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13656348269730 = 2325151737202997
BaseRepresentation
bin1100011010111001110111…
…0010011001110010100010
31210100112102101120021022200
43012232131302121302202
53242221200124112410
645013350105514030
72606432020010235
oct306563562316242
953315371507280
1013656348269730
11439569663a351
1216468374a2916
13780a3264cb5a
14352d83b8541c
1518a3763783c0
hexc6b9dc99ca2

13656348269730 has 24 divisors (see below), whose sum is σ = 35506505501532. Its totient is φ = 3641692871904.

The previous prime is 13656348269713. The next prime is 13656348269743. The reversal of 13656348269730 is 3796284365631.

13656348269730 is a `hidden beast` number, since 1 + 3 + 6 + 5 + 63 + 482 + 6 + 97 + 3 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 13393865216169 + 262483053561 = 3659763^2 + 512331^2 .

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

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 11 ways as a sum of consecutive naturals, for example, 75868601409 + ... + 75868601588.

It is a 1-persistent number, because it is pandigital, but 2⋅13656348269730 = 27312696539460 is not.

Almost surely, 213656348269730 is an apocalyptic number.

13656348269730 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13656348269730 is an abundant number, since it is smaller than the sum of its proper divisors (21850157231802).

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

13656348269730 is a wasteful number, since it uses less digits than its factorization.

13656348269730 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151737203010 (or 151737203007 counting only the distinct ones).

The product of its (nonzero) digits is 117573120, while the sum is 63.

The spelling of 13656348269730 in words is "thirteen trillion, six hundred fifty-six billion, three hundred forty-eight million, two hundred sixty-nine thousand, seven hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 151737202997 303474405994 455211608991 758686014985 910423217982 1365634826973 1517372029970 2276058044955 2731269653946 4552116089910 6828174134865 13656348269730