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381744000096 = 25337472286659
BaseRepresentation
bin1011000111000011011…
…01110010110001100000
31100111100101200111010020
411203201231302301200
522223302431000341
6451212030433440
736402654314334
oct5434155626140
91314311614106
10381744000096
11137995599478
1261b99362880
1329cc9377434
14146957777c4
159de3d23566
hex58e1b72c60

381744000096 has 96 divisors (see below), whose sum is σ = 1051058695680. Its totient is φ = 121174580736.

The previous prime is 381744000067. The next prime is 381744000167. The reversal of 381744000096 is 690000447183.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 976386 + ... + 1310273.

It is an arithmetic number, because the mean of its divisors is an integer number (10948528080).

Almost surely, 2381744000096 is an apocalyptic number.

It is an amenable number.

381744000096 is an abundant number, since it is smaller than the sum of its proper divisors (669314695584).

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

381744000096 is a wasteful number, since it uses less digits than its factorization.

381744000096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2286756 (or 2286748 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The spelling of 381744000096 in words is "three hundred eighty-one billion, seven hundred forty-four million, ninety-six", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 12 16 24 32 37 47 48 74 94 96 111 141 148 188 222 282 296 376 444 564 592 752 888 1128 1184 1504 1739 1776 2256 3478 3552 4512 5217 6956 10434 13912 20868 27824 41736 55648 83472 166944 2286659 4573318 6859977 9146636 13719954 18293272 27439908 36586544 54879816 73173088 84606383 107472973 109759632 169212766 214945946 219519264 253819149 322418919 338425532 429891892 507638298 644837838 676851064 859783784 1015276596 1289675676 1353702128 1719567568 2030553192 2579351352 2707404256 3439135136 3976500001 4061106384 5158702704 7953000002 8122212768 10317405408 11929500003 15906000004 23859000006 31812000008 47718000012 63624000016 95436000024 127248000032 190872000048 381744000096