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49576668160 = 210531312353
BaseRepresentation
bin101110001010111111…
…111110110000000000
311201222002020200111211
4232022333332300000
51303013111340120
634435240015504
73403361504065
oct561277766000
9151862220454
1049576668160
111a030811628
129737161594
1348a114c606
142584414c6c
15145262325a
hexb8affec00

49576668160 has 88 divisors (see below), whose sum is σ = 122762618496. Its totient is φ = 19190906880.

The previous prime is 49576668151. The next prime is 49576668179. The reversal of 49576668160 is 6186667594.

It is a junction number, because it is equal to n+sod(n) for n = 49576668095 and 49576668104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2544 + ... + 314896.

Almost surely, 249576668160 is an apocalyptic number.

49576668160 is a gapful number since it is divisible by the number (40) 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 49576668160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61381309248).

49576668160 is an abundant number, since it is smaller than the sum of its proper divisors (73185950336).

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

49576668160 is a wasteful number, since it uses less digits than its factorization.

49576668160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312409 (or 312391 counting only the distinct ones).

The product of its (nonzero) digits is 13063680, while the sum is 58.

The spelling of 49576668160 in words is "forty-nine billion, five hundred seventy-six million, six hundred sixty-eight thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 62 64 80 124 128 155 160 248 256 310 320 496 512 620 640 992 1024 1240 1280 1984 2480 2560 3968 4960 5120 7936 9920 15872 19840 31744 39680 79360 158720 312353 624706 1249412 1561765 2498824 3123530 4997648 6247060 9682943 9995296 12494120 19365886 19990592 24988240 38731772 39981184 48414715 49976480 77463544 79962368 96829430 99952960 154927088 159924736 193658860 199905920 309854176 319849472 387317720 399811840 619708352 774635440 799623680 1239416704 1549270880 1599247360 2478833408 3098541760 4957666816 6197083520 9915333632 12394167040 24788334080 49576668160