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13341356460 = 22325264728001
BaseRepresentation
bin11000110110011010…
…01111000110101100
31021102210010010111100
430123031033012230
5204310341401320
610043503323100
7651416441655
oct143315170654
937383103440
1013341356460
115726936633
122703bb0490
13134801c883
14907c2652c
155313ce790
hex31b34f1ac

13341356460 has 72 divisors (see below), whose sum is σ = 40485515616. Its totient is φ = 3556224000.

The previous prime is 13341356453. The next prime is 13341356467. The reversal of 13341356460 is 6465314331.

13341356460 is a `hidden beast` number, since 1 + 3 + 3 + 4 + 1 + 3 + 5 + 646 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (13341356453) and next prime (13341356467).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (13341356467) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 462460 + ... + 490460.

It is an arithmetic number, because the mean of its divisors is an integer number (562298828).

Almost surely, 213341356460 is an apocalyptic number.

13341356460 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13341356460 is an abundant number, since it is smaller than the sum of its proper divisors (27144159156).

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

13341356460 is a wasteful number, since it uses less digits than its factorization.

13341356460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30663 (or 30658 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The spelling of 13341356460 in words is "thirteen billion, three hundred forty-one million, three hundred fifty-six thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 2647 5294 7941 10588 13235 15882 23823 26470 28001 31764 39705 47646 52940 56002 79410 84003 95292 112004 119115 140005 158820 168006 238230 252009 280010 336012 420015 476460 504018 560020 840030 1008036 1260045 1680060 2520090 5040180 74118647 148237294 222355941 296474588 370593235 444711882 667067823 741186470 889423764 1111779705 1334135646 1482372940 2223559410 2668271292 3335339115 4447118820 6670678230 13341356460