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10057428096 = 2731012111229
BaseRepresentation
bin10010101110111100…
…00010110010000000
3221221220211021122220
421113132002302000
5131044200144341
64341553331040
7504142504542
oct112736026200
927856737586
1010057428096
1142a1179651
121b48266a80
13c438768b1
146b5a31692
153dce53a66
hex257782c80

10057428096 has 128 divisors (see below), whose sum is σ = 27129470400. Its totient is φ = 3300864000.

The previous prime is 10057428083. The next prime is 10057428103. The reversal of 10057428096 is 69082475001.

It is a tau number, because it is divible by the number of its divisors (128).

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, 8182810 + ... + 8184038.

Almost surely, 210057428096 is an apocalyptic number.

10057428096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10057428096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13564735200).

10057428096 is an abundant number, since it is smaller than the sum of its proper divisors (17072042304).

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

10057428096 is a wasteful number, since it uses less digits than its factorization.

10057428096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1558 (or 1546 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 42.

The spelling of 10057428096 in words is "ten billion, fifty-seven million, four hundred twenty-eight thousand, ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 101 128 192 202 211 303 384 404 422 606 633 808 844 1212 1229 1266 1616 1688 2424 2458 2532 3232 3376 3687 4848 4916 5064 6464 6752 7374 9696 9832 10128 12928 13504 14748 19392 19664 20256 21311 27008 29496 38784 39328 40512 42622 58992 63933 78656 81024 85244 117984 124129 127866 157312 170488 235968 248258 255732 259319 340976 372387 471936 496516 511464 518638 681952 744774 777957 993032 1022928 1037276 1363904 1489548 1555914 1986064 2045856 2074552 2727808 2979096 3111828 3972128 4091712 4149104 5958192 6223656 7944256 8183424 8298208 11916384 12447312 15888512 16596416 23832768 24894624 26191219 33192832 47665536 49789248 52382438 78573657 99578496 104764876 157147314 209529752 314294628 419059504 628589256 838119008 1257178512 1676238016 2514357024 3352476032 5028714048 10057428096