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87031974848 = 2673131631871
BaseRepresentation
bin101000100001110000…
…0101000101111000000
322022122102000102000212
41101003200220233000
52411220141143343
6103552033133252
76200506403000
oct1210340505700
9268572012025
1087031974848
1133a0130a945
1214a4a9ba228
13828cc54890
1442d8a5a000
1523e5a01c18
hex1443828bc0

87031974848 has 224 divisors, whose sum is σ = 218344089600. Its totient is φ = 34200714240.

The previous prime is 87031974847. The next prime is 87031974851. The reversal of 87031974848 is 84847913078.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87031974847) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 46515353 + ... + 46517223.

It is an arithmetic number, because the mean of its divisors is an integer number (974750400).

Almost surely, 287031974848 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 87031974848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109172044800).

87031974848 is an abundant number, since it is smaller than the sum of its proper divisors (131312114752).

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

87031974848 is a wasteful number, since it uses less digits than its factorization.

87031974848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2080 (or 2056 counting only the distinct ones).

The product of its (nonzero) digits is 10838016, while the sum is 59.

The spelling of 87031974848 in words is "eighty-seven billion, thirty-one million, nine hundred seventy-four thousand, eight hundred forty-eight".