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6434525346264 = 2332621431438109
BaseRepresentation
bin101110110100010011110…
…0110001111100111011000
3211210010122010122020022100
41131220213212033213120
51320410401442040024
621403551413123400
71232610352005321
oct135504746174730
924703563566270
106434525346264
1120609598a0474
1287b079629560
13378a087726c2
1418360b423448
15b259b9037c9
hex5da2798f9d8

6434525346264 has 48 divisors (see below), whose sum is σ = 17427132028800. Its totient is φ = 2144805776064.

The previous prime is 6434525346257. The next prime is 6434525346287. The reversal of 6434525346264 is 4626435254346.

6434525346264 is a `hidden beast` number, since 6 + 4 + 3 + 4 + 5 + 2 + 5 + 3 + 4 + 626 + 4 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 6434525346264.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3755242 + ... + 5193350.

It is an arithmetic number, because the mean of its divisors is an integer number (363065250600).

Almost surely, 26434525346264 is an apocalyptic number.

It is an amenable number.

6434525346264 is an abundant number, since it is smaller than the sum of its proper divisors (10992606682536).

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

6434525346264 is a wasteful number, since it uses less digits than its factorization.

6434525346264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1500264 (or 1500257 counting only the distinct ones).

The product of its digits is 49766400, while the sum is 54.

The spelling of 6434525346264 in words is "six trillion, four hundred thirty-four billion, five hundred twenty-five million, three hundred forty-six thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 62143 124286 186429 248572 372858 497144 559287 745716 1118574 1438109 1491432 2237148 2876218 4314327 4474296 5752436 8628654 11504872 12942981 17257308 25885962 34514616 51771924 103543848 89368407587 178736815174 268105222761 357473630348 536210445522 714947260696 804315668283 1072420891044 1608631336566 2144841782088 3217262673132 6434525346264