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55046445260450 = 252734217624003
BaseRepresentation
bin11001000010000011111111…
…10100001101111010100010
321012220101111102020002020112
430201001333310031322202
524203340104441313300
6313023553213011322
714410655141402000
oct1441017764157242
9235811442202215
1055046445260450
11165a3080323216
126210453183b42
132493b1bc62b77
14d84395553a70
15656d3eb04e35
hex32107fd0dea2

55046445260450 has 96 divisors (see below), whose sum is σ = 119684664393600. Its totient is φ = 18828235339200.

The previous prime is 55046445260441. The next prime is 55046445260459. The reversal of 55046445260450 is 5406254464055.

55046445260450 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (55046445260441) and next prime (55046445260459).

It is a super-2 number, since 2×550464452604502 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (50).

It is not an unprimeable number, because it can be changed into a prime (55046445260459) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 3408149 + ... + 11032151.

It is an arithmetic number, because the mean of its divisors is an integer number (1246715254100).

Almost surely, 255046445260450 is an apocalyptic number.

55046445260450 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

55046445260450 is an abundant number, since it is smaller than the sum of its proper divisors (64638219133150).

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

55046445260450 is a wasteful number, since it uses less digits than its factorization.

55046445260450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7624457 (or 7624438 counting only the distinct ones).

The product of its (nonzero) digits is 11520000, while the sum is 50.

The spelling of 55046445260450 in words is "fifty-five trillion, forty-six billion, four hundred forty-five million, two hundred sixty thousand, four hundred fifty".

Divisors: 1 2 5 7 10 14 25 35 49 50 70 98 175 245 343 350 421 490 686 842 1225 1715 2105 2450 2947 3430 4210 5894 8575 10525 14735 17150 20629 21050 29470 41258 73675 103145 144403 147350 206290 288806 515725 722015 1031450 1444030 3610075 7220150 7624003 15248006 38120015 53368021 76240030 106736042 190600075 266840105 373576147 381200150 533680210 747152294 1334200525 1867880735 2615033029 2668401050 3209705263 3735761470 5230066058 6419410526 9339403675 13075165145 16048526315 18678807350 22467936841 26150330290 32097052630 44935873682 65375825725 80242631575 112339684205 130751651450 157275557887 160485263150 224679368410 314551115774 561698421025 786377789435 1100928905209 1123396842050 1572755578870 2201857810418 3931888947175 5504644526045 7863777894350 11009289052090 27523222630225 55046445260450