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969899948640 = 25345747227471
BaseRepresentation
bin11100001110100101000…
…10101011101001100000
310102201110222212101110000
432013102202223221200
5111342323341324030
62021322121540000
7130034011352160
oct16072242535140
93381428771400
10969899948640
11344372265897
12137b81644600
13705cc27276c
1434d2c9d65a0
151a368e77860
hexe1d28aba60

969899948640 has 480 divisors, whose sum is σ = 3995179905024. Its totient is φ = 216973624320.

The previous prime is 969899948597. The next prime is 969899948663. The reversal of 969899948640 is 46849998969.

It is a happy number.

969899948640 is a `hidden beast` number, since 9 + 6 + 9 + 8 + 9 + 99 + 486 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a self number, because there is not a number n which added to its sum of digits gives 969899948640.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4150105 + ... + 4377575.

Almost surely, 2969899948640 is an apocalyptic number.

969899948640 is a gapful number since it is divisible by the number (90) 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 969899948640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1997589952512).

969899948640 is an abundant number, since it is smaller than the sum of its proper divisors (3025279956384).

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

969899948640 is a wasteful number, since it uses less digits than its factorization.

969899948640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227552 (or 227535 counting only the distinct ones).

The product of its (nonzero) digits is 2176782336, while the sum is 81.

The spelling of 969899948640 in words is "nine hundred sixty-nine billion, eight hundred ninety-nine million, nine hundred forty-eight thousand, six hundred forty".