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23026824431680 = 2651132332727299
BaseRepresentation
bin1010011110001010110011…
…01100001100100001000000
310000112100020222122002200111
411033011121230030201000
511004232414023303210
6120550213242201104
74564430114132116
oct517053154144100
9100470228562614
1023026824431680
1173786920a1313
1226ba904ab3194
13cb0560312804
1459870b933ab6
1529dea952e88a
hex14f159b0c840

23026824431680 has 112 divisors (see below), whose sum is σ = 55322268019200. Its totient is φ = 9128493129728.

The previous prime is 23026824431671. The next prime is 23026824431693. The reversal of 23026824431680 is 8613442862032.

It is a happy 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, 843490671 + ... + 843517969.

It is an arithmetic number, because the mean of its divisors is an integer number (493948821600).

Almost surely, 223026824431680 is an apocalyptic number.

23026824431680 is a gapful number since it is divisible by the number (20) 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 23026824431680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27661134009600).

23026824431680 is an abundant number, since it is smaller than the sum of its proper divisors (32295443587520).

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

23026824431680 is a wasteful number, since it uses less digits than its factorization.

23026824431680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50756 (or 50746 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 49.

The spelling of 23026824431680 in words is "twenty-three trillion, twenty-six billion, eight hundred twenty-four million, four hundred thirty-one thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 113 160 226 320 452 565 904 1130 1808 2260 3616 4520 7232 9040 18080 23327 27299 36160 46654 54598 93308 109196 116635 136495 186616 218392 233270 272990 373232 436784 466540 545980 746464 873568 933080 1091960 1492928 1747136 1866160 2183920 2635951 3084787 3732320 4367840 5271902 6169574 7464640 8735680 10543804 12339148 13179755 15423935 21087608 24678296 26359510 30847870 42175216 49356592 52719020 61695740 84350432 98713184 105438040 123391480 168700864 197426368 210876080 246782960 421752160 493565920 636803773 843504320 987131840 1273607546 2547215092 3184018865 5094430184 6368037730 10188860368 12736075460 20377720736 25472150920 40755441472 50944301840 71958826349 101888603680 143917652698 203777207360 287835305396 359794131745 575670610792 719588263490 1151341221584 1439176526980 2302682443168 2878353053960 4605364886336 5756706107920 11513412215840 23026824431680