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108790298897280 = 2735711131916131847
BaseRepresentation
bin11000101111000110110111…
…000111101110101110000000
3112021012020202222111120222220
4120233012313013232232000
5103224410013004203110
61023213323502531040
731625561011016310
oct3057066707565600
9467166688446886
10108790298897280
1131733785630040
1210250356b96a80
134891b5bbcc1b0
141cc169b25b440
15c89d4300b370
hex62f1b71eeb80

108790298897280 has 2048 divisors, whose sum is σ = 490666246963200. Its totient is φ = 19745661911040.

The previous prime is 108790298897233. The next prime is 108790298897309. The reversal of 108790298897280 is 82798892097801.

It is a Harshad number since it is a multiple of its sum of digits (78).

It is a junction number, because it is equal to n+sod(n) for n = 108790298897196 and 108790298897205.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 58901081317 + ... + 58901083163.

It is an arithmetic number, because the mean of its divisors is an integer number (239583128400).

Almost surely, 2108790298897280 is an apocalyptic number.

108790298897280 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 108790298897280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245333123481600).

108790298897280 is an abundant number, since it is smaller than the sum of its proper divisors (381875948065920).

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

108790298897280 is a wasteful number, since it uses less digits than its factorization.

108790298897280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3532 (or 3520 counting only the distinct ones).

The product of its (nonzero) digits is 585252864, while the sum is 78.

The spelling of 108790298897280 in words is "one hundred eight trillion, seven hundred ninety billion, two hundred ninety-eight million, eight hundred ninety-seven thousand, two hundred eighty".