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72670489632 = 2533136469951
BaseRepresentation
bin100001110101101111…
…1111010110000100000
320221120112100100222000
41003223133322300200
52142312121132012
653215004444000
75151561653466
oct1035337726040
9227515310860
1072670489632
11289016624a4
1212101249600
136b1179ac30
143735566836
151d54cb6ddc
hex10eb7fac20

72670489632 has 96 divisors (see below), whose sum is σ = 228259906560. Its totient is φ = 22360147200.

The previous prime is 72670489603. The next prime is 72670489651. The reversal of 72670489632 is 23698407627.

72670489632 is a `hidden beast` number, since 72 + 67 + 0 + 489 + 6 + 32 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3223744 + ... + 3246207.

It is an arithmetic number, because the mean of its divisors is an integer number (2377707360).

Almost surely, 272670489632 is an apocalyptic number.

72670489632 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

72670489632 is an abundant number, since it is smaller than the sum of its proper divisors (155589416928).

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

72670489632 is a wasteful number, since it uses less digits than its factorization.

72670489632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6469983 (or 6469969 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 54.

The spelling of 72670489632 in words is "seventy-two billion, six hundred seventy million, four hundred eighty-nine thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 72 78 96 104 108 117 144 156 208 216 234 288 312 351 416 432 468 624 702 864 936 1248 1404 1872 2808 3744 5616 11232 6469951 12939902 19409853 25879804 38819706 51759608 58229559 77639412 84109363 103519216 116459118 155278824 168218726 174688677 207038432 232918236 252328089 310557648 336437452 349377354 465836472 504656178 621115296 672874904 698754708 756984267 931672944 1009312356 1345749808 1397509416 1513968534 1863345888 2018624712 2270952801 2691499616 2795018832 3027937068 4037249424 4541905602 5590037664 6055874136 8074498848 9083811204 12111748272 18167622408 24223496544 36335244816 72670489632