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811140368148 = 22321119910293137
BaseRepresentation
bin10111100110110111011…
…10111100011100010100
32212112200202201002010100
423303123232330130110
5101242203413240043
61420344401054100
7112413546240315
oct13633356743424
92775622632110
10811140368148
11293003656220
12111255327330
135b64acacaa6
142b38bb3460c
151617635bcd3
hexbcdbbbc714

811140368148 has 72 divisors (see below), whose sum is σ = 2248021339200. Its totient is φ = 244564911360.

The previous prime is 811140368141. The next prime is 811140368177. The reversal of 811140368148 is 841863041118.

811140368148 is a `hidden beast` number, since 8 + 1 + 1 + 140 + 368 + 148 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (811140368141) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5067765 + ... + 5225372.

It is an arithmetic number, because the mean of its divisors is an integer number (31222518600).

Almost surely, 2811140368148 is an apocalyptic number.

It is an amenable number.

811140368148 is an abundant number, since it is smaller than the sum of its proper divisors (1436880971052).

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

811140368148 is a wasteful number, since it uses less digits than its factorization.

811140368148 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10293357 (or 10293352 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 45.

The spelling of 811140368148 in words is "eight hundred eleven billion, one hundred forty million, three hundred sixty-eight thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 199 396 398 597 796 1194 1791 2189 2388 3582 4378 6567 7164 8756 13134 19701 26268 39402 78804 10293137 20586274 30879411 41172548 61758822 92638233 113224507 123517644 185276466 226449014 339673521 370552932 452898028 679347042 1019020563 1358694084 2038041126 2048334263 4076082252 4096668526 6145002789 8193337052 12290005578 18435008367 22531676893 24580011156 36870016734 45063353786 67595030679 73740033468 90126707572 135190061358 202785092037 270380122716 405570184074 811140368148