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20233710864 = 24322292692281
BaseRepresentation
bin10010110110000001…
…011110110100010000
31221020010022000021200
4102312001132310100
5312414312221424
613143434351200
71314260463453
oct226601366420
957203260250
1020233710864
1186434474a4
123b0828b500
131ba5c35ca3
14d9d36149a
157d65338c9
hex4b605ed10

20233710864 has 120 divisors (see below), whose sum is σ = 57110016600. Its totient is φ = 6687221760.

The previous prime is 20233710859. The next prime is 20233710877. The reversal of 20233710864 is 46801733202.

It is a happy number.

20233710864 is a `hidden beast` number, since 202 + 3 + 371 + 0 + 86 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3685461264 + 16548249600 = 60708^2 + 128640^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8869404 + ... + 8871684.

It is an arithmetic number, because the mean of its divisors is an integer number (475916805).

Almost surely, 220233710864 is an apocalyptic number.

20233710864 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 20233710864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28555008300).

20233710864 is an abundant number, since it is smaller than the sum of its proper divisors (36876305736).

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

20233710864 is a wasteful number, since it uses less digits than its factorization.

20233710864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2793 (or 2784 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 20233710864 in words is "twenty billion, two hundred thirty-three million, seven hundred ten thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 229 269 458 538 687 807 916 1076 1374 1614 1832 2061 2152 2281 2421 2748 3228 3664 4122 4304 4562 4842 5496 6456 6843 8244 9124 9684 10992 12912 13686 16488 18248 19368 20529 27372 32976 36496 38736 41058 54744 61601 82116 109488 123202 164232 184803 246404 328464 369606 492808 522349 554409 613589 739212 985616 1044698 1108818 1227178 1478424 1567047 1840767 2089396 2217636 2454356 2956848 3134094 3681534 4178792 4435272 4701141 4908712 5522301 6268188 7363068 8357584 8870544 9402282 9817424 11044602 12536376 14726136 18804564 22089204 25072752 29452272 37609128 44178408 75218256 88356816 140511881 281023762 421535643 562047524 843071286 1124095048 1264606929 1686142572 2248190096 2529213858 3372285144 5058427716 6744570288 10116855432 20233710864