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11442627421160 = 2351382349267217
BaseRepresentation
bin1010011010000011000110…
…1111100010001111101000
31111111220102101020102001112
42212200301233202033220
52444434000104434120
640200400453205452
72260462655164205
oct246406157421750
944456371212045
1011442627421160
1137118779637a1
1213497a8930888
1365005c268b10
142b7b7cc44cac
1514c9b0584bc5
hexa6831be23e8

11442627421160 has 64 divisors (see below), whose sum is σ = 27726806898000. Its totient is φ = 4224903008256.

The previous prime is 11442627421133. The next prime is 11442627421171. The reversal of 11442627421160 is 6112472624411.

It can be written as a sum of positive squares in 8 ways, for example, as 7622314809316 + 3820312611844 = 2760854^2 + 1954562^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42687872 + ... + 42955088.

Almost surely, 211442627421160 is an apocalyptic number.

11442627421160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11442627421160 is an abundant number, since it is smaller than the sum of its proper divisors (16284179476840).

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

11442627421160 is a wasteful number, since it uses less digits than its factorization.

11442627421160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349590 (or 349586 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 41.

The spelling of 11442627421160 in words is "eleven trillion, four hundred forty-two billion, six hundred twenty-seven million, four hundred twenty-one thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 520 82349 164698 267217 329396 411745 534434 658792 823490 1068868 1070537 1336085 1646980 2137736 2141074 2672170 3293960 3473821 4282148 5344340 5352685 6947642 8564296 10688680 10705370 13895284 17369105 21410740 27790568 34738210 42821480 69476420 138952840 22005052733 44010105466 88020210932 110025263665 176040421864 220050527330 286065685529 440101054660 572131371058 880202109320 1144262742116 1430328427645 2288525484232 2860656855290 5721313710580 11442627421160