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108027942053760 = 27385137187787
BaseRepresentation
bin11000100100000000110111…
…000111001010011110000000
3112011111101000000121100000000
4120210000313013022132000
5103124412211131210020
61021431203530000000
731516522052534211
oct3044006707123600
9464441000540000
10108027942053760
113146a436008a23
1210148657276000
134837cb6949911
141c9681a479408
15c750c4852090
hex6240371ca780

108027942053760 has 576 divisors, whose sum is σ = 390191303427120. Its totient is φ = 28597025562624.

The previous prime is 108027942053749. The next prime is 108027942053777. The reversal of 108027942053760 is 67350249720801.

It is a happy number.

108027942053760 is a `hidden beast` number, since 1 + 0 + 8 + 0 + 2 + 7 + 9 + 42 + 0 + 537 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a junction number, because it is equal to n+sod(n) for n = 108027942053697 and 108027942053706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 575174587 + ... + 575362373.

It is a 1-persistent number, because it is pandigital, but 2⋅108027942053760 = 216055884107520 is not.

Almost surely, 2108027942053760 is an apocalyptic number.

108027942053760 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 108027942053760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195095651713560).

108027942053760 is an abundant number, since it is smaller than the sum of its proper divisors (282163361373360).

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

108027942053760 is an frugal number, since it uses more digits than its factorization.

108027942053760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187967 (or 187934 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 108027942053760 in words is "one hundred eight trillion, twenty-seven billion, nine hundred forty-two million, fifty-three thousand, seven hundred sixty".