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108130348872 = 233371328119577
BaseRepresentation
bin110010010110100010…
…0100010111101001000
3101100002210022212012000
41210231010202331020
53232422332130442
6121401400351000
710545366541350
oct1445504427510
9340083285160
10108130348872
1141948843597
1218b58775460
13a273061070
14533ab79b60
152c2cdd1d4c
hex192d122f48

108130348872 has 256 divisors, whose sum is σ = 371010931200. Its totient is φ = 28414955520.

The previous prime is 108130348831. The next prime is 108130348883. The reversal of 108130348872 is 278843031801.

108130348872 is a `hidden beast` number, since 108 + 130 + 348 + 8 + 72 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5513548 + ... + 5533124.

It is an arithmetic number, because the mean of its divisors is an integer number (1449261450).

Almost surely, 2108130348872 is an apocalyptic number.

108130348872 is a gapful number since it is divisible by the number (12) 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 108130348872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185505465600).

108130348872 is an abundant number, since it is smaller than the sum of its proper divisors (262880582328).

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

108130348872 is a wasteful number, since it uses less digits than its factorization.

108130348872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19893 (or 19883 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 108130348872 in words is "one hundred eight billion, one hundred thirty million, three hundred forty-eight thousand, eight hundred seventy-two".