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57506252612080 = 2451956966490441
BaseRepresentation
bin11010001001101001101111…
…10000100110000111110000
321112121112200121201120001211
431010310313300212013300
530014140301132041310
6322150001401205504
715053455356040516
oct1504646760460760
9245545617646054
1057506252612080
11173612a0461928
12654911b790894
132611a7c6b071c
14102b46322c4b6
1569ad09d77c8a
hex344d37c261f0

57506252612080 has 80 divisors (see below), whose sum is σ = 140986333216800. Its totient is φ = 21753544273920.

The previous prime is 57506252611993. The next prime is 57506252612089. The reversal of 57506252612080 is 8021625260575.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57506252612089) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32380341 + ... + 34110100.

It is an arithmetic number, because the mean of its divisors is an integer number (1762329165210).

Almost surely, 257506252612080 is an apocalyptic number.

It is an amenable number.

57506252612080 is an abundant number, since it is smaller than the sum of its proper divisors (83480080604720).

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

57506252612080 is a wasteful number, since it uses less digits than its factorization.

57506252612080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66491042 (or 66491036 counting only the distinct ones).

The product of its (nonzero) digits is 2016000, while the sum is 49.

The spelling of 57506252612080 in words is "fifty-seven trillion, five hundred six billion, two hundred fifty-two million, six hundred twelve thousand, eighty".

Divisors: 1 2 4 5 8 10 16 19 20 38 40 76 80 95 152 190 304 380 569 760 1138 1520 2276 2845 4552 5690 9104 10811 11380 21622 22760 43244 45520 54055 86488 108110 172976 216220 432440 864880 66490441 132980882 265961764 332452205 531923528 664904410 1063847056 1263318379 1329808820 2526636758 2659617640 5053273516 5319235280 6316591895 10106547032 12633183790 20213094064 25266367580 37833060929 50532735160 75666121858 101065470320 151332243716 189165304645 302664487432 378330609290 605328974864 718828157651 756661218580 1437656315302 1513322437160 2875312630604 3026644874320 3594140788255 5750625261208 7188281576510 11501250522416 14376563153020 28753126306040 57506252612080