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130774273892964 = 223213227125412
BaseRepresentation
bin11101101111000001000010…
…001001000010001001100100
3122011000220020222221101100100
4131233001002021002021210
5114120101203104033324
61142044512210344100
736355062263205132
oct3557010211021144
9564026228841310
10130774273892964
113873a070374a39
1212800b1b88b030
1357c7c65747c00
142441719968752
15101bb1408a4c9
hex76f042242264

130774273892964 has 243 divisors, whose sum is σ = 359943720574347. Its totient is φ = 40015654473600.

The previous prime is 130774273892923. The next prime is 130774273893013. The reversal of 130774273892964 is 469298372477031.

The square root of 130774273892964 is 11435658.

It is a perfect power (a square), and thus also a powerful number.

130774273892964 is a `hidden beast` number, since 1 + 30 + 7 + 7 + 427 + 3 + 89 + 2 + 96 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 29405783744100 + 101368490148864 = 5422710^2 + 10068192^2 .

It is a junction number, because it is equal to n+sod(n) for n = 130774273892892 and 130774273892901.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 241726938534 + ... + 241726939074.

Almost surely, 2130774273892964 is an apocalyptic number.

130774273892964 is the 11435658-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130774273892964

130774273892964 is an abundant number, since it is smaller than the sum of its proper divisors (229169446681383).

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

130774273892964 is an equidigital number, since it uses as much as digits as its factorization.

130774273892964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1660 (or 830 counting only the distinct ones).

The product of its (nonzero) digits is 768144384, while the sum is 72.

The spelling of 130774273892964 in words is "one hundred thirty trillion, seven hundred seventy-four billion, two hundred seventy-three million, eight hundred ninety-two thousand, nine hundred sixty-four".