Search a number
-
+
629730486052416 = 26327156183156263
BaseRepresentation
bin1000111100101111001000110…
…1111011001110011001000000
310001120200122110022112211101200
42033023302031323032121000
51130020001013412134131
610111154105212301200
7246433345331126220
oct21713621573163100
93046618408484350
10629730486052416
11172719221378141
125a765ba1771800
132104c43a0c2b38
14b1711922c6080
154cc0b05e222e6
hex23cbc8dece640

629730486052416 has 84 divisors (see below), whose sum is σ = 2062867127934912. Its totient is φ = 179922996013824.

The previous prime is 629730486052373. The next prime is 629730486052483. The reversal of 629730486052416 is 614250684037926.

629730486052416 is a `hidden beast` number, since 6 + 2 + 9 + 7 + 3 + 0 + 4 + 8 + 605 + 2 + 4 + 16 = 666.

629730486052416 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (84).

It is a super-2 number, since 2×6297304860524162 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 78091574100 + ... + 78091582163.

It is a 2-persistent number, because it is pandigital, and so is 2⋅629730486052416 = 1259460972104832, but 3⋅629730486052416 = 1889191458157248 is not.

Almost surely, 2629730486052416 is an apocalyptic number.

It is an amenable number.

629730486052416 is an abundant number, since it is smaller than the sum of its proper divisors (1433136641882496).

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

629730486052416 is a wasteful number, since it uses less digits than its factorization.

629730486052416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156183156288 (or 156183156275 counting only the distinct ones).

The product of its (nonzero) digits is 104509440, while the sum is 63.

The spelling of 629730486052416 in words is "six hundred twenty-nine trillion, seven hundred thirty billion, four hundred eighty-six million, fifty-two thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 144 168 192 224 252 288 336 448 504 576 672 1008 1344 2016 4032 156183156263 312366312526 468549468789 624732625052 937098937578 1093282093841 1249465250104 1405648406367 1874197875156 2186564187682 2498930500208 2811296812734 3279846281523 3748395750312 4373128375364 4997861000416 5622593625468 6559692563046 7496791500624 8746256750728 9839538844569 9995722000832 11245187250936 13119385126092 14993583001248 17492513501456 19679077689138 22490374501872 26238770252184 29987166002496 34985027002912 39358155378276 44980749003744 52477540504368 69970054005824 78716310756552 89961498007488 104955081008736 157432621513104 209910162017472 314865243026208 629730486052416