Search a number
-
+
457642288104 = 233196714979127
BaseRepresentation
bin1101010100011011001…
…10110010001111101000
31121202020212201000001020
412222031212302033220
524444222411204404
6550123222252440
745030542160051
oct6521546621750
91552225630036
10457642288104
111670a3160631
127483b587120
1334203797a21
1418215883728
15bd87179ed9
hex6a8d9b23e8

457642288104 has 64 divisors (see below), whose sum is σ = 1222296844800. Its totient is φ = 142361613504.

The previous prime is 457642288097. The next prime is 457642288127. The reversal of 457642288104 is 401882246754.

It is a super-2 number, since 2×4576422881042 (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7459012 + ... + 7520115.

It is an arithmetic number, because the mean of its divisors is an integer number (19098388200).

Almost surely, 2457642288104 is an apocalyptic number.

It is an amenable number.

457642288104 is an abundant number, since it is smaller than the sum of its proper divisors (764654556696).

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

457642288104 is a wasteful number, since it uses less digits than its factorization.

457642288104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14979222 (or 14979218 counting only the distinct ones).

The product of its (nonzero) digits is 3440640, while the sum is 51.

The spelling of 457642288104 in words is "four hundred fifty-seven billion, six hundred forty-two million, two hundred eighty-eight thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 67 76 114 134 152 201 228 268 402 456 536 804 1273 1608 2546 3819 5092 7638 10184 15276 30552 14979127 29958254 44937381 59916508 89874762 119833016 179749524 284603413 359499048 569206826 853810239 1003601509 1138413652 1707620478 2007203018 2276827304 3010804527 3415240956 4014406036 6021609054 6830481912 8028812072 12043218108 19068428671 24086436216 38136857342 57205286013 76273714684 114410572026 152547429368 228821144052 457642288104