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38635930464 = 2531723673977
BaseRepresentation
bin100011111110111000…
…011000001101100000
310200201121022121212120
4203332320120031200
51113111244233324
625425450024240
72535301663455
oct437670301540
9120647277776
1038635930464
1115426a8044a
1275a3118080
1338495a4221
141c2736d82c
151011d8d179
hex8fee18360

38635930464 has 48 divisors (see below), whose sum is σ = 107385164208. Its totient is φ = 12121075712.

The previous prime is 38635930409. The next prime is 38635930471. The reversal of 38635930464 is 46403953683.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (51).

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, 11835357 + ... + 11838620.

It is an arithmetic number, because the mean of its divisors is an integer number (2237190921).

Almost surely, 238635930464 is an apocalyptic number.

38635930464 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

38635930464 is an abundant number, since it is smaller than the sum of its proper divisors (68749233744).

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

38635930464 is a wasteful number, since it uses less digits than its factorization.

38635930464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23674007 (or 23673999 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 51.

The spelling of 38635930464 in words is "thirty-eight billion, six hundred thirty-five million, nine hundred thirty thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 68 96 102 136 204 272 408 544 816 1632 23673977 47347954 71021931 94695908 142043862 189391816 284087724 378783632 402457609 568175448 757567264 804915218 1136350896 1207372827 1609830436 2272701792 2414745654 3219660872 4829491308 6439321744 9658982616 12878643488 19317965232 38635930464