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64123114441304 = 23172320499716893
BaseRepresentation
bin11101001010001110100110…
…11101010100101001011000
322102001002222002121211200202
432211013103131110221120
531401043114244110204
6344213430242121332
716335512360430002
oct1645072335245130
9272032862554622
1064123114441304
1119482507463726
1272375a5350248
1329a1a25b74559
1411b980a895372
15762ec9160e1e
hex3a51d3754a58

64123114441304 has 32 divisors (see below), whose sum is σ = 132838165473120. Its totient is φ = 28863601383936.

The previous prime is 64123114441291. The next prime is 64123114441357. The reversal of 64123114441304 is 40314441132146.

64123114441304 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×641231144413042 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 10249855319 + ... + 10249861574.

It is an arithmetic number, because the mean of its divisors is an integer number (4151192671035).

Almost surely, 264123114441304 is an apocalyptic number.

It is an amenable number.

64123114441304 is an abundant number, since it is smaller than the sum of its proper divisors (68715051031816).

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

64123114441304 is a wasteful number, since it uses less digits than its factorization.

64123114441304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20499716939 (or 20499716935 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 38.

The spelling of 64123114441304 in words is "sixty-four trillion, one hundred twenty-three billion, one hundred fourteen million, four hundred forty-one thousand, three hundred four".

Divisors: 1 2 4 8 17 23 34 46 68 92 136 184 391 782 1564 3128 20499716893 40999433786 81998867572 163997735144 348495187181 471493488539 696990374362 942986977078 1393980748724 1885973954156 2787961497448 3771947908312 8015389305163 16030778610326 32061557220652 64123114441304