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57089978505 = 3257371948733
BaseRepresentation
bin110101001010110100…
…111111000010001001
312110100200212101201100
4311022310333002021
51413410013303010
642120552212013
74060512545010
oct651264770211
9173320771640
1057089978505
112223689391a
12b09339a009
1354ca8bab91
142a981cda77
1517420342c0
hexd4ad3f089

57089978505 has 48 divisors (see below), whose sum is σ = 113125259520. Its totient is φ = 26090722944.

The previous prime is 57089978503. The next prime is 57089978531. The reversal of 57089978505 is 50587998075.

57089978505 is a `hidden beast` number, since 57 + 0 + 8 + 9 + 9 + 78 + 505 = 666.

57089978505 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 57089978505 - 21 = 57089978503 is a prime.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (57089978503) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1147119 + ... + 1195851.

It is an arithmetic number, because the mean of its divisors is an integer number (2356776240).

Almost surely, 257089978505 is an apocalyptic number.

It is an amenable number.

57089978505 is a deficient number, since it is larger than the sum of its proper divisors (56035281015).

57089978505 is a wasteful number, since it uses less digits than its factorization.

57089978505 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52470 (or 52467 counting only the distinct ones).

The product of its (nonzero) digits is 31752000, while the sum is 63.

The spelling of 57089978505 in words is "fifty-seven billion, eighty-nine million, nine hundred seventy-eight thousand, five hundred five".

Divisors: 1 3 5 7 9 15 21 35 45 63 105 315 3719 11157 18595 26033 33471 48733 55785 78099 130165 146199 167355 234297 243665 341131 390495 438597 730995 1023393 1171485 1705655 2192985 3070179 5116965 15350895 181238027 543714081 906190135 1268666189 1631142243 2718570405 3805998567 6343330945 8155711215 11417995701 19029992835 57089978505