Search a number
-
+
130718207760 = 24357435713169
BaseRepresentation
bin111100110111101101…
…0011000111100010000
3110111101222100222110020
41321233122120330100
54120202330122020
6140015012503440
712305214301350
oct1715732307420
9414358328406
10130718207760
115048a025268
122140131ab80
13c43291a63a
146480a22b60
153600e30c40
hex1e6f698f10

130718207760 has 320 divisors, whose sum is σ = 474865797120. Its totient is φ = 29123297280.

The previous prime is 130718207759. The next prime is 130718207771. The reversal of 130718207760 is 67702817031.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 41247456 + ... + 41250624.

It is an arithmetic number, because the mean of its divisors is an integer number (1483955616).

Almost surely, 2130718207760 is an apocalyptic number.

130718207760 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 130718207760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237432898560).

130718207760 is an abundant number, since it is smaller than the sum of its proper divisors (344147589360).

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

130718207760 is a wasteful number, since it uses less digits than its factorization.

130718207760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3806 (or 3800 counting only the distinct ones).

The product of its (nonzero) digits is 98784, while the sum is 42.

The spelling of 130718207760 in words is "one hundred thirty billion, seven hundred eighteen million, two hundred seven thousand, seven hundred sixty".