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987317140992 = 29372133143757
BaseRepresentation
bin11100101111000001010…
…11111111111000000000
310111101102211101102200020
432113200223333320000
5112134011142002432
62033322304453440
7131221432141500
oct16274053777000
93441384342606
10987317140992
1135079a872236
1213b42261a280
1372146816940
1435b01c73a00
151aa380ac22c
hexe5e0affe00

987317140992 has 960 divisors, whose sum is σ = 3485060941824. Its totient is φ = 245806202880.

The previous prime is 987317140973. The next prime is 987317141017. The reversal of 987317140992 is 299041713789.

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, 1304249478 + ... + 1304250234.

Almost surely, 2987317140992 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 987317140992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1742530470912).

987317140992 is an abundant number, since it is smaller than the sum of its proper divisors (2497743800832).

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

987317140992 is a wasteful number, since it uses less digits than its factorization.

987317140992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 879 (or 856 counting only the distinct ones).

The product of its (nonzero) digits is 6858432, while the sum is 60.

The spelling of 987317140992 in words is "nine hundred eighty-seven billion, three hundred seventeen million, one hundred forty thousand, nine hundred ninety-two".