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1348514818464 = 253111277002669
BaseRepresentation
bin10011100111111001101…
…111110010100110100000
311202220202022112120210110
4103213321233302212200
5134043224243142324
62511255452331320
7166266311554662
oct23477157624640
94686668476713
101348514818464
1147a9a1506390
12199426a73b40
139a21a262a08
14493a8952532
15251281eb329
hex139f9bf29a0

1348514818464 has 48 divisors (see below), whose sum is σ = 3861656074080. Its totient is φ = 408640853760.

The previous prime is 1348514818393. The next prime is 1348514818471. The reversal of 1348514818464 is 4648184158431.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 638500279 + ... + 638502390.

It is an arithmetic number, because the mean of its divisors is an integer number (80451168210).

Almost surely, 21348514818464 is an apocalyptic number.

It is an amenable number.

1348514818464 is an abundant number, since it is smaller than the sum of its proper divisors (2513141255616).

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

1348514818464 is a wasteful number, since it uses less digits than its factorization.

1348514818464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1277002693 (or 1277002685 counting only the distinct ones).

The product of its digits is 11796480, while the sum is 57.

The spelling of 1348514818464 in words is "one trillion, three hundred forty-eight billion, five hundred fourteen million, eight hundred eighteen thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 1056 1277002669 2554005338 3831008007 5108010676 7662016014 10216021352 14047029359 15324032028 20432042704 28094058718 30648064056 40864085408 42141088077 56188117436 61296128112 84282176154 112376234872 122592256224 168564352308 224752469744 337128704616 449504939488 674257409232 1348514818464