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19924657152 = 210317381523
BaseRepresentation
bin10010100011100110…
…100010010000000000
31220102120202110021220
4102203212202100000
5311301203012102
613053034315040
71303515535311
oct224346422000
956376673256
1019924657152
1184a4a49904
123a40888a80
131b56bb827a
14d702b2608
157b93371bc
hex4a39a2400

19924657152 has 88 divisors (see below), whose sum is σ = 56230533216. Its totient is φ = 6250856448.

The previous prime is 19924657141. The next prime is 19924657153. The reversal of 19924657152 is 25175642991.

It is a super-2 number, since 2×199246571522 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a junction number, because it is equal to n+sod(n) for n = 19924657095 and 19924657104.

It is not an unprimeable number, because it can be changed into a prime (19924657153) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 138538 + ... + 242985.

It is an arithmetic number, because the mean of its divisors is an integer number (638983332).

Almost surely, 219924657152 is an apocalyptic number.

19924657152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

19924657152 is an abundant number, since it is smaller than the sum of its proper divisors (36305876064).

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

19924657152 is a wasteful number, since it uses less digits than its factorization.

19924657152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 381563 (or 381545 counting only the distinct ones).

The product of its digits is 1360800, while the sum is 51.

The spelling of 19924657152 in words is "nineteen billion, nine hundred twenty-four million, six hundred fifty-seven thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 128 136 192 204 256 272 384 408 512 544 768 816 1024 1088 1536 1632 2176 3072 3264 4352 6528 8704 13056 17408 26112 52224 381523 763046 1144569 1526092 2289138 3052184 4578276 6104368 6485891 9156552 12208736 12971782 18313104 19457673 24417472 25943564 36626208 38915346 48834944 51887128 73252416 77830692 97669888 103774256 146504832 155661384 195339776 207548512 293009664 311322768 390679552 415097024 586019328 622645536 830194048 1172038656 1245291072 1660388096 2490582144 3320776192 4981164288 6641552384 9962328576 19924657152