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9996872493600 = 25335215115711951
BaseRepresentation
bin1001000101111001010000…
…0010001010101000100000
31022101200200020021110121000
42101132110002022220200
52302242043324243400
633132255543432000
72051151551104656
oct221362402125040
938350606243530
109996872493600
1132047169a5193
121155564455600
1357691621c515
14267bcba14dd6
151250955b4600
hex9179408aa20

9996872493600 has 576 divisors, whose sum is σ = 36436627906560. Its totient is φ = 2645136000000.

The previous prime is 9996872493557. The next prime is 9996872493617. The reversal of 9996872493600 is 63942786999.

9996872493600 is a `hidden beast` number, since 9 + 9 + 9 + 6 + 8 + 7 + 2 + 4 + 9 + 3 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

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, 5123972625 + ... + 5123974575.

It is an arithmetic number, because the mean of its divisors is an integer number (63258034560).

Almost surely, 29996872493600 is an apocalyptic number.

9996872493600 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 9996872493600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18218313953280).

9996872493600 is an abundant number, since it is smaller than the sum of its proper divisors (26439755412960).

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

9996872493600 is a wasteful number, since it uses less digits than its factorization.

9996872493600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3702 (or 3683 counting only the distinct ones).

The product of its (nonzero) digits is 317447424, while the sum is 72.

The spelling of 9996872493600 in words is "nine trillion, nine hundred ninety-six billion, eight hundred seventy-two million, four hundred ninety-three thousand, six hundred".