Search a number
-
+
23699062688 = 2571491813923
BaseRepresentation
bin10110000100100100…
…101111111110100000
32021011121222010022112
4112010210233332200
5342013430001223
614515345054452
71466166465140
oct260444577640
967147863275
1023699062688
11a061559624
124714927428
132308b60a22
14120b6a0920
1593a899778
hex58492ffa0

23699062688 has 96 divisors (see below), whose sum is σ = 53991100800. Its totient is φ = 10030279680.

The previous prime is 23699062663. The next prime is 23699062697. The reversal of 23699062688 is 88626099632.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 6039095 + ... + 6043017.

It is an arithmetic number, because the mean of its divisors is an integer number (562407300).

Almost surely, 223699062688 is an apocalyptic number.

23699062688 is a gapful number since it is divisible by the number (28) 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 23699062688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26995550400).

23699062688 is an abundant number, since it is smaller than the sum of its proper divisors (30292038112).

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

23699062688 is a wasteful number, since it uses less digits than its factorization.

23699062688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4270 (or 4262 counting only the distinct ones).

The product of its (nonzero) digits is 13436928, while the sum is 59.

The spelling of 23699062688 in words is "twenty-three billion, six hundred ninety-nine million, sixty-two thousand, six hundred eighty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 149 181 224 298 362 596 724 1043 1192 1267 1448 2086 2384 2534 2896 3923 4172 4768 5068 5792 7846 8344 10136 15692 16688 20272 26969 27461 31384 33376 40544 53938 54922 62768 107876 109844 125536 188783 215752 219688 377566 431504 439376 584527 710063 755132 863008 878752 1169054 1420126 1510264 2338108 2840252 3020528 4091689 4676216 4970441 5680504 6041056 8183378 9352432 9940882 11361008 16366756 18704864 19881764 22722016 32733512 39763528 65467024 79527056 105799387 130934048 159054112 211598774 423197548 740595709 846395096 1481191418 1692790192 2962382836 3385580384 5924765672 11849531344 23699062688