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381631607415 = 32516352028849
BaseRepresentation
bin1011000110110110000…
…01000011001001110111
31100111001120012100100100
411203123001003021313
522223040142414130
6451152533445143
736400121066022
oct5433301031167
91314046170310
10381631607415
11137938103163
1261b677a07b3
1329cabcb4ca6
141468487c1b9
159dd9021c60
hex58db043277

381631607415 has 24 divisors (see below), whose sum is σ = 665553049200. Its totient is φ = 202288161024.

The previous prime is 381631607393. The next prime is 381631607437. The reversal of 381631607415 is 514706136183.

381631607415 is a `hidden beast` number, since 3 + 8 + 1 + 6 + 31 + 607 + 4 + 1 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (381631607393) and next prime (381631607437).

It is not a de Polignac number, because 381631607415 - 212 = 381631603319 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26007090 + ... + 26021759.

It is an arithmetic number, because the mean of its divisors is an integer number (27731377050).

Almost surely, 2381631607415 is an apocalyptic number.

381631607415 is a deficient number, since it is larger than the sum of its proper divisors (283921441785).

381631607415 is a wasteful number, since it uses less digits than its factorization.

381631607415 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52029023 (or 52029020 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 381631607415 in words is "three hundred eighty-one billion, six hundred thirty-one million, six hundred seven thousand, four hundred fifteen".

Divisors: 1 3 5 9 15 45 163 489 815 1467 2445 7335 52028849 156086547 260144245 468259641 780432735 2341298205 8480702387 25442107161 42403511935 76326321483 127210535805 381631607415