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72264483380 = 22523281727769
BaseRepresentation
bin100001101001101001…
…1001000001000110100
320220112020101010002102
41003103103020020310
52140444201432010
653110422401232
75135531655005
oct1032323101064
9226466333072
1072264483380
1128713464a41
1212009290218
136a7863584b
1436d767b1ac
151d2e318ba5
hex10d34c8234

72264483380 has 96 divisors (see below), whose sum is σ = 159342543360. Its totient is φ = 27476951040.

The previous prime is 72264483367. The next prime is 72264483409. The reversal of 72264483380 is 8338446227.

It is a congruent number.

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, 93971636 + ... + 93972404.

It is an arithmetic number, because the mean of its divisors is an integer number (1659818160).

Almost surely, 272264483380 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 72264483380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79671271680).

72264483380 is an abundant number, since it is smaller than the sum of its proper divisors (87078059980).

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

72264483380 is a wasteful number, since it uses less digits than its factorization.

72264483380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1809 (or 1807 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 47.

The spelling of 72264483380 in words is "seventy-two billion, two hundred sixty-four million, four hundred eighty-three thousand, three hundred eighty".

Divisors: 1 2 4 5 10 20 23 46 92 115 230 281 460 562 727 769 1124 1405 1454 1538 2810 2908 3076 3635 3845 5620 6463 7270 7690 12926 14540 15380 16721 17687 25852 32315 33442 35374 64630 66884 70748 83605 88435 129260 167210 176870 204287 216089 334420 353740 408574 432178 559063 817148 864356 1021435 1080445 1118126 2042870 2160890 2236252 2795315 4085740 4321780 4698601 4970047 5590630 9397202 9940094 11181260 12858449 18794404 19880188 23493005 24850235 25716898 46986010 49700470 51433796 64292245 93972020 99400940 128584490 157096703 257168980 314193406 628386812 785483515 1570967030 3141934060 3613224169 7226448338 14452896676 18066120845 36132241690 72264483380