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57506252612055 = 35132209211084313
BaseRepresentation
bin11010001001101001101111…
…10000100110000111010111
321112121112200121201120000220
431010310313300212013113
530014140301132041210
6322150001401205423
715053455356040452
oct1504646760460727
9245545617646026
1057506252612055
11173612a0461905
12654911b790873
132611a7c6b0700
14102b46322c499
1569ad09d77c70
hex344d37c261d7

57506252612055 has 48 divisors (see below), whose sum is σ = 99636988895136. Its totient is φ = 28309391185920.

The previous prime is 57506252611993. The next prime is 57506252612089. The reversal of 57506252612055 is 55021625260575.

It is not a de Polignac number, because 57506252612055 - 217 = 57506252480983 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 57506252611989 and 57506252612007.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 52492579 + ... + 53576891.

It is an arithmetic number, because the mean of its divisors is an integer number (2075770601982).

Almost surely, 257506252612055 is an apocalyptic number.

57506252612055 is a deficient number, since it is larger than the sum of its proper divisors (42130736283081).

57506252612055 is a wasteful number, since it uses less digits than its factorization.

57506252612055 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1105268 (or 1105255 counting only the distinct ones).

The product of its (nonzero) digits is 6300000, while the sum is 51.

The spelling of 57506252612055 in words is "fifty-seven trillion, five hundred six billion, two hundred fifty-two million, six hundred twelve thousand, fifty-five".

Divisors: 1 3 5 13 15 39 65 169 195 507 845 2535 20921 62763 104605 271973 313815 815919 1084313 1359865 3252939 3535649 4079595 5421565 10606947 14096069 16264695 17678245 42288207 53034735 70480345 183248897 211441035 549746691 916244485 2748733455 22684912273 68054736819 113424561365 294903859549 340273684095 884711578647 1474519297745 3833750174137 4423557893235 11501250522411 19168750870685 57506252612055