Search a number
-
+
130154802832080 = 2435513323373581
BaseRepresentation
bin11101100110000000000110…
…110010011110001011010000
3122001211200021222211221200000
4131212000012302132023100
5114024424014011111310
61140452142503530000
736262242230106555
oct3546000662361320
9561750258757600
10130154802832080
1138520384085194
1212720a58159900
135781711b8b000
14241d751768a2c
15100a959b344c0
hex766006c9e2d0

130154802832080 has 1920 divisors, whose sum is σ = 526394938567680. Its totient is φ = 29808570654720.

The previous prime is 130154802832001. The next prime is 130154802832097. The reversal of 130154802832080 is 80238208451031.

130154802832080 is a `hidden beast` number, since 1 + 3 + 0 + 1 + 548 + 0 + 2 + 8 + 3 + 20 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 36345935890 + ... + 36345939470.

It is an arithmetic number, because the mean of its divisors is an integer number (274164030504).

Almost surely, 2130154802832080 is an apocalyptic number.

130154802832080 is a gapful number since it is divisible by the number (10) 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 130154802832080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263197469283840).

130154802832080 is an abundant number, since it is smaller than the sum of its proper divisors (396240135735600).

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

130154802832080 is a wasteful number, since it uses less digits than its factorization.

130154802832080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3708 (or 3664 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 130154802832080 in words is "one hundred thirty trillion, one hundred fifty-four billion, eight hundred two million, eight hundred thirty-two thousand, eighty".