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13764136456 = 237237948989
BaseRepresentation
bin11001101000110100…
…00000111000001000
31022112020122120121201
430310122000320020
5211142104331311
610153445113544
7665042141500
oct146432007010
938466576551
1013764136456
115923550494
1228016b88b4
1313b47a8a55
1494803aa00
155585929c1
hex334680e08

13764136456 has 48 divisors (see below), whose sum is σ = 30832685100. Its totient is φ = 5739479424.

The previous prime is 13764136433. The next prime is 13764136457. The reversal of 13764136456 is 65463146731.

It can be written as a sum of positive squares in 2 ways, for example, as 13518712900 + 245423556 = 116270^2 + 15666^2 .

It is not an unprimeable number, because it can be changed into a prime (13764136457) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 459991 + ... + 488998.

Almost surely, 213764136456 is an apocalyptic number.

It is an amenable number.

13764136456 is an abundant number, since it is smaller than the sum of its proper divisors (17068548644).

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

13764136456 is a wasteful number, since it uses less digits than its factorization.

13764136456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 949046 (or 949035 counting only the distinct ones).

The product of its digits is 1088640, while the sum is 46.

The spelling of 13764136456 in words is "thirteen billion, seven hundred sixty-four million, one hundred thirty-six thousand, four hundred fifty-six".

Divisors: 1 2 4 7 8 14 28 37 49 56 74 98 148 196 259 296 392 518 1036 1813 2072 3626 7252 14504 948989 1897978 3795956 6642923 7591912 13285846 26571692 35112593 46500461 53143384 70225186 93000922 140450372 186001844 245788151 280900744 372003688 491576302 983152604 1720517057 1966305208 3441034114 6882068228 13764136456