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81835197056 = 274146733391
BaseRepresentation
bin100110000110111000…
…0100000001010000000
321211020020100202002022
41030031300200022000
52320044302301211
6101332232141012
75624644461224
oct1141560401200
9254206322068
1081835197056
1131784920868
1213a3a537768
1379423c9532
143d647b4784
1521de67abdb
hex130dc20280

81835197056 has 64 divisors (see below), whose sum is σ = 167370053760. Its totient is φ = 39832934400.

The previous prime is 81835197019. The next prime is 81835197079. The reversal of 81835197056 is 65079153818.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 81835196989 and 81835197007.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2434121 + ... + 2467511.

It is an arithmetic number, because the mean of its divisors is an integer number (2615157090).

Almost surely, 281835197056 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 81835197056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83685026880).

81835197056 is an abundant number, since it is smaller than the sum of its proper divisors (85534856704).

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

81835197056 is a wasteful number, since it uses less digits than its factorization.

81835197056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33913 (or 33901 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 53.

The spelling of 81835197056 in words is "eighty-one billion, eight hundred thirty-five million, one hundred ninety-seven thousand, fifty-six".

Divisors: 1 2 4 8 16 32 41 64 82 128 164 328 467 656 934 1312 1868 2624 3736 5248 7472 14944 19147 29888 33391 38294 59776 66782 76588 133564 153176 267128 306352 534256 612704 1068512 1225408 1369031 2137024 2450816 2738062 4274048 5476124 10952248 15593597 21904496 31187194 43808992 62374388 87617984 124748776 175235968 249497552 498995104 639337477 997990208 1278674954 1995980416 2557349908 5114699816 10229399632 20458799264 40917598528 81835197056