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107028190442880 = 273557413923753
BaseRepresentation
bin11000010101011101110001…
…010001011011010110000000
3112000221210110121120101100000
4120111131301101123112000
5103012022213223133010
61015344023311200000
731354350222210540
oct3025356121332600
9460853417511300
10107028190442880
11311144453164a3
1210006944516000
13479493ac7b4b5
141c6029900d320
15c590aed027c0
hex61577145b580

107028190442880 has 768 divisors, whose sum is σ = 438147052761600. Its totient is φ = 24456646213632.

The previous prime is 107028190442857. The next prime is 107028190442893. The reversal of 107028190442880 is 88244091820701.

107028190442880 is a `hidden beast` number, since 1 + 0 + 7 + 0 + 2 + 8 + 190 + 442 + 8 + 8 + 0 = 666.

It is a super-2 number, since 2×1070281904428802 (a number of 29 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

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, 4505869084 + ... + 4505892836.

It is an arithmetic number, because the mean of its divisors is an integer number (570503974950).

Almost surely, 2107028190442880 is an apocalyptic number.

107028190442880 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 107028190442880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219073526380800).

107028190442880 is an abundant number, since it is smaller than the sum of its proper divisors (331118862318720).

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

107028190442880 is an equidigital number, since it uses as much as digits as its factorization.

107028190442880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27933 (or 27909 counting only the distinct ones).

The product of its (nonzero) digits is 2064384, while the sum is 54.

The spelling of 107028190442880 in words is "one hundred seven trillion, twenty-eight billion, one hundred ninety million, four hundred forty-two thousand, eight hundred eighty".