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869880840192 = 214357513
BaseRepresentation
bin11001010100010001111…
…00000100000000000000
310002011022111021020100000
430222020330010000000
5103223003443341232
61503341233200000
7116563313100000
oct14521074040000
93064274236300
10869880840192
11305a07069291
12120709400000
136404c802660
1430161200000
151796321627c
hexca88f04000

869880840192 has 1080 divisors, whose sum is σ = 3274156232256. Its totient is φ = 229419122688.

The previous prime is 869880840187. The next prime is 869880840209. The reversal of 869880840192 is 291048088968.

869880840192 is a `hidden beast` number, since 8 + 69 + 8 + 80 + 8 + 401 + 92 = 666.

It is a super-2 number, since 2×8698808401922 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 66913910778 + ... + 66913910790.

Almost surely, 2869880840192 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 869880840192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1637078116128).

869880840192 is an abundant number, since it is smaller than the sum of its proper divisors (2404275392064).

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

869880840192 is an frugal number, since it uses more digits than its factorization.

869880840192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91 (or 25 counting only the distinct ones).

The product of its (nonzero) digits is 15925248, while the sum is 63.

The spelling of 869880840192 in words is "eight hundred sixty-nine billion, eight hundred eighty million, eight hundred forty thousand, one hundred ninety-two".