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38413554768 = 2432318605187
BaseRepresentation
bin100011110001101000…
…000101010001010000
310200011002212202202200
4203301220011101100
51112132332223033
625351423443200
72526631554021
oct436150052120
9120132782680
1038413554768
11153224a5286
127540756500
1338124b4384
141c05a04c48
15eec5b4013
hex8f1a05450

38413554768 has 60 divisors (see below), whose sum is σ = 110972504448. Its totient is φ = 12391467840.

The previous prime is 38413554749. The next prime is 38413554787. The reversal of 38413554768 is 86745531483.

38413554768 is a `hidden beast` number, since 3 + 8 + 4 + 1 + 35 + 547 + 68 = 666.

It is an interprime number because it is at equal distance from previous prime (38413554749) and next prime (38413554787).

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 4298130 + ... + 4307057.

Almost surely, 238413554768 is an apocalyptic number.

It is an amenable number.

38413554768 is an abundant number, since it is smaller than the sum of its proper divisors (72558949680).

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

38413554768 is a wasteful number, since it uses less digits than its factorization.

38413554768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8605232 (or 8605223 counting only the distinct ones).

The product of its digits is 9676800, while the sum is 54.

The spelling of 38413554768 in words is "thirty-eight billion, four hundred thirteen million, five hundred fifty-four thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 36 48 62 72 93 124 144 186 248 279 372 496 558 744 1116 1488 2232 4464 8605187 17210374 25815561 34420748 51631122 68841496 77446683 103262244 137682992 154893366 206524488 266760797 309786732 413048976 533521594 619573464 800282391 1067043188 1239146928 1600564782 2134086376 2400847173 3201129564 4268172752 4801694346 6402259128 9603388692 12804518256 19206777384 38413554768