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381414755376 = 24322991334951
BaseRepresentation
bin1011000110011100001…
…01110100110000110000
31100110111110011010021100
411203032011310300300
522222114134133001
6451115225524400
736361545633234
oct5431605646060
91313443133240
10381414755376
1113783675aaa6
1261b07043700
1329c760aa385
1414663b505c4
159dc4e89586
hex58ce174c30

381414755376 has 60 divisors (see below), whose sum is σ = 1104239569680. Its totient is φ = 122754172800.

The previous prime is 381414755363. The next prime is 381414755383. The reversal of 381414755376 is 673557414183.

381414755376 is a `hidden beast` number, since 3 + 8 + 1 + 4 + 14 + 7 + 553 + 76 = 666.

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 11 ways as a sum of consecutive naturals, for example, 45663300 + ... + 45671651.

It is an arithmetic number, because the mean of its divisors is an integer number (18403992828).

Almost surely, 2381414755376 is an apocalyptic number.

381414755376 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

381414755376 is an abundant number, since it is smaller than the sum of its proper divisors (722824814304).

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

381414755376 is a wasteful number, since it uses less digits than its factorization.

381414755376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91334994 (or 91334985 counting only the distinct ones).

The product of its digits is 8467200, while the sum is 54.

The spelling of 381414755376 in words is "three hundred eighty-one billion, four hundred fourteen million, seven hundred fifty-five thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 36 48 58 72 87 116 144 174 232 261 348 464 522 696 1044 1392 2088 4176 91334951 182669902 274004853 365339804 548009706 730679608 822014559 1096019412 1461359216 1644029118 2192038824 2648713579 3288058236 4384077648 5297427158 6576116472 7946140737 10594854316 13152232944 15892281474 21189708632 23838422211 31784562948 42379417264 47676844422 63569125896 95353688844 127138251792 190707377688 381414755376