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2147926336 = 2617531932
BaseRepresentation
bin1000000000000110…
…1100000101000000
312112200200222000021
42000001230011000
513344332120321
6553045303224
7104141033623
oct20001540500
95480628007
102147926336
11a024a2936
124bb404b14
13282ccb43a
141653a3dba
15c8882941
hex8006c140

2147926336 has 84 divisors (see below), whose sum is σ = 4622113692. Its totient is φ = 986578944.

The previous prime is 2147926321. The next prime is 2147926343. The reversal of 2147926336 is 6336297412.

It can be written as a sum of positive squares in 6 ways, for example, as 160000 + 2147766336 = 400^2 + 46344^2 .

It is a super-2 number, since 2×21479263362 = 9227175089764769792, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2147926292 and 2147926301.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11129056 + ... + 11129248.

It is an arithmetic number, because the mean of its divisors is an integer number (55025163).

Almost surely, 22147926336 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2147926336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2311056846).

2147926336 is an abundant number, since it is smaller than the sum of its proper divisors (2474187356).

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

2147926336 is an equidigital number, since it uses as much as digits as its factorization.

2147926336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 468 (or 265 counting only the distinct ones).

The product of its digits is 326592, while the sum is 43.

The square root of 2147926336 is about 46345.7261891536. The cubic root of 2147926336 is about 1290.2478012831.

The spelling of 2147926336 in words is "two billion, one hundred forty-seven million, nine hundred twenty-six thousand, three hundred thirty-six".

Divisors: 1 2 4 8 16 17 32 34 53 64 68 106 136 193 212 272 386 424 544 772 848 901 1088 1544 1696 1802 3088 3281 3392 3604 6176 6562 7208 10229 12352 13124 14416 20458 26248 28832 37249 40916 52496 57664 74498 81832 104992 148996 163664 173893 209984 297992 327328 347786 595984 633233 654656 695572 1191968 1266466 1391144 1974197 2383936 2532932 2782288 3948394 5065864 5564576 7896788 10131728 11129152 15793576 20263456 31587152 33561349 40526912 63174304 67122698 126348608 134245396 268490792 536981584 1073963168 2147926336