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10664119730880 = 26335711171949627
BaseRepresentation
bin1001101100101110111100…
…0100011000001011000000
31101202110221211200010102000
42123023233010120023000
52344210104122342010
634403010131424000
72150312554044240
oct233135704301300
941673854603360
1010664119730880
11344169a636440
121242940155000
135c4811bc5b95
1428c209065b20
151375e90397c0
hex9b2ef1182c0

10664119730880 has 1792 divisors, whose sum is σ = 52277579366400. Its totient is φ = 1975765893120.

The previous prime is 10664119730837. The next prime is 10664119730909. The reversal of 10664119730880 is 8803791146601.

10664119730880 is a `hidden beast` number, since 1 + 0 + 66 + 411 + 97 + 3 + 0 + 8 + 80 = 666.

It is a super-2 number, since 2×106641197308802 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

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 255 ways as a sum of consecutive naturals, for example, 214860627 + ... + 214910253.

Almost surely, 210664119730880 is an apocalyptic number.

10664119730880 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 10664119730880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26138789683200).

10664119730880 is an abundant number, since it is smaller than the sum of its proper divisors (41613459635520).

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

10664119730880 is a wasteful number, since it uses less digits than its factorization.

10664119730880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49707 (or 49691 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The spelling of 10664119730880 in words is "ten trillion, six hundred sixty-four billion, one hundred nineteen million, seven hundred thirty thousand, eight hundred eighty".