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23968607904 = 2532174895549
BaseRepresentation
bin10110010100101000…
…111110111010100000
32021212102011102211200
4112110220332322200
5343041430423104
615002214241200
71505651543223
oct262450767240
967772142750
1023968607904
11a18a72196a
12478b056200
13234c957837
1412353c75ba
1595438eb39
hex594a3eea0

23968607904 has 72 divisors (see below), whose sum is σ = 72170198100. Its totient is φ = 7519561728.

The previous prime is 23968607903. The next prime is 23968607933. The reversal of 23968607904 is 40970686932.

It is a happy number.

23968607904 is a `hidden beast` number, since 23 + 9 + 6 + 8 + 607 + 9 + 0 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 18619148304 + 5349459600 = 136452^2 + 73140^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (23968607903) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2442879 + ... + 2452670.

Almost surely, 223968607904 is an apocalyptic number.

23968607904 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

23968607904 is an abundant number, since it is smaller than the sum of its proper divisors (48201590196).

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

23968607904 is a wasteful number, since it uses less digits than its factorization.

23968607904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4895582 (or 4895571 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 23968607904 in words is "twenty-three billion, nine hundred sixty-eight million, six hundred seven thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 68 72 96 102 136 144 153 204 272 288 306 408 544 612 816 1224 1632 2448 4896 4895549 9791098 14686647 19582196 29373294 39164392 44059941 58746588 78328784 83224333 88119882 117493176 156657568 166448666 176239764 234986352 249672999 332897332 352479528 469972704 499345998 665794664 704959056 749018997 998691996 1331589328 1409918112 1498037994 1997383992 2663178656 2996075988 3994767984 5992151976 7989535968 11984303952 23968607904