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108249441696480 = 253572173141534019
BaseRepresentation
bin11000100111001111001001…
…100001001111101011100000
3112012021112201201021000211010
4120213033021201033223200
5103142024324033241410
61022121035040020520
731541523035454300
oct3047171141175340
9465245651230733
10108249441696480
113154536a864997
1210183573001740
134852b5623c176
141ca342da91600
15c7ac3a51ac20
hex6273c984fae0

108249441696480 has 2304 divisors, whose sum is σ = 452603839242240. Its totient is φ = 21566206771200.

The previous prime is 108249441696469. The next prime is 108249441696481. The reversal of 108249441696480 is 84696144942801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (108249441696481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 26934419911 + ... + 26934423929.

It is an arithmetic number, because the mean of its divisors is an integer number (196442638560).

Almost surely, 2108249441696480 is an apocalyptic number.

108249441696480 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 108249441696480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226301919621120).

108249441696480 is an abundant number, since it is smaller than the sum of its proper divisors (344354397545760).

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

108249441696480 is a wasteful number, since it uses less digits than its factorization.

108249441696480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4193 (or 4178 counting only the distinct ones).

The product of its (nonzero) digits is 95551488, while the sum is 66.

The spelling of 108249441696480 in words is "one hundred eight trillion, two hundred forty-nine billion, four hundred forty-one million, six hundred ninety-six thousand, four hundred eighty".