Search a number
-
+
108390363354 = 2367131923173
BaseRepresentation
bin110010011110010010…
…0011011000011011010
3101100202220120222000000
41210330210123003122
53233440413111404
6121443245353430
710555004613150
oct1447444330332
9340686528000
10108390363354
1141a71597299
121900b868876
13a2b4b9baa0
1453635013d0
152c45b43339
hex193c91b0da

108390363354 has 672 divisors, whose sum is σ = 331334083584. Its totient is φ = 25849290240.

The previous prime is 108390363349. The next prime is 108390363379. The reversal of 108390363354 is 453363093801.

108390363354 is a `hidden beast` number, since 1 + 0 + 8 + 3 + 9 + 0 + 3 + 633 + 5 + 4 = 666.

It is a super-2 number, since 2×1083903633542 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 1484799462 + ... + 1484799534.

It is an arithmetic number, because the mean of its divisors is an integer number (493056672).

Almost surely, 2108390363354 is an apocalyptic number.

108390363354 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 108390363354, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165667041792).

108390363354 is an abundant number, since it is smaller than the sum of its proper divisors (222943720230).

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

108390363354 is a wasteful number, since it uses less digits than its factorization.

108390363354 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 45.

The spelling of 108390363354 in words is "one hundred eight billion, three hundred ninety million, three hundred sixty-three thousand, three hundred fifty-four".