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87513790122 = 2351132595023
BaseRepresentation
bin101000110000000111…
…0100111011010101010
322100212222122011100000
41101200032213122222
52413212012240442
6104111524123430
76215446641153
oct1214016473252
9270788564300
1087513790122
1134129286890
1214b64236576
138338a10885
144342a3a92a
152422e76d4c
hex14603a76aa

87513790122 has 96 divisors (see below), whose sum is σ = 214620456960. Its totient is φ = 26505915120.

The previous prime is 87513790121. The next prime is 87513790141. The reversal of 87513790122 is 22109731578.

87513790122 is a `hidden beast` number, since 8 + 7 + 513 + 7 + 9 + 0 + 122 = 666.

It is not an unprimeable number, because it can be changed into a prime (87513790121) 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 47 ways as a sum of consecutive naturals, for example, 17420103 + ... + 17425125.

It is an arithmetic number, because the mean of its divisors is an integer number (2235629760).

Almost surely, 287513790122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87513790122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107310228480).

87513790122 is an abundant number, since it is smaller than the sum of its proper divisors (127106666838).

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

87513790122 is a wasteful number, since it uses less digits than its factorization.

87513790122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8310 (or 8298 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 45.

The spelling of 87513790122 in words is "eighty-seven billion, five hundred thirteen million, seven hundred ninety thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 81 99 162 198 243 297 486 594 891 1782 2673 3259 5023 5346 6518 9777 10046 15069 19554 29331 30138 35849 45207 55253 58662 71698 87993 90414 107547 110506 135621 165759 175986 215094 263979 271242 322641 331518 406863 497277 527958 645282 791937 813726 967923 994554 1220589 1491831 1583874 1935846 2441178 2903769 2983662 4475493 5807538 8711307 8950986 13426479 16369957 17422614 26852958 32739914 49109871 98219742 147329613 180069527 294659226 360139054 441988839 540208581 883977678 1080417162 1325966517 1620625743 2651933034 3241251486 3977899551 4861877229 7955799102 9723754458 14585631687 29171263374 43756895061 87513790122