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72144285876 = 22341317128273
BaseRepresentation
bin100001100110000100…
…0100111000010110100
320220012212012110010000
41003030020213002310
52140222414122001
653050450231300
75132542211655
oct1031410470264
9226185173100
1072144285876
1128661628863
1211b94b85530
136a5976ca70
1436c570d52c
151d239c4a86
hex10cc2270b4

72144285876 has 60 divisors (see below), whose sum is σ = 203107073092. Its totient is φ = 22198240512.

The previous prime is 72144285793. The next prime is 72144285877. The reversal of 72144285876 is 67858244127.

72144285876 is a `hidden beast` number, since 7 + 2 + 14 + 42 + 8 + 587 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 8476884900 + 63667400976 = 92070^2 + 252324^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72144285877) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 8559925 + ... + 8568348.

Almost surely, 272144285876 is an apocalyptic number.

It is an amenable number.

72144285876 is an abundant number, since it is smaller than the sum of its proper divisors (130962787216).

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

72144285876 is a wasteful number, since it uses less digits than its factorization.

72144285876 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17128302 (or 17128291 counting only the distinct ones).

The product of its digits is 6021120, while the sum is 54.

The spelling of 72144285876 in words is "seventy-two billion, one hundred forty-four million, two hundred eighty-five thousand, eight hundred seventy-six".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 81 108 117 156 162 234 324 351 468 702 1053 1404 2106 4212 17128273 34256546 51384819 68513092 102769638 154154457 205539276 222667549 308308914 445335098 462463371 616617828 668002647 890670196 924926742 1336005294 1387390113 1849853484 2004007941 2672010588 2774780226 4008015882 5549560452 6012023823 8016031764 12024047646 18036071469 24048095292 36072142938 72144285876