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13272954768 = 243292173297
BaseRepresentation
bin11000101110010000…
…10011011110010000
31021021000101222000100
430113020103132100
5204140334023033
610033021252400
7646626153063
oct142710233620
937230358010
1013272954768
1156a1267407
1226a5104100
131336ac06b8
148dcadc8da
1552a3bc513
hex317213790

13272954768 has 30 divisors (see below), whose sum is σ = 37145839094. Its totient is φ = 4424318208.

The previous prime is 13272954767. The next prime is 13272954769. The reversal of 13272954768 is 86745927231.

It is a happy number.

13272954768 is a `hidden beast` number, since 1 + 32 + 7 + 2 + 9 + 547 + 68 = 666.

It is an interprime number because it is at equal distance from previous prime (13272954767) and next prime (13272954769).

It can be written as a sum of positive squares in only one way, i.e., 10839308544 + 2433646224 = 104112^2 + 49332^2 .

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 not an unprimeable number, because it can be changed into a prime (13272954763) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 46086505 + ... + 46086792.

Almost surely, 213272954768 is an apocalyptic number.

13272954768 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

13272954768 is an abundant number, since it is smaller than the sum of its proper divisors (23872884326).

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

13272954768 is a wasteful number, since it uses less digits than its factorization.

13272954768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92173311 (or 92173302 counting only the distinct ones).

The product of its digits is 5080320, while the sum is 54.

The spelling of 13272954768 in words is "thirteen billion, two hundred seventy-two million, nine hundred fifty-four thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 92173297 184346594 276519891 368693188 553039782 737386376 829559673 1106079564 1474772752 1659119346 2212159128 3318238692 4424318256 6636477384 13272954768