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122635344444 = 22323942759883
BaseRepresentation
bin111001000110110100…
…0101101101000111100
3102201112200000222110020
41302031220231220330
54002124122010234
6132200553012140
711601006141234
oct1621550555074
9381480028406
10122635344444
1148011500438
121b9263b4050
13b745183a92
145d15348cc4
1532cb518549
hex1c8da2da3c

122635344444 has 24 divisors (see below), whose sum is σ = 287346420480. Its totient is φ = 40707407664.

The previous prime is 122635344439. The next prime is 122635344457. The reversal of 122635344444 is 444443536221.

It is a junction number, because it is equal to n+sod(n) for n = 122635344396 and 122635344405.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21377074 + ... + 21382809.

It is an arithmetic number, because the mean of its divisors is an integer number (11972767520).

Almost surely, 2122635344444 is an apocalyptic number.

It is an amenable number.

122635344444 is an abundant number, since it is smaller than the sum of its proper divisors (164711076036).

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

122635344444 is a wasteful number, since it uses less digits than its factorization.

122635344444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42760129 (or 42760127 counting only the distinct ones).

The product of its digits is 1105920, while the sum is 42.

The spelling of 122635344444 in words is "one hundred twenty-two billion, six hundred thirty-five million, three hundred forty-four thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 12 239 478 717 956 1434 2868 42759883 85519766 128279649 171039532 256559298 513118596 10219612037 20439224074 30658836111 40878448148 61317672222 122635344444