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130950076128964 = 222921972992
BaseRepresentation
bin11101110001100100110000…
…110001010101111011000100
3122011122201000221212021221021
4131301210300301111323010
5114130441223442111324
61142301345014400524
736403554650436211
oct3561446061257304
9564581027767837
10130950076128964
11387a7685127974
121282b003660144
13580b7017b7421
14244a036050b08
1510214a2ea6ae4
hex771930c55ec4

130950076128964 has 27 divisors (see below), whose sum is σ = 237338484197997. Its totient is φ = 63216957717648.

The previous prime is 130950076128959. The next prime is 130950076128979. The reversal of 130950076128964 is 469821670059031.

The square root of 130950076128964 is 11443342.

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

It can be written as a sum of positive squares in only one way, i.e., 68667043487364 + 62283032641600 = 8286558^2 + 7891960^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 663615187 + ... + 663812485.

It is a 1-persistent number, because it is pandigital, but 2⋅130950076128964 = 261900152257928 is not.

Almost surely, 2130950076128964 is an apocalyptic number.

130950076128964 is the 11443342-nd square number.

It is an amenable number.

130950076128964 is a deficient number, since it is larger than the sum of its proper divisors (106388408069033).

130950076128964 is an frugal number, since it uses more digits than its factorization.

130950076128964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 394660 (or 197330 counting only the distinct ones).

The product of its (nonzero) digits is 19595520, while the sum is 61.

The spelling of 130950076128964 in words is "one hundred thirty trillion, nine hundred fifty billion, seventy-six million, one hundred twenty-eight thousand, nine hundred sixty-four".

Divisors: 1 2 4 29 58 116 841 1682 3364 197299 394598 789196 5721671 11443342 22886684 165928459 331856918 663713836 38926895401 77853790802 155707581604 1128879966629 2257759933258 4515519866516 32737519032241 65475038064482 130950076128964