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987940425696 = 253721723678017
BaseRepresentation
bin11100110000001011101…
…01101000111111100000
310111110001021012120112220
432120011311220333200
5112141300222110241
62033504211551040
7131243041030200
oct16300565507740
93443037176486
10987940425696
11350a8a684264
1213b5772bb480
13722159a5a63
1435b6095c400
151aa72b79166
hexe605d68fe0

987940425696 has 576 divisors, whose sum is σ = 3383250135552. Its totient is φ = 250290044928.

The previous prime is 987940425683. The next prime is 987940425739. The reversal of 987940425696 is 696524049789.

987940425696 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×9879404256963 (a number of 37 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (69) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (69).

It is a self number, because there is not a number n which added to its sum of digits gives 987940425696.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 123226680 + ... + 123234696.

It is an arithmetic number, because the mean of its divisors is an integer number (5873698152).

Almost surely, 2987940425696 is an apocalyptic number.

987940425696 is a gapful number since it is divisible by the number (96) 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 987940425696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1691625067776).

987940425696 is an abundant number, since it is smaller than the sum of its proper divisors (2395309709856).

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

987940425696 is a wasteful number, since it uses less digits than its factorization.

987940425696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8151 (or 8136 counting only the distinct ones).

The product of its (nonzero) digits is 235146240, while the sum is 69.

The spelling of 987940425696 in words is "nine hundred eighty-seven billion, nine hundred forty million, four hundred twenty-five thousand, six hundred ninety-six".