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81314602344 = 23324127545597
BaseRepresentation
bin100101110111010111…
…0100101110101101000
321202212221202210101200
41023232232211311220
52313013014233334
6101204434044200
75606023500333
oct1135656456550
9252787683350
1081314602344
1131537a782a8
1213914119660
13788b5b3421
143d155bb61a
1521adae5799
hex12eeba5d68

81314602344 has 48 divisors (see below), whose sum is σ = 225598447620. Its totient is φ = 26443772160.

The previous prime is 81314602337. The next prime is 81314602361. The reversal of 81314602344 is 44320641318.

81314602344 is a `hidden beast` number, since 8 + 1 + 3 + 1 + 4 + 602 + 3 + 44 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 58244030244 + 23070572100 = 241338^2 + 151890^2 .

It is a super-2 number, since 2×813146023442 (a number of 23 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 81314602299 and 81314602308.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13769847 + ... + 13775750.

Almost surely, 281314602344 is an apocalyptic number.

It is an amenable number.

81314602344 is an abundant number, since it is smaller than the sum of its proper divisors (144283845276).

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

81314602344 is a wasteful number, since it uses less digits than its factorization.

81314602344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27545650 (or 27545643 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 81314602344 in words is "eighty-one billion, three hundred fourteen million, six hundred two thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 41 72 82 123 164 246 328 369 492 738 984 1476 2952 27545597 55091194 82636791 110182388 165273582 220364776 247910373 330547164 495820746 661094328 991641492 1129369477 1983282984 2258738954 3388108431 4517477908 6776216862 9034955816 10164325293 13552433724 20328650586 27104867448 40657301172 81314602344