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81012864 = 2731131867
BaseRepresentation
bin1001101010000…
…10100010000000
312122102212202110
410311002202000
5131214402424
612012215320
72002412052
oct465024200
9178385673
1081012864
1141803189
122316a540
1313a2640a
14aa8b8d2
1571a3c29
hex4d42880

81012864 has 64 divisors (see below), whose sum is σ = 217211040. Its totient is φ = 26750976.

The previous prime is 81012853. The next prime is 81012881. The reversal of 81012864 is 46821018.

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

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 42459 + ... + 44325.

Almost surely, 281012864 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 81012864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108605520).

81012864 is an abundant number, since it is smaller than the sum of its proper divisors (136198176).

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

81012864 is a wasteful number, since it uses less digits than its factorization.

81012864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1997 (or 1985 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 30.

The square root of 81012864 is about 9000.7146382940. The cubic root of 81012864 is about 432.6977749396.

The spelling of 81012864 in words is "eighty-one million, twelve thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 113 128 192 226 339 384 452 678 904 1356 1808 1867 2712 3616 3734 5424 5601 7232 7468 10848 11202 14464 14936 21696 22404 29872 43392 44808 59744 89616 119488 179232 210971 238976 358464 421942 632913 716928 843884 1265826 1687768 2531652 3375536 5063304 6751072 10126608 13502144 20253216 27004288 40506432 81012864