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13346102064 = 2432923341149
BaseRepresentation
bin11000110110111110…
…10101101100110000
31021110010001020020110
430123133111230300
5204313100231224
610044153141320
7651504665361
oct143337255460
937403036213
1013346102064
115729588019
1227056ba840
131348cc1919
149086ddb68
15531a1a929
hex31b7d5b30

13346102064 has 80 divisors (see below), whose sum is σ = 35820252000. Its totient is φ = 4276758528.

The previous prime is 13346102053. The next prime is 13346102069. The reversal of 13346102064 is 46020164331.

It is not an unprimeable number, because it can be changed into a prime (13346102069) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 303762 + ... + 344910.

It is an arithmetic number, because the mean of its divisors is an integer number (447753150).

Almost surely, 213346102064 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 13346102064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17910126000).

13346102064 is an abundant number, since it is smaller than the sum of its proper divisors (22474149936).

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

13346102064 is a wasteful number, since it uses less digits than its factorization.

13346102064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41422 (or 41416 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

Adding to 13346102064 its reverse (46020164331), we get a palindrome (59366266395).

The spelling of 13346102064 in words is "thirteen billion, three hundred forty-six million, one hundred two thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 29 48 58 87 116 174 232 233 348 464 466 696 699 932 1392 1398 1864 2796 3728 5592 6757 11184 13514 20271 27028 40542 41149 54056 81084 82298 108112 123447 162168 164596 246894 324336 329192 493788 658384 987576 1193321 1975152 2386642 3579963 4773284 7159926 9546568 9587717 14319852 19093136 19175434 28639704 28763151 38350868 57279408 57526302 76701736 115052604 153403472 230105208 278043793 460210416 556087586 834131379 1112175172 1668262758 2224350344 3336525516 4448700688 6673051032 13346102064