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57516112122126 = 2373109256399783
BaseRepresentation
bin11010001001111100000110…
…11011101001000100001110
321112122111010202010120012120
431010332003123221010032
530014320444200402001
6322154312004513410
715054254606352000
oct1504760333510416
9245574122116176
1057516112122126
111736549a93a739
12654b0116ab866
13261299124b838
14102bb1a860370
1569b1d5734236
hex344f836e910e

57516112122126 has 64 divisors (see below), whose sum is σ = 135379085952000. Its totient is φ = 16282411756128.

The previous prime is 57516112122101. The next prime is 57516112122137. The reversal of 57516112122126 is 62122121161575.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 127975570 + ... + 128424213.

It is an arithmetic number, because the mean of its divisors is an integer number (2115298218000).

Almost surely, 257516112122126 is an apocalyptic number.

57516112122126 is an abundant number, since it is smaller than the sum of its proper divisors (77862973829874).

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

57516112122126 is a wasteful number, since it uses less digits than its factorization.

57516112122126 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256399918 (or 256399904 counting only the distinct ones).

The product of its digits is 100800, while the sum is 42.

The spelling of 57516112122126 in words is "fifty-seven trillion, five hundred sixteen billion, one hundred twelve million, one hundred twenty-two thousand, one hundred twenty-six".

Divisors: 1 2 3 6 7 14 21 42 49 98 109 147 218 294 327 343 654 686 763 1029 1526 2058 2289 4578 5341 10682 16023 32046 37387 74774 112161 224322 256399783 512799566 769199349 1538398698 1794798481 3589596962 5384395443 10768790886 12563589367 25127178734 27947576347 37690768101 55895152694 75381536202 83842729041 87945125569 167685458082 175890251138 195633034429 263835376707 391266068858 527670753414 586899103287 1173798206574 1369431241003 2738862482006 4108293723009 8216587446018 9586018687021 19172037374042 28758056061063 57516112122126