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87197880240 = 2434543312941
BaseRepresentation
bin101000100110101100…
…1100000111110110000
322100001222012021110000
41101031121200332300
52412040124131430
6104020321110000
76204562516122
oct1211531407660
9270058167400
1087197880240
1133a86a26039
1214a96488300
1382b8432253
144312ac5212
152405373e60
hex144d660fb0

87197880240 has 200 divisors, whose sum is σ = 309895196688. Its totient is φ = 22711933440.

The previous prime is 87197880239. The next prime is 87197880281. The reversal of 87197880240 is 4208879178.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 39 ways as a sum of consecutive naturals, for example, 122170 + ... + 435110.

Almost surely, 287197880240 is an apocalyptic number.

87197880240 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87197880240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154947598344).

87197880240 is an abundant number, since it is smaller than the sum of its proper divisors (222697316448).

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

87197880240 is a wasteful number, since it uses less digits than its factorization.

87197880240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313009 (or 312994 counting only the distinct ones).

The product of its (nonzero) digits is 1806336, while the sum is 54.

The spelling of 87197880240 in words is "eighty-seven billion, one hundred ninety-seven million, eight hundred eighty thousand, two hundred forty".