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108186478680 = 23357222382507
BaseRepresentation
bin110010011000001101…
…0101010100001011000
3101100020200221112210210
41210300122222201120
53233031214304210
6121411123411120
710546650616200
oct1446032524130
9340220845723
10108186478680
11419774a0765
1218b73523aa0
13a281884577
1453443cb400
152c32cbce20
hex19306aa858

108186478680 has 192 divisors, whose sum is σ = 379246371840. Its totient is φ = 24617150208.

The previous prime is 108186478657. The next prime is 108186478681. The reversal of 108186478680 is 86874681801.

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 108186478680.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (108186478681) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1269987 + ... + 1352493.

It is an arithmetic number, because the mean of its divisors is an integer number (1975241520).

Almost surely, 2108186478680 is an apocalyptic number.

108186478680 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 108186478680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189623185920).

108186478680 is an abundant number, since it is smaller than the sum of its proper divisors (271059893160).

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

108186478680 is a wasteful number, since it uses less digits than its factorization.

108186478680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82758 (or 82747 counting only the distinct ones).

The product of its (nonzero) digits is 4128768, while the sum is 57.

The spelling of 108186478680 in words is "one hundred eight billion, one hundred eighty-six million, four hundred seventy-eight thousand, six hundred eighty".