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122930385664 = 282961271451
BaseRepresentation
bin111001001111100111…
…0001101001100000000
3102202022020012121220211
41302133032031030000
54003230134320124
6132250132443504
711611221015562
oct1623716151400
9382266177824
10122930385664
1148152aa8259
121b9a9179594
13b791336798
145d425cb332
1532e7397e94
hex1c9f38d300

122930385664 has 72 divisors (see below), whose sum is σ = 258004267920. Its totient is φ = 58372608000.

The previous prime is 122930385637. The next prime is 122930385673. The reversal of 122930385664 is 466583039221.

It is a super-2 number, since 2×1229303856642 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 317139 + ... + 588589.

It is an arithmetic number, because the mean of its divisors is an integer number (3583392610).

Almost surely, 2122930385664 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 122930385664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129002133960).

122930385664 is an abundant number, since it is smaller than the sum of its proper divisors (135073882256).

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

122930385664 is an equidigital number, since it uses as much as digits as its factorization.

122930385664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271557 (or 271543 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 49.

The spelling of 122930385664 in words is "one hundred twenty-two billion, nine hundred thirty million, three hundred eighty-five thousand, six hundred sixty-four".

Divisors: 1 2 4 8 16 29 32 58 61 64 116 122 128 232 244 256 464 488 928 976 1769 1856 1952 3538 3712 3904 7076 7424 7808 14152 15616 28304 56608 113216 226432 271451 452864 542902 1085804 2171608 4343216 7872079 8686432 15744158 16558511 17372864 31488316 33117022 34745728 62976632 66234044 69491456 125953264 132468088 251906528 264936176 480196819 503813056 529872352 960393638 1007626112 1059744704 1920787276 2015252224 2119489408 3841574552 4238978816 7683149104 15366298208 30732596416 61465192832 122930385664