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381410318432 = 25112137577287
BaseRepresentation
bin1011000110011011101…
…00111001100001100000
31100110111010210200221002
411203031310321201200
522222112020142212
6451114550451132
736361463133443
oct5431564714140
91313433720832
10381410318432
111378341aa500
1261b05663aa8
1329c751b5970
141466331765a
159dc48aeac2
hex58cdd39860

381410318432 has 72 divisors (see below), whose sum is σ = 888861346128. Its totient is φ = 160032280320.

The previous prime is 381410318423. The next prime is 381410318461. The reversal of 381410318432 is 234813014183.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3738308 + ... + 3838979.

It is an arithmetic number, because the mean of its divisors is an integer number (12345296474).

Almost surely, 2381410318432 is an apocalyptic number.

381410318432 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

381410318432 is an abundant number, since it is smaller than the sum of its proper divisors (507451027696).

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

381410318432 is a wasteful number, since it uses less digits than its factorization.

381410318432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7577332 (or 7577313 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 38.

The spelling of 381410318432 in words is "three hundred eighty-one billion, four hundred ten million, three hundred eighteen thousand, four hundred thirty-two".

Divisors: 1 2 4 8 11 13 16 22 26 32 44 52 88 104 121 143 176 208 242 286 352 416 484 572 968 1144 1573 1936 2288 3146 3872 4576 6292 12584 25168 50336 7577287 15154574 30309148 60618296 83350157 98504731 121236592 166700314 197009462 242473184 333400628 394018924 666801256 788037848 916851727 1083552041 1333602512 1576075696 1833703454 2167104082 2667205024 3152151392 3667406908 4334208164 7334813816 8668416328 11919072451 14669627632 17336832656 23838144902 29339255264 34673665312 47676289804 95352579608 190705159216 381410318432