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81104197632 = 211323095717
BaseRepresentation
bin100101110001000101…
…1111101100000000000
321202100021212010101120
41023202023331200000
52312100133311012
6101131520232240
75600560206453
oct1134213754000
9252307763346
1081104197632
113143a229107
121387576b680
137856b252b3
143cd568b49a
15219a3d358c
hex12e22fd800

81104197632 has 96 divisors (see below), whose sum is σ = 216356540400. Its totient is φ = 27018297344.

The previous prime is 81104197597. The next prime is 81104197661. The reversal of 81104197632 is 23679140118.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

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, 14183638 + ... + 14189354.

Almost surely, 281104197632 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 81104197632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108178270200).

81104197632 is an abundant number, since it is smaller than the sum of its proper divisors (135252342768).

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

81104197632 is a wasteful number, since it uses less digits than its factorization.

81104197632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8051 (or 8031 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 42.

The spelling of 81104197632 in words is "eighty-one billion, one hundred four million, one hundred ninety-seven thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1024 1536 2048 2309 3072 4618 5717 6144 6927 9236 11434 13854 17151 18472 22868 27708 34302 36944 45736 55416 68604 73888 91472 110832 137208 147776 182944 221664 274416 295552 365888 443328 548832 591104 731776 886656 1097664 1182208 1463552 1773312 2195328 2364416 2927104 3546624 4390656 4728832 5854208 7093248 8781312 11708416 13200553 14186496 17562624 26401106 35125248 39601659 52802212 79203318 105604424 158406636 211208848 316813272 422417696 633626544 844835392 1267253088 1689670784 2534506176 3379341568 5069012352 6758683136 10138024704 13517366272 20276049408 27034732544 40552098816 81104197632