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10638983892 = 22341611073313
BaseRepresentation
bin10011110100010001…
…00000001011010100
31000110110010101020110
421322020200023110
5133242034441032
64515410203020
7524433604515
oct117210401324
930413111213
1010638983892
11456a47a079
12208ab83470
1310071b5254
1472cd76a0c
1542402b7cc
hex27a2202d4

10638983892 has 96 divisors (see below), whose sum is σ = 26096079744. Its totient is φ = 3370291200.

The previous prime is 10638983879. The next prime is 10638983909. The reversal of 10638983892 is 29838983601.

It is a super-2 number, since 2×106389838922 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3209628 + ... + 3212940.

It is an arithmetic number, because the mean of its divisors is an integer number (271834164).

Almost surely, 210638983892 is an apocalyptic number.

10638983892 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10638983892 is an abundant number, since it is smaller than the sum of its proper divisors (15457095852).

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

10638983892 is a wasteful number, since it uses less digits than its factorization.

10638983892 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3529 (or 3527 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 57.

The spelling of 10638983892 in words is "ten billion, six hundred thirty-eight million, nine hundred eighty-three thousand, eight hundred ninety-two".

Divisors: 1 2 3 4 6 12 41 61 82 107 122 123 164 183 214 244 246 321 366 428 492 642 732 1284 2501 3313 4387 5002 6527 6626 7503 8774 9939 10004 13054 13161 13252 15006 17548 19581 19878 26108 26322 30012 39162 39756 52644 78324 135833 202093 267607 271666 354491 404186 407499 535214 543332 606279 708982 802821 808372 814998 1063473 1070428 1212558 1417964 1605642 1629996 2126946 2425116 3211284 4253892 8285813 14534131 16571626 21623951 24857439 29068262 33143252 43247902 43602393 49714878 58136524 64871853 86495804 87204786 99429756 129743706 174409572 259487412 886581991 1773163982 2659745973 3546327964 5319491946 10638983892