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38365149374370 = 233572131713121539
BaseRepresentation
bin10001011100100100101010…
…00110011010011110100010
312000211200011020001022112000
420232102111012122132202
520012033311214434440
6213332412321344430
711036535111026100
oct1056222506323642
9160750136038460
1038365149374370
111125162870a845
12437750aa98116
131853a8338ac70
14968c51486c70
15467e73c61730
hex22e49519a7a2

38365149374370 has 384 divisors, whose sum is σ = 135704016403200. Its totient is φ = 7618469935104.

The previous prime is 38365149374333. The next prime is 38365149374371. The reversal of 38365149374370 is 7347394156383.

38365149374370 is a `hidden beast` number, since 3 + 8 + 3 + 6 + 5 + 1 + 493 + 74 + 3 + 70 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 38365149374298 and 38365149374307.

It is not an unprimeable number, because it can be changed into a prime (38365149374371) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3636940 + ... + 9484599.

It is an arithmetic number, because the mean of its divisors is an integer number (353395876050).

Almost surely, 238365149374370 is an apocalyptic number.

38365149374370 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

38365149374370 is an abundant number, since it is smaller than the sum of its proper divisors (97338867028830).

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

38365149374370 is a wasteful number, since it uses less digits than its factorization.

38365149374370 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13121599 (or 13121586 counting only the distinct ones).

The product of its (nonzero) digits is 137168640, while the sum is 63.

The spelling of 38365149374370 in words is "thirty-eight trillion, three hundred sixty-five billion, one hundred forty-nine million, three hundred seventy-four thousand, three hundred seventy".