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92313561984 = 273740185643
BaseRepresentation
bin101010111111001010…
…0010010101110000000
322211021111020211112020
41111332110102232000
53003024232440414
6110224104001440
76445421221140
oct1257624225600
9284244224466
1092313561984
1136171665496
1215a83760280
138922235377
14467a29a920
15260452b7a9
hex157e512b80

92313561984 has 128 divisors (see below), whose sum is σ = 280939726080. Its totient is φ = 26309222400.

The previous prime is 92313561983. The next prime is 92313561997. The reversal of 92313561984 is 48916531329.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (92313561983) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1035067 + ... + 1120709.

It is an arithmetic number, because the mean of its divisors is an integer number (2194841610).

Almost surely, 292313561984 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 92313561984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140469863040).

92313561984 is an abundant number, since it is smaller than the sum of its proper divisors (188626164096).

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

92313561984 is a wasteful number, since it uses less digits than its factorization.

92313561984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86068 (or 86056 counting only the distinct ones).

The product of its digits is 1399680, while the sum is 51.

The spelling of 92313561984 in words is "ninety-two billion, three hundred thirteen million, five hundred sixty-one thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 336 384 401 448 672 802 896 1203 1344 1604 2406 2688 2807 3208 4812 5614 6416 8421 9624 11228 12832 16842 19248 22456 25664 33684 38496 44912 51328 67368 76992 85643 89824 134736 153984 171286 179648 256929 269472 342572 359296 513858 538944 599501 685144 1027716 1077888 1199002 1370288 1798503 2055432 2398004 2740576 3597006 4110864 4796008 5481152 7194012 8221728 9592016 10962304 14388024 16443456 19184032 28776048 32886912 34342843 38368064 57552096 68685686 76736128 103028529 115104192 137371372 206057058 230208384 240399901 274742744 412114116 480799802 549485488 721199703 824228232 961599604 1098970976 1442399406 1648456464 1923199208 2197941952 2884798812 3296912928 3846398416 4395883904 5769597624 6593825856 7692796832 11539195248 13187651712 15385593664 23078390496 30771187328 46156780992 92313561984