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23805121984 = 26734325219
BaseRepresentation
bin10110001010111001…
…010101010111000000
32021110000112111022121
4112022321111113000
5342223102400414
614534054214024
71501625125000
oct261271252700
967400474277
1023805121984
11a106409536
124744354314
132324b164c7
14121b7cc000
15944d49724
hex58ae555c0

23805121984 has 112 divisors (see below), whose sum is σ = 56371744000. Its totient is φ = 9964539648.

The previous prime is 23805121957. The next prime is 23805121997. The reversal of 23805121984 is 48912150832.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (43).

It is a self number, because there is not a number n which added to its sum of digits gives 23805121984.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 931327 + ... + 956545.

Almost surely, 223805121984 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 23805121984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28185872000).

23805121984 is an abundant number, since it is smaller than the sum of its proper divisors (32566622016).

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

23805121984 is an equidigital number, since it uses as much as digits as its factorization.

23805121984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25295 (or 25271 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 43.

The spelling of 23805121984 in words is "twenty-three billion, eight hundred five million, one hundred twenty-one thousand, nine hundred eighty-four".

Divisors: 1 2 4 7 8 14 16 28 32 43 49 56 64 86 98 112 172 196 224 301 343 344 392 448 602 686 688 784 1204 1372 1376 1568 2107 2408 2744 2752 3136 4214 4816 5488 8428 9632 10976 14749 16856 19264 21952 25219 29498 33712 50438 58996 67424 100876 117992 134848 176533 201752 235984 353066 403504 471968 706132 807008 943936 1084417 1235731 1412264 1614016 2168834 2471462 2824528 4337668 4942924 5649056 7590919 8650117 8675336 9885848 11298112 15181838 17300234 17350672 19771696 30363676 34600468 34701344 39543392 53136433 60727352 69200936 69402688 79086784 106272866 121454704 138401872 212545732 242909408 276803744 371955031 425091464 485818816 553607488 743910062 850182928 1487820124 1700365856 2975640248 3400731712 5951280496 11902560992 23805121984