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23729486560 = 2551311408407
BaseRepresentation
bin10110000110011000…
…110011101011100000
32021020202012211000121
4112012120303223200
5342044222032220
614522353130024
71500016210363
oct260630635340
967222184017
1023729486560
11a07774951a
124722b59914
132312253910
1412117400da
1593d3a8eaa
hex586633ae0

23729486560 has 48 divisors (see below), whose sum is σ = 60373295136. Its totient is φ = 8761655808.

The previous prime is 23729486497. The next prime is 23729486603. The reversal of 23729486560 is 6568492732.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a junction number, because it is equal to n+sod(n) for n = 23729486498 and 23729486507.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5702124 + ... + 5706283.

It is an arithmetic number, because the mean of its divisors is an integer number (1257776982).

Almost surely, 223729486560 is an apocalyptic number.

23729486560 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23729486560 is an abundant number, since it is smaller than the sum of its proper divisors (36643808576).

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

23729486560 is a wasteful number, since it uses less digits than its factorization.

23729486560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11408435 (or 11408427 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 52.

The spelling of 23729486560 in words is "twenty-three billion, seven hundred twenty-nine million, four hundred eighty-six thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 65 80 104 130 160 208 260 416 520 1040 2080 11408407 22816814 45633628 57042035 91267256 114084070 148309291 182534512 228168140 296618582 365069024 456336280 593237164 741546455 912672560 1186474328 1483092910 1825345120 2372948656 2966185820 4745897312 5932371640 11864743280 23729486560