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87321157560 = 2332572132171723
BaseRepresentation
bin101000101010010111…
…1110001111110111000
322100101120011102010200
41101110233301332320
52412313204020220
6104040443242200
76210620410200
oct1212457617670
9270346142120
1087321157560
113403a57611a
1214b0b819360
138307b35b00
144325215400
1524110c5890
hex1454bf1fb8

87321157560 has 864 divisors, whose sum is σ = 378722906640. Its totient is φ = 17329987584.

The previous prime is 87321157529. The next prime is 87321157601. The reversal of 87321157560 is 6575112378.

It is a happy number.

87321157560 is a `hidden beast` number, since 8 + 7 + 3 + 2 + 11 + 575 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 50678859 + ... + 50680581.

Almost surely, 287321157560 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 87321157560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189361453320).

87321157560 is an abundant number, since it is smaller than the sum of its proper divisors (291401749080).

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

87321157560 is a wasteful number, since it uses less digits than its factorization.

87321157560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1797 (or 1770 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 45.

The spelling of 87321157560 in words is "eighty-seven billion, three hundred twenty-one million, one hundred fifty-seven thousand, five hundred sixty".