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130064158224 = 2432721113128903
BaseRepresentation
bin111100100100001101…
…1011000111000010000
3110102201101122211011100
41321020123120320100
54112332411030344
6135430050144400
712253053050400
oct1711033307020
9412641584140
10130064158224
1150183910160
122125a282100
13c35a279390
14641bc0a800
1535b37d8569
hex1e486d8e10

130064158224 has 360 divisors, whose sum is σ = 497457035712. Its totient is φ = 31183971840.

The previous prime is 130064158207. The next prime is 130064158241. The reversal of 130064158224 is 422851460031.

It is a happy number.

130064158224 is a `hidden beast` number, since 1 + 3 + 0 + 0 + 641 + 5 + 8 + 2 + 2 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (130064158207) and next prime (130064158241).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 944557 + ... + 1073459.

Almost surely, 2130064158224 is an apocalyptic number.

130064158224 is a gapful number since it is divisible by the number (14) 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 130064158224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248728517856).

130064158224 is an abundant number, since it is smaller than the sum of its proper divisors (367392877488).

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

130064158224 is a wasteful number, since it uses less digits than its factorization.

130064158224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128955 (or 128939 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 130064158224 in words is "one hundred thirty billion, sixty-four million, one hundred fifty-eight thousand, two hundred twenty-four".