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32130512172 = 2232111917923857
BaseRepresentation
bin11101111011001000…
…001011010100101100
310001221020020010122100
4131323020023110230
51011300402342142
622432140215100
72215136563413
oct357310132454
9101836203570
1032130512172
11126989223a0
12628853a490
1330508a70a5
1417ab39847a
15c80bbbb4c
hex77b20b52c

32130512172 has 144 divisors (see below), whose sum is σ = 93790569600. Its totient is φ = 9172154880.

The previous prime is 32130512171. The next prime is 32130512179. The reversal of 32130512172 is 27121503123.

32130512172 is a `hidden beast` number, since 3 + 2 + 130 + 512 + 17 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (32130512171) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1334868 + ... + 1358724.

It is an arithmetic number, because the mean of its divisors is an integer number (651323400).

Almost surely, 232130512172 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32130512172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46895284800).

32130512172 is an abundant number, since it is smaller than the sum of its proper divisors (61660057428).

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

32130512172 is a wasteful number, since it uses less digits than its factorization.

32130512172 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24076 (or 24071 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The spelling of 32130512172 in words is "thirty-two billion, one hundred thirty million, five hundred twelve thousand, one hundred seventy-two".

Divisors: 1 2 3 4 6 9 11 12 18 19 22 33 36 38 44 57 66 76 99 114 132 171 179 198 209 228 342 358 396 418 537 627 684 716 836 1074 1254 1611 1881 1969 2148 2508 3222 3401 3762 3938 5907 6444 6802 7524 7876 10203 11814 13604 17721 20406 23628 23857 30609 35442 37411 40812 47714 61218 70884 71571 74822 95428 112233 122436 143142 149644 214713 224466 262427 286284 336699 429426 448932 453283 524854 673398 787281 858852 906566 1049708 1346796 1359849 1574562 1813132 2361843 2719698 3149124 4079547 4270403 4723686 4986113 5439396 8159094 8540806 9447372 9972226 12811209 14958339 16318188 17081612 19944452 25622418 29916678 38433627 44875017 46974433 51244836 59833356 76867254 81137657 89750034 93948866 140923299 153734508 162275314 179500068 187897732 243412971 281846598 324550628 422769897 486825942 563693196 730238913 845539794 892514227 973651884 1460477826 1691079588 1785028454 2677542681 2920955652 3570056908 5355085362 8032628043 10710170724 16065256086 32130512172