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81648060876 = 223237509120427
BaseRepresentation
bin100110000001010011…
…0101000100111001100
321210202012020020111200
41030002212220213030
52314203400422001
6101301505145500
75620213031544
oct1140246504714
9253665206450
1081648060876
1131699224668
12139a792b290
1379126c7475
143d479c0324
1521cd013086
hex13029a89cc

81648060876 has 72 divisors (see below), whose sum is σ = 212384412240. Its totient is φ = 26428208256.

The previous prime is 81648060863. The next prime is 81648060877. The reversal of 81648060876 is 67806084618.

81648060876 is a `hidden beast` number, since 81 + 6 + 480 + 6 + 0 + 87 + 6 = 666.

It is a super-2 number, since 2×816480608762 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (81648060877) 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, 617775 + ... + 738201.

Almost surely, 281648060876 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 81648060876, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106192206120).

81648060876 is an abundant number, since it is smaller than the sum of its proper divisors (130736351364).

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

81648060876 is a wasteful number, since it uses less digits than its factorization.

81648060876 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120983 (or 120978 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The spelling of 81648060876 in words is "eighty-one billion, six hundred forty-eight million, sixty thousand, eight hundred seventy-six".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 111 148 222 333 444 509 666 1018 1332 1527 2036 3054 4581 6108 9162 18324 18833 37666 56499 75332 112998 120427 169497 225996 240854 338994 361281 481708 677988 722562 1083843 1445124 2167686 4335372 4455799 8911598 13367397 17823196 26734794 40102191 53469588 61297343 80204382 122594686 160408764 183892029 245189372 367784058 551676087 735568116 1103352174 2206704348 2268001691 4536003382 6804005073 9072006764 13608010146 20412015219 27216020292 40824030438 81648060876