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4742185968 = 2432132194863
BaseRepresentation
bin1000110101010100…
…00000001111110000
3110020111021000012100
410122222000033300
534202444422333
62102321300400
7225341626032
oct43252001760
913214230170
104742185968
112013927563
12b04194700
135a7611600
1432db4dc52
151cb4cc213
hex11aa803f0

4742185968 has 90 divisors (see below), whose sum is σ = 14371025136. Its totient is φ = 1459126656.

The previous prime is 4742185967. The next prime is 4742185979. The reversal of 4742185968 is 8695812474.

It is a happy number.

4742185968 is a `hidden beast` number, since 4 + 7 + 42 + 1 + 8 + 596 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4742185963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 73096 + ... + 121767.

Almost surely, 24742185968 is an apocalyptic number.

4742185968 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

4742185968 is an abundant number, since it is smaller than the sum of its proper divisors (9628839168).

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

4742185968 is a wasteful number, since it uses less digits than its factorization.

4742185968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194903 (or 194881 counting only the distinct ones).

The product of its digits is 3870720, while the sum is 54.

The square root of 4742185968 is about 68863.5314807482. The cubic root of 4742185968 is about 1680.0654226223.

The spelling of 4742185968 in words is "four billion, seven hundred forty-two million, one hundred eighty-five thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 156 169 208 234 312 338 468 507 624 676 936 1014 1352 1521 1872 2028 2704 3042 4056 6084 8112 12168 24336 194863 389726 584589 779452 1169178 1558904 1753767 2338356 2533219 3117808 3507534 4676712 5066438 7015068 7599657 9353424 10132876 14030136 15199314 20265752 22798971 28060272 30398628 32931847 40531504 45597942 60797256 65863694 91195884 98795541 121594512 131727388 182391768 197591082 263454776 296386623 364783536 395182164 526909552 592773246 790364328 1185546492 1580728656 2371092984 4742185968