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45648544584654 = 232111621142225913
BaseRepresentation
bin10100110000100011000010…
…10010001101001111001110
312222121221212120002121022200
422120101201102031033032
521440401204403202104
6241030352450022330
712420666326603214
oct1230214122151716
9188557776077280
1045648544584654
11135aa4913aa080
125152bb12779a6
131c6184067721b
14b3b58941acb4
15542653eb1b39
hex29846148d3ce

45648544584654 has 48 divisors (see below), whose sum is σ = 107963122413744. Its totient is φ = 13824358646400.

The previous prime is 45648544584607. The next prime is 45648544584691.

45648544584654 is a `hidden beast` number, since 4 + 5 + 6 + 4 + 85 + 4 + 458 + 46 + 54 = 666.

45648544584654 is nontrivially palindromic in base 10.

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, 70791999 + ... + 71433914.

It is an arithmetic number, because the mean of its divisors is an integer number (2249231716953).

Almost surely, 245648544584654 is an apocalyptic number.

45648544584654 is an abundant number, since it is smaller than the sum of its proper divisors (62314577829090).

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

45648544584654 is a wasteful number, since it uses less digits than its factorization.

45648544584654 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142227553 (or 142227550 counting only the distinct ones).

The product of its digits is 5898240000, while the sum is 72.

The spelling of 45648544584654 in words is "forty-five trillion, six hundred forty-eight billion, five hundred forty-four million, five hundred eighty-four thousand, six hundred fifty-four".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 1621 3242 4863 9726 14589 17831 29178 35662 53493 106986 160479 320958 142225913 284451826 426677739 853355478 1280033217 1564485043 2560066434 3128970086 4693455129 9386910258 14080365387 28160730774 230548204973 461096409946 691644614919 1383289229838 2074933844757 2536030254703 4149867689514 5072060509406 7608090764109 15216181528218 22824272292327 45648544584654