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57171172512 = 2537949915107
BaseRepresentation
bin110101001111101010…
…101101110010100000
312110120100122110221210
4311033222231302200
51414041310010022
642133012350120
74062516643146
oct651752556240
9173510573853
1057171172512
1122278700103
12b0b6615340
13551167887c
142aa4cc7596
151749221a0c
hexd4faadca0

57171172512 has 96 divisors (see below), whose sum is σ = 152288640000. Its totient is φ = 18776878848.

The previous prime is 57171172511. The next prime is 57171172529. The reversal of 57171172512 is 21527117175.

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

It is not an unprimeable number, because it can be changed into a prime (57171172511) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 3776863 + ... + 3791969.

It is an arithmetic number, because the mean of its divisors is an integer number (1586340000).

Almost surely, 257171172512 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 57171172512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76144320000).

57171172512 is an abundant number, since it is smaller than the sum of its proper divisors (95117467488).

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

57171172512 is a wasteful number, since it uses less digits than its factorization.

57171172512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15698 (or 15690 counting only the distinct ones).

The product of its digits is 34300, while the sum is 39.

Adding to 57171172512 its reverse (21527117175), we get a palindrome (78698289687).

The spelling of 57171172512 in words is "fifty-seven billion, one hundred seventy-one million, one hundred seventy-two thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 79 96 158 237 316 474 499 632 948 998 1264 1497 1896 1996 2528 2994 3792 3992 5988 7584 7984 11976 15107 15968 23952 30214 39421 45321 47904 60428 78842 90642 118263 120856 157684 181284 236526 241712 315368 362568 473052 483424 630736 725136 946104 1193453 1261472 1450272 1892208 2386906 3580359 3784416 4773812 7160718 7538393 9547624 14321436 15076786 19095248 22615179 28642872 30153572 38190496 45230358 57285744 60307144 90460716 114571488 120614288 180921432 241228576 361842864 595533047 723685728 1191066094 1786599141 2382132188 3573198282 4764264376 7146396564 9528528752 14292793128 19057057504 28585586256 57171172512