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81259473792 = 273724318637
BaseRepresentation
bin100101110101101110…
…0010010101110000000
321202202010000222020110
41023223130102232000
52312404411130132
6101155144311320
75604454062600
oct1135334225600
9252663028213
1081259473792
1131509944412
12138b9772540
137880050893
143d0c14ac00
1521a8d561cc
hex12eb712b80

81259473792 has 96 divisors (see below), whose sum is σ = 251085613320. Its totient is φ = 23216987136.

The previous prime is 81259473749. The next prime is 81259473853. The reversal of 81259473792 is 29737495218.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2140503 + ... + 2178134.

Almost surely, 281259473792 is an apocalyptic number.

It is an amenable number.

81259473792 is an abundant number, since it is smaller than the sum of its proper divisors (169826139528).

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

81259473792 is a wasteful number, since it uses less digits than its factorization.

81259473792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4318668 (or 4318649 counting only the distinct ones).

The product of its digits is 7620480, while the sum is 57.

The spelling of 81259473792 in words is "eighty-one billion, two hundred fifty-nine million, four hundred seventy-three thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 64 84 96 98 112 128 147 168 192 196 224 294 336 384 392 448 588 672 784 896 1176 1344 1568 2352 2688 3136 4704 6272 9408 18816 4318637 8637274 12955911 17274548 25911822 30230459 34549096 51823644 60460918 69098192 90691377 103647288 120921836 138196384 181382754 207294576 211613213 241843672 276392768 362765508 414589152 423226426 483687344 552785536 634839639 725531016 829178304 846452852 967374688 1269679278 1451062032 1658356608 1692905704 1934749376 2539358556 2902124064 3385811408 3869498752 5078717112 5804248128 6771622816 10157434224 11608496256 13543245632 20314868448 27086491264 40629736896 81259473792