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460772155204 = 2237291732
BaseRepresentation
bin1101011010010000010…
…10010001111101000100
31122001100000002201112221
412231020022101331010
530022130132431304
6551401550222124
745201235461034
oct6551012217504
91561300081487
10460772155204
11168459962059
12753737b4944
13345b204c3aa
14184314138c4
15bebbd23054
hex6b48291f44

460772155204 has 27 divisors (see below), whose sum is σ = 828823911447. Its totient is φ = 224134989984.

The previous prime is 460772155201. The next prime is 460772155237. The reversal of 460772155204 is 402551277064.

The square root of 460772155204 is 678802.

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

It can be written as a sum of positive squares in 4 ways, for example, as 12836436804 + 447935718400 = 113298^2 + 669280^2 .

It is a super-2 number, since 2×4607721552042 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (460772155201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 50226762 + ... + 50235934.

Almost surely, 2460772155204 is an apocalyptic number.

460772155204 is the 678802-nd square number.

It is an amenable number.

460772155204 is a deficient number, since it is larger than the sum of its proper divisors (368051756243).

460772155204 is an frugal number, since it uses more digits than its factorization.

460772155204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18424 (or 9212 counting only the distinct ones).

The product of its (nonzero) digits is 470400, while the sum is 43.

The spelling of 460772155204 in words is "four hundred sixty billion, seven hundred seventy-two million, one hundred fifty-five thousand, two hundred four".

Divisors: 1 2 4 37 74 148 1369 2738 5476 9173 18346 36692 339401 678802 1357604 12557837 25115674 50231348 84143929 168287858 336575716 3113325373 6226650746 12453301492 115193038801 230386077602 460772155204