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264443106141054 = 232101809179800067
BaseRepresentation
bin111100001000001001110101…
…011001111010001101111110
31021200022111212202002111110100
4330020021311121322031332
5234130113440133003204
62334231252540221530
7106462245455444121
oct7410116531721576
91250274782074410
10264443106141054
1177294767443185
12257aaa1923a8a6
13b472b549c1969
1449431867823b8
152088b8aa3aa39
hexf0827567a37e

264443106141054 has 48 divisors (see below), whose sum is σ = 579348183108240. Its totient is φ = 87167071996800.

The previous prime is 264443106141037. The next prime is 264443106141077. The reversal of 264443106141054 is 450141601344462.

It is a happy number.

264443106141054 is a `hidden beast` number, since 2 + 6 + 4 + 4 + 4 + 3 + 10 + 614 + 10 + 5 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 88429272 + ... + 91370795.

It is an arithmetic number, because the mean of its divisors is an integer number (12069753814755).

Almost surely, 2264443106141054 is an apocalyptic number.

264443106141054 is an abundant number, since it is smaller than the sum of its proper divisors (314905076967186).

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

264443106141054 is a wasteful number, since it uses less digits than its factorization.

264443106141054 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179800985 (or 179800982 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 45.

The spelling of 264443106141054 in words is "two hundred sixty-four trillion, four hundred forty-three billion, one hundred six million, one hundred forty-one thousand, fifty-four".

Divisors: 1 2 3 6 9 18 101 202 303 606 809 909 1618 1818 2427 4854 7281 14562 81709 163418 245127 490254 735381 1470762 179800067 359600134 539400201 1078800402 1618200603 3236401206 18159806767 36319613534 54479420301 108958840602 145458254203 163438260903 290916508406 326876521806 436374762609 872749525218 1309124287827 2618248575654 14691283674503 29382567349006 44073851023509 88147702047018 132221553070527 264443106141054