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10664147301120 = 28355293073851
BaseRepresentation
bin1001101100101111000010…
…1101100011001100000000
31101202111000202112211200000
42123023300231203030000
52344210133202113440
634403012554400000
72150313340303035
oct233136055431400
941674022484600
1010664147301120
113441704157365
121242949430000
135c4817829c31
1428c20c9a138c
151375eb683730
hex9b2f0b63300

10664147301120 has 864 divisors, whose sum is σ = 39722061899520. Its totient is φ = 2736057139200.

The previous prime is 10664147301047. The next prime is 10664147301127. The reversal of 10664147301120 is 2110374146601.

10664147301120 is a `hidden beast` number, since 1 + 0 + 6 + 64 + 1 + 473 + 0 + 1 + 120 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-2 number, since 2×106641473011202 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (10664147301127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2769187195 + ... + 2769191045.

It is an arithmetic number, because the mean of its divisors is an integer number (45974608680).

Almost surely, 210664147301120 is an apocalyptic number.

10664147301120 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 10664147301120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19861030949760).

10664147301120 is an abundant number, since it is smaller than the sum of its proper divisors (29057914598400).

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

10664147301120 is an equidigital number, since it uses as much as digits as its factorization.

10664147301120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4223 (or 4197 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 10664147301120 in words is "ten trillion, six hundred sixty-four billion, one hundred forty-seven million, three hundred one thousand, one hundred twenty".