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5394021136 = 2472432612
BaseRepresentation
bin1010000011000001…
…00011101100010000
3111220220210122221121
411001200203230100
542021332134021
62251124332024
7250445265100
oct50140435420
914826718847
105394021136
112318869a09
121066544014
1367c6889aa
1439254b200
15218838741
hex141823b10

5394021136 has 135 divisors (see below), whose sum is σ = 12653873973. Its totient is φ = 2220946560.

The previous prime is 5394021121. The next prime is 5394021161. The reversal of 5394021136 is 6311204935.

The square root of 5394021136 is 73444.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 175403536 + 5218617600 = 13244^2 + 72240^2 .

It is a super-2 number, since 2×53940211362 = 58190928031229460992, which contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 88426546 + ... + 88426606.

Almost surely, 25394021136 is an apocalyptic number.

5394021136 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

5394021136 is the 73444-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5394021136

5394021136 is an abundant number, since it is smaller than the sum of its proper divisors (7259852837).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5394021136 is an equidigital number, since it uses as much as digits as its factorization.

5394021136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 34.

The cubic root of 5394021136 is about 1753.7629110581.

It can be divided in two parts, 53940 and 21136, that added together give a square (75076 = 2742).

The spelling of 5394021136 in words is "five billion, three hundred ninety-four million, twenty-one thousand, one hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 28 43 49 56 61 86 98 112 122 172 196 244 301 344 392 427 488 602 688 784 854 976 1204 1708 1849 2107 2408 2623 2989 3416 3698 3721 4214 4816 5246 5978 6832 7396 7442 8428 10492 11956 12943 14792 14884 16856 18361 20984 23912 25886 26047 29584 29768 33712 36722 41968 47824 51772 52094 59536 73444 90601 103544 104188 112789 128527 146888 160003 181202 182329 207088 208376 225578 257054 293776 320006 362404 364658 416752 451156 514108 640012 724808 729316 789523 902312 1028216 1120021 1280024 1449616 1458632 1579046 1804624 2056432 2240042 2560048 2917264 3158092 4480084 5526661 6316184 6880129 7840147 8960168 11053322 12632368 13760258 15680294 17920336 22106644 27520516 31360588 44213288 48160903 55041032 62721176 88426576 96321806 110082064 125442352 192643612 337126321 385287224 674252642 770574448 1348505284 2697010568 5394021136