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87180271232 = 271988340597
BaseRepresentation
bin101000100110001011…
…0010101111010000000
322100000202001122102112
41101030112111322000
52412021122134412
6104014451434452
76204260035655
oct1211426257200
9270022048375
1087180271232
1133a77a9913a
1214a905b5a28
1382b48a8212
14431061dc2c
152403a46722
hex144c595e80

87180271232 has 64 divisors (see below), whose sum is σ = 183032023200. Its totient is φ = 41248134144.

The previous prime is 87180271229. The next prime is 87180271261. The reversal of 87180271232 is 23217208178.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 87180271232.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2127158 + ... + 2167754.

Almost surely, 287180271232 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 87180271232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91516011600).

87180271232 is an abundant number, since it is smaller than the sum of its proper divisors (95851751968).

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

87180271232 is a wasteful number, since it uses less digits than its factorization.

87180271232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41513 (or 41501 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 41.

The spelling of 87180271232 in words is "eighty-seven billion, one hundred eighty million, two hundred seventy-one thousand, two hundred thirty-two".

Divisors: 1 2 4 8 16 19 32 38 64 76 128 152 304 608 883 1216 1766 2432 3532 7064 14128 16777 28256 33554 40597 56512 67108 81194 113024 134216 162388 268432 324776 536864 649552 771343 1073728 1299104 1542686 2147456 2598208 3085372 5196416 6170744 12341488 24682976 35847151 49365952 71694302 98731904 143388604 286777208 573554416 681095869 1147108832 1362191738 2294217664 2724383476 4588435328 5448766952 10897533904 21795067808 43590135616 87180271232