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108329946144 = 25375315591951
BaseRepresentation
bin110010011100011110…
…1111100110000100000
3101100121200220110011120
41210320331330300200
53233324431234034
6121433250412240
710553342230530
oct1447075746040
9340550813146
10108329946144
1141a40480a12
1218bb3591080
13a2a5506c64
1453594954c0
152c406abc49
hex1938f7cc20

108329946144 has 192 divisors, whose sum is σ = 331503943680. Its totient is φ = 30332390400.

The previous prime is 108329946143. The next prime is 108329946167. The reversal of 108329946144 is 441649923801.

It is not an unprimeable number, because it can be changed into a prime (108329946143) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 55524369 + ... + 55526319.

It is an arithmetic number, because the mean of its divisors is an integer number (1726583040).

Almost surely, 2108329946144 is an apocalyptic number.

108329946144 is a gapful number since it is divisible by the number (14) 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 108329946144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165751971840).

108329946144 is an abundant number, since it is smaller than the sum of its proper divisors (223173997536).

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

108329946144 is a wasteful number, since it uses less digits than its factorization.

108329946144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3583 (or 3575 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 51.

The spelling of 108329946144 in words is "one hundred eight billion, three hundred twenty-nine million, nine hundred forty-six thousand, one hundred forty-four".