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63384972715024 = 24313263592
BaseRepresentation
bin11100110100101111101101…
…10010000110010000010000
322022102112200201201222202221
432122113312302012100100
531301444411003340044
6342450353211150424
716231261466324212
oct1632276662062020
9268375621658687
1063384972715024
11192184637225a4
127138523145414
13294a23c63940c
141191bc5b085b2
1574dbc67db484
hex39a5f6c86410

63384972715024 has 45 divisors (see below), whose sum is σ = 123221374711293. Its totient is φ = 31586264451456.

The previous prime is 63384972714997. The next prime is 63384972715037. The reversal of 63384972715024 is 42051727948336.

The square root of 63384972715024 is 7961468.

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., 404368810000 + 62980603905024 = 635900^2 + 7936032^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 9967754757 + ... + 9967761115.

It is a 2-persistent number, because it is pandigital, and so is 2⋅63384972715024 = 126769945430048, but 3⋅63384972715024 = 190154918145072 is not.

Almost surely, 263384972715024 is an apocalyptic number.

63384972715024 is the 7961468-th square number.

It is an amenable number.

63384972715024 is a deficient number, since it is larger than the sum of its proper divisors (59836401996269).

63384972715024 is an frugal number, since it uses more digits than its factorization.

63384972715024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13352 (or 6674 counting only the distinct ones).

The product of its (nonzero) digits is 60963840, while the sum is 61.

The spelling of 63384972715024 in words is "sixty-three trillion, three hundred eighty-four billion, nine hundred seventy-two million, seven hundred fifteen thousand, twenty-four".

Divisors: 1 2 4 8 16 313 626 1252 2504 5008 6359 12718 25436 50872 97969 101744 195938 391876 783752 1567504 1990367 3980734 7961468 15922936 31845872 40436881 80873762 161747524 323495048 622984871 646990096 1245969742 2491939484 4983878968 9967757936 12656743753 25313487506 50626975012 101253950024 202507900048 3961560794689 7923121589378 15846243178756 31692486357512 63384972715024