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81067954432 = 281916532539
BaseRepresentation
bin100101110000000000…
…1101101000100000000
321202020202122210001211
41023200001231010000
52312011344020212
6101124143335504
75566640146243
oct1134001550400
9252222583054
1081067954432
1131420824053
12138655b1594
13784c47570a
143cd093525a
1521971249a7
hex12e006d100

81067954432 has 72 divisors (see below), whose sum is σ = 162979729920. Its totient is φ = 40244152320.

The previous prime is 81067954343. The next prime is 81067954459. The reversal of 81067954432 is 23445976018.

It is a happy number.

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, 31927819 + ... + 31930357.

It is an arithmetic number, because the mean of its divisors is an integer number (2263607360).

It is a 1-persistent number, because it is pandigital, but 2⋅81067954432 = 162135908864 is not.

Almost surely, 281067954432 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 81067954432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81489864960).

81067954432 is an abundant number, since it is smaller than the sum of its proper divisors (81911775488).

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

81067954432 is a wasteful number, since it uses less digits than its factorization.

81067954432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3399 (or 3385 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 49.

The spelling of 81067954432 in words is "eighty-one billion, sixty-seven million, nine hundred fifty-four thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 32 64 128 191 256 382 653 764 1306 1528 2539 2612 3056 5078 5224 6112 10156 10448 12224 20312 20896 24448 40624 41792 48896 81248 83584 124723 162496 167168 249446 324992 484949 498892 649984 969898 997784 1657967 1939796 1995568 3315934 3879592 3991136 6631868 7759184 7982272 13263736 15518368 15964544 26527472 31036736 31929088 53054944 62073472 106109888 124146944 212219776 316671697 424439552 633343394 1266686788 2533373576 5066747152 10133494304 20266988608 40533977216 81067954432