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57379450460191 = 8910927156338767
BaseRepresentation
bin11010000101111101100011…
…10000110001100000011111
321112011102101120002211100221
431002332301300301200133
530010101103304211231
6322011431115102211
715041346162401506
oct1502766160614037
9245142346084327
1057379450460191
11173125409a6382
126528631a41967
132602b221a3112
14102527474b83d
15697887b39d11
hex342fb1c3181f

57379450460191 has 32 divisors (see below), whose sum is σ = 58878481305600. Its totient is φ = 55905881391360.

The previous prime is 57379450460183. The next prime is 57379450460197. The reversal of 57379450460191 is 19106405497375.

57379450460191 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 57379450460191 - 23 = 57379450460183 is a prime.

It is a super-2 number, since 2×573794504601912 (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57379450460197) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1480091290 + ... + 1480130056.

It is an arithmetic number, because the mean of its divisors is an integer number (1839952540800).

Almost surely, 257379450460191 is an apocalyptic number.

57379450460191 is a deficient number, since it is larger than the sum of its proper divisors (1499030845409).

57379450460191 is a wasteful number, since it uses less digits than its factorization.

57379450460191 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39799.

The product of its (nonzero) digits is 28576800, while the sum is 61.

The spelling of 57379450460191 in words is "fifty-seven trillion, three hundred seventy-nine billion, four hundred fifty million, four hundred sixty thousand, one hundred ninety-one".

Divisors: 1 89 109 271 563 9701 24119 29539 38767 50107 61367 152573 2628971 3450263 4225603 5461663 10505857 13578997 16630457 21825821 376078667 935021273 1145138413 1480110673 1942498069 2379014489 5914797491 101917318757 211732289521 526416976699 644712926519 57379450460191