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107778143088 = 243271125793769
BaseRepresentation
bin110010001100000010…
…0111111001101110000
3101022012020120221200100
41210120010333031300
53231212201034323
6121302415352400
710533562046340
oct1443004771560
9338166527610
10107778143088
1141787a52130
1218a7a822700
13a2180b4b85
145306096d20
152c0c00e943
hex191813f370

107778143088 has 240 divisors, whose sum is σ = 376302700800. Its totient is φ = 27976043520.

The previous prime is 107778143071. The next prime is 107778143111. The reversal of 107778143088 is 880341877701.

It is a super-2 number, since 2×1077781430882 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28594068 + ... + 28597836.

It is an arithmetic number, because the mean of its divisors is an integer number (1567927920).

Almost surely, 2107778143088 is an apocalyptic number.

107778143088 is a gapful number since it is divisible by the number (18) 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 107778143088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188151350400).

107778143088 is an abundant number, since it is smaller than the sum of its proper divisors (268524557712).

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

107778143088 is a wasteful number, since it uses less digits than its factorization.

107778143088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6380 (or 6371 counting only the distinct ones).

The product of its (nonzero) digits is 2107392, while the sum is 54.

The spelling of 107778143088 in words is "one hundred seven billion, seven hundred seventy-eight million, one hundred forty-three thousand, eighty-eight".