Search a number
-
+
57377212542 = 23313197414893
BaseRepresentation
bin110101011011111100…
…101100100001111110
312111002201100101202000
4311123330230201332
51420002031300132
642205252443130
74100601155016
oct653374544176
9174081311660
1057377212542
1122373a39021
12b1536194a6
135545269150
142ac43dcc46
15175c37087c
hexd5bf2c87e

57377212542 has 64 divisors (see below), whose sum is σ = 138010340160. Its totient is φ = 17564867712.

The previous prime is 57377212537. The next prime is 57377212547. The reversal of 57377212542 is 24521277375.

57377212542 is a `hidden beast` number, since 5 + 7 + 37 + 72 + 1 + 2 + 542 = 666.

It is an interprime number because it is at equal distance from previous prime (57377212537) and next prime (57377212547).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57377212547) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 69153 + ... + 345740.

It is an arithmetic number, because the mean of its divisors is an integer number (2156411565).

Almost surely, 257377212542 is an apocalyptic number.

57377212542 is an abundant number, since it is smaller than the sum of its proper divisors (80633127618).

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

57377212542 is a wasteful number, since it uses less digits than its factorization.

57377212542 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 415114 (or 415108 counting only the distinct ones).

The product of its digits is 823200, while the sum is 45.

The spelling of 57377212542 in words is "fifty-seven billion, three hundred seventy-seven million, two hundred twelve thousand, five hundred forty-two".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 117 197 234 351 394 591 702 1182 1773 2561 3546 5122 5319 7683 10638 15366 23049 46098 69147 138294 414893 829786 1244679 2489358 3734037 5393609 7468074 10787218 11202111 16180827 22404222 32361654 48542481 81733921 97084962 145627443 163467842 245201763 291254886 490403526 735605289 1062540973 1471210578 2125081946 2206815867 3187622919 4413631734 6375245838 9562868757 19125737514 28688606271 57377212542