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81520643600 = 245211172310753
BaseRepresentation
bin100101111101100000…
…0100100111000010000
321210102022110202212022
41023323000210320100
52313423241043400
6101241114151012
75614105015604
oct1137300447020
9253368422768
1081520643600
1131633307130
1213971122468
1378c21a4426
143d34ad3504
1521c1c44b85
hex12fb024e10

81520643600 has 120 divisors (see below), whose sum is σ = 213802080672. Its totient is φ = 29623910400.

The previous prime is 81520643587. The next prime is 81520643639. The reversal of 81520643600 is 634602518.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7575824 + ... + 7586576.

Almost surely, 281520643600 is an apocalyptic number.

81520643600 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 81520643600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106901040336).

81520643600 is an abundant number, since it is smaller than the sum of its proper divisors (132281437072).

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

81520643600 is a wasteful number, since it uses less digits than its factorization.

81520643600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12505 (or 12494 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 35.

The spelling of 81520643600 in words is "eighty-one billion, five hundred twenty million, six hundred forty-three thousand, six hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 176 200 220 275 400 440 550 880 1100 1723 2200 3446 4400 6892 8615 10753 13784 17230 18953 21506 27568 34460 37906 43012 43075 53765 68920 75812 86024 86150 94765 107530 118283 137840 151624 172048 172300 189530 215060 236566 268825 303248 344600 379060 430120 473132 473825 537650 591415 689200 758120 860240 946264 947650 1075300 1182830 1516240 1892528 1895300 2150600 2365660 2957075 3790600 4301200 4731320 5914150 7581200 9462640 11828300 18527419 23656600 37054838 47313200 74109676 92637095 148219352 185274190 203801609 296438704 370548380 407603218 463185475 741096760 815206436 926370950 1019008045 1482193520 1630412872 1852741900 2038016090 3260825744 3705483800 4076032180 5095040225 7410967600 8152064360 10190080450 16304128720 20380160900 40760321800 81520643600