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13346359712 = 257238921881
BaseRepresentation
bin11000110111000000…
…10100100110100000
31021110010112022122222
430123200110212200
5204313132002322
610044202450212
7651510120500
oct143340244640
937403468588
1013346359712
115729743654
122705803968
131349081c8a
14908769a00
15531a6be42
hex31b8149a0

13346359712 has 72 divisors (see below), whose sum is σ = 30645522180. Its totient is φ = 5704903680.

The previous prime is 13346359681. The next prime is 13346359727. The reversal of 13346359712 is 21795364331.

It can be written as a sum of positive squares in 2 ways, for example, as 10404816016 + 2941543696 = 102004^2 + 54236^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 599012 + ... + 620892.

Almost surely, 213346359712 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 13346359712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15322761090).

13346359712 is an abundant number, since it is smaller than the sum of its proper divisors (17299162468).

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

13346359712 is a wasteful number, since it uses less digits than its factorization.

13346359712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22294 (or 22279 counting only the distinct ones).

The product of its digits is 408240, while the sum is 44.

The spelling of 13346359712 in words is "thirteen billion, three hundred forty-six million, three hundred fifty-nine thousand, seven hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 98 112 196 224 389 392 778 784 1556 1568 2723 3112 5446 6224 10892 12448 19061 21784 21881 38122 43568 43762 76244 87136 87524 152488 153167 175048 304976 306334 350096 609952 612668 700192 1072169 1225336 2144338 2450672 4288676 4901344 8511709 8577352 17023418 17154704 34046836 34309408 59581963 68093672 119163926 136187344 238327852 272374688 417073741 476655704 834147482 953311408 1668294964 1906622816 3336589928 6673179856 13346359712