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87984610884 = 223818312
BaseRepresentation
bin101000111110001001…
…0101001111001000100
322102002210120100000000
41101330102221321010
52420143030022014
6104230343321300
76233224565352
oct1217422517104
9272083510000
1087984610884
1134350023455
1215075a50230
1383b241a441
1443893987d2
15244e479509
hex147c4a9e44

87984610884 has 81 divisors (see below), whose sum is σ = 231074070591. Its totient is φ = 29312186040.

The previous prime is 87984610873. The next prime is 87984610921. The reversal of 87984610884 is 48801648978.

The square root of 87984610884 is 296622.

It is a perfect power (a square), and thus also a powerful number.

87984610884 is a `hidden beast` number, since 8 + 7 + 9 + 8 + 4 + 610 + 8 + 8 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (81).

It is a super-2 number, since 2×879846108842 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

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 26 ways as a sum of consecutive naturals, for example, 48051849 + ... + 48053679.

Almost surely, 287984610884 is an apocalyptic number.

87984610884 is the 296622-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87984610884

87984610884 is an abundant number, since it is smaller than the sum of its proper divisors (143089459707).

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

87984610884 is an frugal number, since it uses more digits than its factorization.

87984610884 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3690 (or 1836 counting only the distinct ones).

The product of its (nonzero) digits is 24772608, while the sum is 63.

The spelling of 87984610884 in words is "eighty-seven billion, nine hundred eighty-four million, six hundred ten thousand, eight hundred eighty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 729 972 1458 1831 2187 2916 3662 4374 5493 6561 7324 8748 10986 13122 16479 21972 26244 32958 49437 65916 98874 148311 197748 296622 444933 593244 889866 1334799 1779732 2669598 3352561 4004397 5339196 6705122 8008794 10057683 12013191 13410244 16017588 20115366 24026382 30173049 40230732 48052764 60346098 90519147 120692196 181038294 271557441 362076588 543114882 814672323 1086229764 1629344646 2444016969 3258689292 4888033938 7332050907 9776067876 14664101814 21996152721 29328203628 43992305442 87984610884