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23699480064 = 293131962467
BaseRepresentation
bin10110000100100110…
…010101111000000000
32021011122202022211220
4112010212111320000
5342014031330224
614515402035040
71466203154031
oct260446257000
967148668756
1023699480064
11a061814167
124714aa8a80
132308c789b0
14120b76ca88
1593a92d279
hex584995e00

23699480064 has 160 divisors (see below), whose sum is σ = 71573335680. Its totient is φ = 6908239872.

The previous prime is 23699480047. The next prime is 23699480069. The reversal of 23699480064 is 46008499632.

It is a junction number, because it is equal to n+sod(n) for n = 23699479989 and 23699480016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23699480069) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 348159 + ... + 410625.

It is an arithmetic number, because the mean of its divisors is an integer number (447333348).

Almost surely, 223699480064 is an apocalyptic number.

23699480064 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23699480064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35786667840).

23699480064 is an abundant number, since it is smaller than the sum of its proper divisors (47873855616).

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

23699480064 is a wasteful number, since it uses less digits than its factorization.

23699480064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62520 (or 62504 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 51.

The spelling of 23699480064 in words is "twenty-three billion, six hundred ninety-nine million, four hundred eighty thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 13 16 19 24 26 32 38 39 48 52 57 64 76 78 96 104 114 128 152 156 192 208 228 247 256 304 312 384 416 456 494 512 608 624 741 768 832 912 988 1216 1248 1482 1536 1664 1824 1976 2432 2496 2964 3328 3648 3952 4864 4992 5928 6656 7296 7904 9728 9984 11856 14592 15808 19968 23712 29184 31616 47424 62467 63232 94848 124934 126464 187401 189696 249868 374802 379392 499736 749604 812071 999472 1186873 1499208 1624142 1998944 2373746 2436213 2998416 3248284 3560619 3997888 4747492 4872426 5996832 6496568 7121238 7995776 9494984 9744852 11993664 12993136 14242476 15429349 15991552 18989968 19489704 23987328 25986272 28484952 30858698 31983104 37979936 38979408 46288047 47974656 51972544 56969904 61717396 75959872 77958816 92576094 95949312 103945088 113939808 123434792 151919744 155917632 185152188 207890176 227879616 246869584 303839488 311835264 370304376 415780352 455759232 493739168 607678976 623670528 740608752 911518464 987478336 1247341056 1481217504 1823036928 1974956672 2962435008 3949913344 5924870016 7899826688 11849740032 23699480064