Search a number
-
+
108136948032 = 2632893476079
BaseRepresentation
bin110010010110101110…
…1101110000101000000
3101100010020202010112100
41210231131232011000
53232431024314112
6121402154030400
710545506615031
oct1445535560500
9340106663470
10108136948032
1141951540643
1218b5aa18400
13a2745319a9
14533b9b6a88
152c2d7872dc
hex192d76e140

108136948032 has 168 divisors, whose sum is σ = 314392665600. Its totient is φ = 35532085248.

The previous prime is 108136948027. The next prime is 108136948039. The reversal of 108136948032 is 230849631801.

108136948032 is a `hidden beast` number, since 1 + 0 + 8 + 136 + 9 + 480 + 32 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (108136948039) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17785569 + ... + 17791647.

Almost surely, 2108136948032 is an apocalyptic number.

108136948032 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 108136948032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157196332800).

108136948032 is an abundant number, since it is smaller than the sum of its proper divisors (206255717568).

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

108136948032 is a wasteful number, since it uses less digits than its factorization.

108136948032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6533 (or 6520 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 108136948032 in words is "one hundred eight billion, one hundred thirty-six million, nine hundred forty-eight thousand, thirty-two".