Search a number
-
+
130057072264 = 2372322447719
BaseRepresentation
bin111100100100000000…
…0010110111010001000
3110102200220022211001101
41321020000112322020
54112324102303024
6135425234231144
712252635605540
oct1711000267210
9412626284041
10130057072264
115017a910399
1221257a254b4
13c358967cc2
14641acc4320
1535b2d88c44
hex1e48016e88

130057072264 has 16 divisors (see below), whose sum is σ = 278693726400. Its totient is φ = 55738745232.

The previous prime is 130057072261. The next prime is 130057072267. The reversal of 130057072264 is 462270750031.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (130057072261) and next prime (130057072267).

It is a super-4 number, since 4×1300570722644 (a number of 46 digits) contains 4444 as substring.

It is not an unprimeable number, because it can be changed into a prime (130057072261) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1161223804 + ... + 1161223915.

It is an arithmetic number, because the mean of its divisors is an integer number (17418357900).

Almost surely, 2130057072264 is an apocalyptic number.

130057072264 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

130057072264 is an abundant number, since it is smaller than the sum of its proper divisors (148636654136).

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

130057072264 is a wasteful number, since it uses less digits than its factorization.

130057072264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2322447732 (or 2322447728 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 37.

The spelling of 130057072264 in words is "one hundred thirty billion, fifty-seven million, seventy-two thousand, two hundred sixty-four".

Divisors: 1 2 4 7 8 14 28 56 2322447719 4644895438 9289790876 16257134033 18579581752 32514268066 65028536132 130057072264