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9986793281712 = 243313172934289
BaseRepresentation
bin1001000101010011101101…
…0001000001100010110000
31022100201122210110110012000
42101110323101001202300
52302110423040003322
633123511451134000
72050344022161402
oct221247321014260
938321583413160
109986793281712
1132004144a8105
121153610a44300
1357599acb9610
14267513152b72
15124ba57ab3ac
hex9153b4418b0

9986793281712 has 640 divisors, whose sum is σ = 33862020192000. Its totient is φ = 2791724285952.

The previous prime is 9986793281681. The next prime is 9986793281747. The reversal of 9986793281712 is 2171823976899.

9986793281712 is a `hidden beast` number, since 99 + 86 + 79 + 328 + 1 + 71 + 2 = 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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2328464464 + ... + 2328468752.

It is an arithmetic number, because the mean of its divisors is an integer number (52909406550).

Almost surely, 29986793281712 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 9986793281712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16931010096000).

9986793281712 is an abundant number, since it is smaller than the sum of its proper divisors (23875226910288).

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

9986793281712 is a wasteful number, since it uses less digits than its factorization.

9986793281712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4423 (or 4353 counting only the distinct ones).

The product of its digits is 164602368, while the sum is 72.

The spelling of 9986793281712 in words is "nine trillion, nine hundred eighty-six billion, seven hundred ninety-three million, two hundred eighty-one thousand, seven hundred twelve".