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122936586368 = 2717218232
BaseRepresentation
bin111001001111110010…
…1110111000010000000
3102202022122212122200112
41302133211313002000
54003233231230433
6132250513410452
711611324512461
oct1623745670200
9382278778615
10122936586368
1148156552a02
121b9ab269a28
13b7926c7c3b
145d43362d68
1532e7bc0348
hex1c9f977080

122936586368 has 72 divisors (see below), whose sum is σ = 260309602605. Its totient is φ = 57820776448.

The previous prime is 122936586337. The next prime is 122936586403. The reversal of 122936586368 is 863685639221.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 112514626624 + 10421959744 = 335432^2 + 102088^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=247928.

It is a super-2 number, since 2×1229365863682 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 67435505 + ... + 67437327.

Almost surely, 2122936586368 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122936586368

122936586368 is an abundant number, since it is smaller than the sum of its proper divisors (137373016237).

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

122936586368 is an frugal number, since it uses more digits than its factorization.

122936586368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3694 (or 1842 counting only the distinct ones).

The product of its digits is 22394880, while the sum is 59.

The spelling of 122936586368 in words is "one hundred twenty-two billion, nine hundred thirty-six million, five hundred eighty-six thousand, three hundred sixty-eight".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 272 289 544 578 1088 1156 1823 2176 2312 3646 4624 7292 9248 14584 18496 29168 30991 36992 58336 61982 116672 123964 233344 247928 495856 526847 991712 1053694 1983424 2107388 3323329 3966848 4214776 6646658 8429552 13293316 16859104 26586632 33718208 53173264 56496593 67436416 106346528 112993186 212693056 225986372 425386112 451972744 903945488 960442081 1807890976 1920884162 3615781952 3841768324 7231563904 7683536648 15367073296 30734146592 61468293184 122936586368