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1868077074432 = 2113833663241
BaseRepresentation
bin11011001011110010000…
…100100000100000000000
320121120211111120212100210
4123023302010200200000
5221101310212340212
63550103250514120
7251651456065512
oct33136204404000
96546744525323
101868077074432
11660279898278
12262067295940
1310720b19007a
14665b5c6dbb2
15338d642d53c
hex1b2f2120800

1868077074432 has 96 divisors (see below), whose sum is σ = 5040327932640. Its totient is φ = 615189872640.

The previous prime is 1868077074431. The next prime is 1868077074433. The reversal of 1868077074432 is 2344707708681.

It is an interprime number because it is at equal distance from previous prime (1868077074431) and next prime (1868077074433).

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (1868077074431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1321669 + ... + 2341572.

It is an arithmetic number, because the mean of its divisors is an integer number (52503415965).

Almost surely, 21868077074432 is an apocalyptic number.

1868077074432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1868077074432 is an abundant number, since it is smaller than the sum of its proper divisors (3172250858208).

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

1868077074432 is an equidigital number, since it uses as much as digits as its factorization.

1868077074432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3663349 (or 3663329 counting only the distinct ones).

The product of its (nonzero) digits is 12644352, while the sum is 57.

The spelling of 1868077074432 in words is "one trillion, eight hundred sixty-eight billion, seventy-seven million, seventy-four thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 83 96 128 166 192 249 256 332 384 498 512 664 768 996 1024 1328 1536 1992 2048 2656 3072 3984 5312 6144 7968 10624 15936 21248 31872 42496 63744 84992 127488 169984 254976 509952 3663241 7326482 10989723 14652964 21979446 29305928 43958892 58611856 87917784 117223712 175835568 234447424 304049003 351671136 468894848 608098006 703342272 912147009 937789696 1216196012 1406684544 1824294018 1875579392 2432392024 2813369088 3648588036 3751158784 4864784048 5626738176 7297176072 7502317568 9729568096 11253476352 14594352144 19459136192 22506952704 29188704288 38918272384 58377408576 77836544768 116754817152 155673089536 233509634304 311346179072 467019268608 622692358144 934038537216 1868077074432