Search a number
-
+
130359905874 = 23511231431663
BaseRepresentation
bin111100101101000001…
…1100100111001010010
3110110111000011100200000
41321122003210321102
54113434113441444
6135515253110430
712263303626422
oct1713203447122
9413430140600
10130359905874
115031584a800
1221321328416
13c3a66187a3
1464491d4482
1535ce757469
hex1e5a0e4e52

130359905874 has 288 divisors, whose sum is σ = 340275167232. Its totient is φ = 37317218400.

The previous prime is 130359905867. The next prime is 130359905881. The reversal of 130359905874 is 478509953031.

130359905874 is a `hidden beast` number, since 1 + 3 + 0 + 3 + 59 + 9 + 0 + 587 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (130359905867) and next prime (130359905881).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 130359905874.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 78387567 + ... + 78389229.

Almost surely, 2130359905874 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130359905874, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170137583616).

130359905874 is an abundant number, since it is smaller than the sum of its proper divisors (209915261358).

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

130359905874 is a wasteful number, since it uses less digits than its factorization.

130359905874 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1776 (or 1753 counting only the distinct ones).

The product of its (nonzero) digits is 4082400, while the sum is 54.

The spelling of 130359905874 in words is "one hundred thirty billion, three hundred fifty-nine million, nine hundred five thousand, eight hundred seventy-four".