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22444244505039 = 37171929114099877
BaseRepresentation
bin1010001101001101101010…
…01110001001000111001111
32221110122111222201110102110
411012212311032021013033
510420211303043130124
6115422424340355103
74504354205353020
oct506466516110717
987418458643373
1022444244505039
1171736069a2765
122625a180a5a93
13c6a6386c7926
1457844307ac47
1528dc5dbb5029
hex1469b53891cf

22444244505039 has 64 divisors (see below), whose sum is σ = 39432917836800. Its totient is φ = 11041216800768.

The previous prime is 22444244505013. The next prime is 22444244505041. The reversal of 22444244505039 is 93050544244422.

It is not a de Polignac number, because 22444244505039 - 27 = 22444244504911 is a prime.

It is a super-2 number, since 2×224442445050392 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22444244505139) 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 63 ways as a sum of consecutive naturals, for example, 56853232 + ... + 57246645.

It is an arithmetic number, because the mean of its divisors is an integer number (616139341200).

Almost surely, 222444244505039 is an apocalyptic number.

22444244505039 is a gapful number since it is divisible by the number (29) formed by its first and last digit.

22444244505039 is a deficient number, since it is larger than the sum of its proper divisors (16988673331761).

22444244505039 is a wasteful number, since it uses less digits than its factorization.

22444244505039 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114099952.

The product of its (nonzero) digits is 5529600, while the sum is 48.

The spelling of 22444244505039 in words is "twenty-two trillion, four hundred forty-four billion, two hundred forty-four million, five hundred five thousand, thirty-nine".

Divisors: 1 3 7 17 19 21 29 51 57 87 119 133 203 323 357 399 493 551 609 969 1479 1653 2261 3451 3857 6783 9367 10353 11571 28101 65569 196707 114099877 342299631 798699139 1939697909 2167897663 2396097417 3308896433 5819093727 6503692989 9926689299 13577885363 15175283641 23162275031 36854260271 40733656089 45525850923 56251239361 62869032227 69486825093 110562780813 168753718083 188607096681 257979821897 393758675527 440083225589 773939465691 1068773547859 1181276026581 1320249676767 3206320643577 7481414835013 22444244505039