Search a number
-
+
450051260462532 = 22343066434529851
BaseRepresentation
bin110011001010100011011100…
…1100000101011010111000100
32012000111110222011000200110000
41212111012321200223113010
5432442114440134300112
64233102410030001300
7163540062532166211
oct14625067140532704
92160443864020400
10450051260462532
1112044473879aa03
1242586b48646230
1316417861bb4561
147d1c850b30b08
153706ced1137dc
hex19951b982b5c4

450051260462532 has 60 divisors (see below), whose sum is σ = 1176526990374736. Its totient is φ = 150016564479600.

The previous prime is 450051260462501. The next prime is 450051260462537. The reversal of 450051260462532 is 235264062150054.

450051260462532 is a `hidden beast` number, since 4 + 5 + 0 + 0 + 5 + 1 + 2 + 604 + 6 + 2 + 5 + 32 = 666.

It is a super-2 number, since 2×4500512604625322 (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (450051260462537) 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 19 ways as a sum of consecutive naturals, for example, 97087407 + ... + 101617257.

Almost surely, 2450051260462532 is an apocalyptic number.

It is an amenable number.

450051260462532 is an abundant number, since it is smaller than the sum of its proper divisors (726475729912204).

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

450051260462532 is a wasteful number, since it uses less digits than its factorization.

450051260462532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4836510 (or 4836499 counting only the distinct ones).

The product of its (nonzero) digits is 1728000, while the sum is 45.

The spelling of 450051260462532 in words is "four hundred fifty trillion, fifty-one billion, two hundred sixty million, four hundred sixty-two thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 306643 613286 919929 1226572 1839858 2759787 3679716 4529851 5519574 8279361 9059702 11039148 13589553 16558722 18119404 24838083 27179106 33117444 40768659 49676166 54358212 81537318 99352332 122305977 163074636 244611954 366917931 489223908 733835862 1467671724 1389047100193 2778094200386 4167141300579 5556188400772 8334282601158 12501423901737 16668565202316 25002847803474 37504271705211 50005695606948 75008543410422 112512815115633 150017086820844 225025630231266 450051260462532