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12442531551050 = 2521760317242689
BaseRepresentation
bin1011010100010000000010…
…1011000101011101001010
31122001111100102021010110202
42311010000223011131022
53112324301034113200
642244004201012202
72422641350101436
oct265040053053512
948044312233422
1012442531551050
113a67936758a97
12148b542784062
136c3430708883
143103166539c6
151689d36b01d5
hexb5100ac574a

12442531551050 has 48 divisors (see below), whose sum is σ = 24504975253080. Its totient is φ = 4684150210560.

The previous prime is 12442531551029. The next prime is 12442531551097. The reversal of 12442531551050 is 5015513524421.

It can be written as a sum of positive squares in 12 ways, for example, as 1806838690969 + 10635692860081 = 1344187^2 + 3261241^2 .

It is a super-3 number, since 3×124425315510503 (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 12442531550995 and 12442531551013.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 51148106 + ... + 51390794.

Almost surely, 212442531551050 is an apocalyptic number.

12442531551050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12442531551050 is a deficient number, since it is larger than the sum of its proper divisors (12062443702030).

12442531551050 is a wasteful number, since it uses less digits than its factorization.

12442531551050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303035 (or 303030 counting only the distinct ones).

The product of its (nonzero) digits is 120000, while the sum is 38.

The spelling of 12442531551050 in words is "twelve trillion, four hundred forty-two billion, five hundred thirty-one million, five hundred fifty-one thousand, fifty".

Divisors: 1 2 5 10 17 25 34 50 85 170 425 850 60317 120634 242689 301585 485378 603170 1025389 1213445 1507925 2050778 2426890 3015850 4125713 5126945 6067225 8251426 10253890 12134450 20628565 25634725 41257130 51269450 103142825 206285650 14638272413 29276544826 73191362065 146382724130 248850631021 365956810325 497701262042 731913620650 1244253155105 2488506310210 6221265775525 12442531551050