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87608270304 = 2534197171571
BaseRepresentation
bin101000110010111011…
…1000001110111100000
322101010120102020210000
41101211313001313200
52413410204122204
6104125141140000
76221005003452
oct1214567016740
9271116366700
1087608270304
1134177648185
1214b8b9ba600
138352470ac9
1443513d22d2
15242b3db039
hex1465dc1de0

87608270304 has 120 divisors (see below), whose sum is σ = 258962884488. Its totient is φ = 29054350080.

The previous prime is 87608270263. The next prime is 87608270329. The reversal of 87608270304 is 40307280678.

It is a happy number.

87608270304 is a `hidden beast` number, since 8 + 7 + 608 + 2 + 7 + 0 + 30 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 87608270304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 424839 + ... + 596409.

Almost surely, 287608270304 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 87608270304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129481442244).

87608270304 is an abundant number, since it is smaller than the sum of its proper divisors (171354614184).

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

87608270304 is a wasteful number, since it uses less digits than its factorization.

87608270304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171790 (or 171773 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The spelling of 87608270304 in words is "eighty-seven billion, six hundred eight million, two hundred seventy thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 197 216 288 324 394 432 591 648 788 864 1182 1296 1576 1773 2364 2592 3152 3546 4728 5319 6304 7092 9456 10638 14184 15957 18912 21276 28368 31914 42552 56736 63828 85104 127656 170208 171571 255312 343142 510624 514713 686284 1029426 1372568 1544139 2058852 2745136 3088278 4117704 4632417 5490272 6176556 8235408 9264834 12353112 13897251 16470816 18529668 24706224 27794502 33799487 37059336 49412448 55589004 67598974 74118672 101398461 111178008 135197948 148237344 202796922 222356016 270395896 304195383 405593844 444712032 540791792 608390766 811187688 912586149 1081583584 1216781532 1622375376 1825172298 2433563064 2737758447 3244750752 3650344596 4867126128 5475516894 7300689192 9734252256 10951033788 14601378384 21902067576 29202756768 43804135152 87608270304