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11676682952 = 2311231616379
BaseRepresentation
bin10101101111111110…
…00000101011001000
31010010202201221201222
422313333000223020
5142403212323302
65210355501212
7562234111304
oct126777005310
933122657658
1011676682952
114a52201800
12231a5b7808
13114119186c
147caad8d04
154851a7da2
hex2b7fc0ac8

11676682952 has 96 divisors (see below), whose sum is σ = 25252550400. Its totient is φ = 5051376000.

The previous prime is 11676682943. The next prime is 11676682967. The reversal of 11676682952 is 25928667611.

It is a junction number, because it is equal to n+sod(n) for n = 11676682894 and 11676682903.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1827299 + ... + 1833677.

It is an arithmetic number, because the mean of its divisors is an integer number (263047400).

Almost surely, 211676682952 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11676682952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12626275200).

11676682952 is an abundant number, since it is smaller than the sum of its proper divisors (13575867448).

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

11676682952 is a wasteful number, since it uses less digits than its factorization.

11676682952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6499 (or 6484 counting only the distinct ones).

The product of its digits is 2177280, while the sum is 53.

The spelling of 11676682952 in words is "eleven billion, six hundred seventy-six million, six hundred eighty-two thousand, nine hundred fifty-two".

Divisors: 1 2 4 8 11 22 31 44 61 62 88 121 122 124 242 244 248 341 484 488 671 682 968 1342 1364 1891 2684 2728 3751 3782 5368 6379 7381 7502 7564 12758 14762 15004 15128 20801 25516 29524 30008 41602 51032 59048 70169 83204 140338 166408 197749 228811 280676 389119 395498 457622 561352 771859 778238 790996 915244 1543718 1556476 1581992 1830488 2175239 3087436 3112952 4280309 4350478 6174872 8560618 8700956 12062689 17121236 17401912 23927629 24125378 34242472 47083399 47855258 48250756 94166798 95710516 96501512 132689579 188333596 191421032 265379158 376667192 530758316 1061516632 1459585369 2919170738 5838341476 11676682952