Search a number
-
+
107469695808 = 2634891092137
BaseRepresentation
bin110010000010110110…
…0010110101101000000
3101021101202012012120000
41210011230112231000
53230044220231213
6121212040320000
710523125225206
oct1440554265500
9337352165500
10107469695808
1141639929122
12189b3473000
13a19921a1a7
1452b7125076
152bdedd2c73
hex1905b16b40

107469695808 has 280 divisors, whose sum is σ = 325260995400. Its totient is φ = 35079340032.

The previous prime is 107469695807. The next prime is 107469695843. The reversal of 107469695808 is 808596964701.

107469695808 is a `hidden beast` number, since 1 + 0 + 7 + 46 + 9 + 6 + 9 + 580 + 8 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 195105024 + 107274590784 = 13968^2 + 327528^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107469695803) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 50288916 + ... + 50291052.

Almost surely, 2107469695808 is an apocalyptic number.

107469695808 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 107469695808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162630497700).

107469695808 is an abundant number, since it is smaller than the sum of its proper divisors (217791299592).

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

107469695808 is a wasteful number, since it uses less digits than its factorization.

107469695808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2359 (or 2340 counting only the distinct ones).

The product of its (nonzero) digits is 26127360, while the sum is 63.

The spelling of 107469695808 in words is "one hundred seven billion, four hundred sixty-nine million, six hundred ninety-five thousand, eight hundred eight".