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72231446034 = 23311419290219
BaseRepresentation
bin100001101000101010…
…1000110011000010010
320220102221012122101000
41003101111012120102
52140412222233114
653103242322430
75134651106136
oct1032125063022
9226387178330
1072231446034
11286a684a550
1211bba1b9416
136a71839217
1436d311b3c6
151d2b48ee09
hex10d1546612

72231446034 has 64 divisors (see below), whose sum is σ = 175525056000. Its totient is φ = 21836002320.

The previous prime is 72231446029. The next prime is 72231446041. The reversal of 72231446034 is 43064413227.

72231446034 is a `hidden beast` number, since 7 + 2 + 2 + 3 + 1 + 44 + 603 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 72231446034.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 103777 + ... + 393995.

It is an arithmetic number, because the mean of its divisors is an integer number (2742579000).

Almost surely, 272231446034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72231446034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87762528000).

72231446034 is an abundant number, since it is smaller than the sum of its proper divisors (103293609966).

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

72231446034 is a wasteful number, since it uses less digits than its factorization.

72231446034 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 290660 (or 290654 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 36.

The spelling of 72231446034 in words is "seventy-two billion, two hundred thirty-one million, four hundred forty-six thousand, thirty-four".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 198 297 419 594 838 1257 2514 3771 4609 7542 9218 11313 13827 22626 27654 41481 82962 124443 248886 290219 580438 870657 1741314 2611971 3192409 5223942 6384818 7835913 9577227 15671826 19154454 28731681 57463362 86195043 121601761 172390086 243203522 364805283 729610566 1094415849 1337619371 2188831698 2675238742 3283247547 4012858113 6566495094 8025716226 12038574339 24077148678 36115723017 72231446034