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87300690876 = 22327192347101167
BaseRepresentation
bin101000101001110000…
…1101101001110111100
322100100010122121010100
41101103201231032330
52412242434102001
6104034432441100
76210251425440
oct1212341551674
9270303577110
1087300690876
1134029a67203
1214b049a9190
13830381b149
144322608820
15240e3d1586
hex145386d3bc

87300690876 has 576 divisors, whose sum is σ = 287424184320. Its totient is φ = 21771763200.

The previous prime is 87300690859. The next prime is 87300690877. The reversal of 87300690876 is 67809600378.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87300690877) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 522758545 + ... + 522758711.

It is an arithmetic number, because the mean of its divisors is an integer number (499000320).

Almost surely, 287300690876 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 87300690876, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143712092160).

87300690876 is an abundant number, since it is smaller than the sum of its proper divisors (200123493444).

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

87300690876 is a wasteful number, since it uses less digits than its factorization.

87300690876 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 374 (or 369 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The spelling of 87300690876 in words is "eighty-seven billion, three hundred million, six hundred ninety thousand, eight hundred seventy-six".