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108232107984 = 243471113194391
BaseRepresentation
bin110010011001100100…
…0101110011111010000
3101100100212210202110000
41210303020232133100
53233124404423414
6121415433410000
710551043511220
oct1446310563720
9340325722400
10108232107984
11419a0226730
1218b86869900
13a28b16c460
14534a4a8080
152c36cd2b09
hex193322e7d0

108232107984 has 800 divisors, whose sum is σ = 442831656960. Its totient is φ = 24578380800.

The previous prime is 108232107967. The next prime is 108232108037. The reversal of 108232107984 is 489701232801.

It is a happy number.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 24646429 + ... + 24650819.

Almost surely, 2108232107984 is an apocalyptic number.

108232107984 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 108232107984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221415828480).

108232107984 is an abundant number, since it is smaller than the sum of its proper divisors (334599548976).

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

108232107984 is a wasteful number, since it uses less digits than its factorization.

108232107984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4461 (or 4446 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 108232107984 in words is "one hundred eight billion, two hundred thirty-two million, one hundred seven thousand, nine hundred eighty-four".