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870899870720 = 21051117909613
BaseRepresentation
bin11001010110001011010…
…11010110110000000000
310002020221111202100102102
430223011223112300000
5103232100331330340
61504030314405532
7116630465521325
oct14530553266000
93066844670372
10870899870720
1130638a2aaa80
121209527308a8
13641829738b9
143021a6a2b4c
15179c2906215
hexcac5ad6c00

870899870720 has 176 divisors, whose sum is σ = 2413125895968. Its totient is φ = 298061660160.

The previous prime is 870899870707. The next prime is 870899870723. The reversal of 870899870720 is 27078998078.

It is a tau number, because it is divible by the number of its divisors (176).

It is a super-2 number, since 2×8708998707202 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (870899870723) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 502634 + ... + 1412246.

Almost surely, 2870899870720 is an apocalyptic number.

870899870720 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 870899870720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1206562947984).

870899870720 is an abundant number, since it is smaller than the sum of its proper divisors (1542226025248).

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

870899870720 is a wasteful number, since it uses less digits than its factorization.

870899870720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 909666 (or 909648 counting only the distinct ones).

The product of its (nonzero) digits is 28449792, while the sum is 65.

The spelling of 870899870720 in words is "eight hundred seventy billion, eight hundred ninety-nine million, eight hundred seventy thousand, seven hundred twenty".