Search a number
-
+
108474342048 = 2534894311091
BaseRepresentation
bin110010100000110010…
…0110001101010100000
3101100222202121112010000
41211001210301222200
53234123412421143
6121455445340000
710560044460042
oct1450144615240
9340882545100
10108474342048
1142004a35776
1219033a07600
13a2c93c3117
145370721a92
152c4d1d0bd3
hex1941931aa0

108474342048 has 240 divisors, whose sum is σ = 323649406080. Its totient is φ = 35636198400.

The previous prime is 108474341993. The next prime is 108474342073. The reversal of 108474342048 is 840243474801.

108474342048 is a `hidden beast` number, since 1 + 0 + 8 + 4 + 7 + 434 + 204 + 8 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 108474341994 and 108474342012.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 99425983 + ... + 99427073.

It is an arithmetic number, because the mean of its divisors is an integer number (1348539192).

Almost surely, 2108474342048 is an apocalyptic number.

108474342048 is a gapful number since it is divisible by the number (18) 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 108474342048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161824703040).

108474342048 is an abundant number, since it is smaller than the sum of its proper divisors (215175064032).

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

108474342048 is a wasteful number, since it uses less digits than its factorization.

108474342048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1633 (or 1616 counting only the distinct ones).

The product of its (nonzero) digits is 688128, while the sum is 45.

The spelling of 108474342048 in words is "one hundred eight billion, four hundred seventy-four million, three hundred forty-two thousand, forty-eight".