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812952369040 = 24572719375717
BaseRepresentation
bin10111101010001111011…
…11001011011110010000
32212201101001022021001111
423311013233023132100
5101304411301302130
61421244250343104
7112506501056620
oct13650757133620
92781331267044
10812952369040
11293853467319
1211168012aa94
135b879512376
142b4c0652880
151623048602a
hexbd47bcb790

812952369040 has 160 divisors (see below), whose sum is σ = 2170795060224. Its totient is φ = 277353123840.

The previous prime is 812952369023. The next prime is 812952369091. The reversal of 812952369040 is 40963259218.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 142196262 + ... + 142201978.

Almost surely, 2812952369040 is an apocalyptic number.

812952369040 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 812952369040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1085397530112).

812952369040 is an abundant number, since it is smaller than the sum of its proper divisors (1357842691184).

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

812952369040 is a wasteful number, since it uses less digits than its factorization.

812952369040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6945 (or 6939 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 49.

The spelling of 812952369040 in words is "eight hundred twelve billion, nine hundred fifty-two million, three hundred sixty-nine thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 271 280 542 560 937 1084 1355 1874 1897 2168 2710 3748 3794 4336 4685 5420 5717 6559 7496 7588 9370 9485 10840 11434 13118 14992 15176 18740 18970 21680 22868 26236 28585 30352 32795 37480 37940 40019 45736 52472 57170 65590 74960 75880 80038 91472 104944 114340 131180 151760 160076 200095 228680 253927 262360 320152 400190 457360 507854 524720 640304 800380 1015708 1269635 1549307 1600760 1777489 2031416 2539270 3098614 3201520 3554978 4062832 5078540 5356829 6197228 7109956 7746535 8887445 10157080 10713658 10845149 12394456 14219912 15493070 17774890 20314160 21427316 21690298 24788912 26784145 28439824 30986140 35549780 37497803 42854632 43380596 53568290 54225745 61972280 71099560 74995606 85709264 86761192 107136580 108451490 123944560 142199120 149991212 173522384 187489015 214273160 216902980 299982424 374978030 428546320 433805960 599964848 749956060 867611920 1451700659 1499912120 2903401318 2999824240 5806802636 7258503295 10161904613 11613605272 14517006590 20323809226 23227210544 29034013180 40647618452 50809523065 58068026360 81295236904 101619046130 116136052720 162590473808 203238092260 406476184520 812952369040