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20124397568 = 212113171409
BaseRepresentation
bin10010101111100000…
…011111000000000000
31220221111121022122002
4102233200133000000
5312203321210233
613124531403132
71311462362012
oct225740370000
956844538562
1020124397568
118597774830
123a977534a8
131b893b1372
14d8ca281b2
157cbb3e6e8
hex4af81f000

20124397568 has 104 divisors (see below), whose sum is σ = 44072166960. Its totient is φ = 9112125440.

The previous prime is 20124397541. The next prime is 20124397571. The reversal of 20124397568 is 86579342102.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 14282048 + ... + 14283456.

It is a 2-persistent number, because it is pandigital, and so is 2⋅20124397568 = 40248795136, but 3⋅20124397568 = 60373192704 is not.

Almost surely, 220124397568 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 20124397568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22036083480).

20124397568 is an abundant number, since it is smaller than the sum of its proper divisors (23947769392).

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

20124397568 is a wasteful number, since it uses less digits than its factorization.

20124397568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1761 (or 1739 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 47.

The spelling of 20124397568 in words is "twenty billion, one hundred twenty-four million, three hundred ninety-seven thousand, five hundred sixty-eight".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 256 317 352 512 634 704 1024 1268 1408 1409 2048 2536 2816 2818 3487 4096 5072 5632 5636 6974 10144 11264 11272 13948 15499 20288 22528 22544 27896 30998 40576 45056 45088 55792 61996 81152 90176 111584 123992 162304 180352 223168 247984 324608 360704 446336 446653 495968 649216 721408 892672 893306 991936 1298432 1442816 1785344 1786612 1983872 2885632 3570688 3573224 3967744 4913183 5771264 7141376 7146448 7935488 9826366 14282752 14292896 15870976 19652732 28585792 31741952 39305464 57171584 63483904 78610928 114343168 157221856 228686336 314443712 457372672 628887424 914745344 1257774848 1829490688 2515549696 5031099392 10062198784 20124397568