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72414160368 = 24311137148031
BaseRepresentation
bin100001101110000111…
…0000110010111110000
320220220200000111022120
41003130032012113300
52141301011112433
653133330434240
75142330131034
oct1033416062760
9226820014276
1072414160368
112878a9a6530
121204b432980
136aa0650704
14370d4c01c4
151d3c5327b3
hex10dc3865f0

72414160368 has 40 divisors (see below), whose sum is σ = 204076271616. Its totient is φ = 21943684800.

The previous prime is 72414160349. The next prime is 72414160373. The reversal of 72414160368 is 86306141427.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 68573488 + ... + 68574543.

Almost surely, 272414160368 is an apocalyptic number.

It is an amenable number.

72414160368 is an abundant number, since it is smaller than the sum of its proper divisors (131662111248).

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

72414160368 is a wasteful number, since it uses less digits than its factorization.

72414160368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137148053 (or 137148047 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 42.

The spelling of 72414160368 in words is "seventy-two billion, four hundred fourteen million, one hundred sixty thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 528 137148031 274296062 411444093 548592124 822888186 1097184248 1508628341 1645776372 2194368496 3017256682 3291552744 4525885023 6034513364 6583105488 9051770046 12069026728 18103540092 24138053456 36207080184 72414160368