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81633986896 = 247113110121163
BaseRepresentation
bin100110000000111000…
…0111100100101010000
321210201012202012122011
41030001300330211100
52314141300040041
6101300243352304
75616652303540
oct1140160744520
9253635665564
1081633986896
1131691291680
12139a3082694
13790c80a477
143d45b99320
1521cbb82e81
hex1301c3c950

81633986896 has 160 divisors (see below), whose sum is σ = 205579984896. Its totient is φ = 30473280000.

The previous prime is 81633986869. The next prime is 81633986909. The reversal of 81633986896 is 69868933618.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3846811 + ... + 3867973.

Almost surely, 281633986896 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 81633986896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102789992448).

81633986896 is an abundant number, since it is smaller than the sum of its proper divisors (123945998000).

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

81633986896 is a wasteful number, since it uses less digits than its factorization.

81633986896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21321 (or 21315 counting only the distinct ones).

The product of its digits is 80621568, while the sum is 67.

The spelling of 81633986896 in words is "eighty-one billion, six hundred thirty-three million, nine hundred eighty-six thousand, eight hundred ninety-six".

Divisors: 1 2 4 7 8 11 14 16 22 28 31 44 56 62 77 88 101 112 124 154 176 202 217 248 308 341 404 434 496 616 682 707 808 868 1111 1232 1364 1414 1616 1736 2222 2387 2728 2828 3131 3472 4444 4774 5456 5656 6262 7777 8888 9548 11312 12524 15554 17776 19096 21163 21917 25048 31108 34441 38192 42326 43834 50096 62216 68882 84652 87668 124432 137764 148141 169304 175336 232793 241087 275528 296282 338608 350672 465586 482174 551056 592564 656053 931172 964348 1185128 1312106 1629551 1862344 1928696 2137463 2370256 2624212 3259102 3724688 3857392 4274926 4592371 5248424 6518204 7216583 8549852 9184742 10496848 13036408 14433166 14962241 17099704 18369484 23512093 26072816 28866332 29924482 34199408 36738968 47024186 50516081 57732664 59848964 66261353 73477936 94048372 101032162 115465328 119697928 132522706 164584651 188096744 202064324 239395856 265045412 329169302 376193488 404128648 463829471 530090824 658338604 728874883 808257296 927658942 1060181648 1316677208 1457749766 1855317884 2633354416 2915499532 3710635768 5102124181 5830999064 7421271536 10204248362 11661998128 20408496724 40816993448 81633986896