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20866180608 = 29357131997
BaseRepresentation
bin10011011011101110…
…001010011000000000
31222212012101210200000
4103123232022120000
5320213220234413
613330310400000
71336040415540
oct233356123000
958765353600
1020866180608
118938462369
124064060000
131c76c8ca40
14101d35b320
15821d17073
hex4dbb8a600

20866180608 has 960 divisors, whose sum is σ = 81743101440. Its totient is φ = 5159780352.

The previous prime is 20866180607. The next prime is 20866180609. The reversal of 20866180608 is 80608166802.

20866180608 is a `hidden beast` number, since 20 + 8 + 6 + 6 + 18 + 0 + 608 = 666.

It is an interprime number because it is at equal distance from previous prime (20866180607) and next prime (20866180609).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20866180603) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 215115216 + ... + 215115312.

It is an arithmetic number, because the mean of its divisors is an integer number (85149064).

Almost surely, 220866180608 is an apocalyptic number.

20866180608 is a gapful number since it is divisible by the number (28) 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 20866180608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40871550720).

20866180608 is an abundant number, since it is smaller than the sum of its proper divisors (60876920832).

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

20866180608 is an equidigital number, since it uses as much as digits as its factorization.

20866180608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 20866180608 in words is "twenty billion, eight hundred sixty-six million, one hundred eighty thousand, six hundred eight".