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10676322756000 = 25325311194153653
BaseRepresentation
bin1001101101011100011001…
…1011001110010110100000
31101210122110021211000212100
42123113012123032112200
52344410102111143000
634412345052530400
72151224142045036
oct233270633162640
941718407730770
1010676322756000
113446891956870
121245186a80a00
135c5a081338c5
1428ca45a12556
15137ab0510a00
hex9b5c66ce5a0

10676322756000 has 2304 divisors, whose sum is σ = 45482103313920. Its totient is φ = 2343444480000.

The previous prime is 10676322755983. The next prime is 10676322756007. The reversal of 10676322756000 is 65722367601.

10676322756000 is a `hidden beast` number, since 1 + 0 + 6 + 7 + 6 + 32 + 2 + 7 + 5 + 600 + 0 = 666.

10676322756000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×106763227560002 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (10676322756007) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 16349651674 + ... + 16349652326.

It is an arithmetic number, because the mean of its divisors is an integer number (19740496230).

Almost surely, 210676322756000 is an apocalyptic number.

10676322756000 is a gapful number since it is divisible by the number (10) 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 10676322756000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22741051656960).

10676322756000 is an abundant number, since it is smaller than the sum of its proper divisors (34805780557920).

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

10676322756000 is a wasteful number, since it uses less digits than its factorization.

10676322756000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 808 (or 787 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 45.

The spelling of 10676322756000 in words is "ten trillion, six hundred seventy-six billion, three hundred twenty-two million, seven hundred fifty-six thousand".