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81131407488 = 273357141113
BaseRepresentation
bin100101110001111001…
…1110000100010000000
321202102012001112022000
41023203303300202000
52312124120014423
6101134331344000
75601340404465
oct1134363604200
9252365045260
1081131407488
113145362329a
12138828b2000
13785c6612c1
143cd913166c
15219c9aa843
hex12e3cf0880

81131407488 has 128 divisors (see below), whose sum is σ = 239875521600. Its totient is φ = 26995783680.

The previous prime is 81131407421. The next prime is 81131407493. The reversal of 81131407488 is 88470413118.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1952820 + ... + 1993932.

Almost surely, 281131407488 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 81131407488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119937760800).

81131407488 is an abundant number, since it is smaller than the sum of its proper divisors (158744114112).

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

81131407488 is a wasteful number, since it uses less digits than its factorization.

81131407488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41707 (or 41689 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 45.

The spelling of 81131407488 in words is "eighty-one billion, one hundred thirty-one million, four hundred seven thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 288 384 432 571 576 864 1142 1152 1713 1728 2284 3426 3456 4568 5139 6852 9136 10278 13704 15417 18272 20556 27408 30834 36544 41112 41113 54816 61668 73088 82224 82226 109632 123336 123339 164448 164452 219264 246672 246678 328896 328904 370017 493344 493356 657792 657808 740034 986688 986712 1110051 1315616 1480068 1973376 1973424 2220102 2631232 2960136 3946848 4440204 5262464 5920272 7893696 8880408 11840544 15787392 17760816 23475523 23681088 35521632 46951046 47362176 70426569 71043264 93902092 140853138 142086528 187804184 211279707 281706276 375608368 422559414 563412552 633839121 751216736 845118828 1126825104 1267678242 1502433472 1690237656 2253650208 2535356484 3004866944 3380475312 4507300416 5070712968 6760950624 9014600832 10141425936 13521901248 20282851872 27043802496 40565703744 81131407488