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13357294816 = 253767316763
BaseRepresentation
bin11000111000010100…
…00010010011100000
31021110220002212210211
430130022002103200
5204323431413231
610045233103504
7652002063325
oct143412022340
937426085724
1013357294816
115734932328
1227093b7b94
13134b410358
14909db4b4c
155329cbeb1
hex31c2824e0

13357294816 has 48 divisors (see below), whose sum is σ = 27049652784. Its totient is φ = 6488100864.

The previous prime is 13357294807. The next prime is 13357294877. The reversal of 13357294816 is 61849275331.

It is a self number, because there is not a number n which added to its sum of digits gives 13357294816.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 788451 + ... + 805213.

It is an arithmetic number, because the mean of its divisors is an integer number (563534433).

Almost surely, 213357294816 is an apocalyptic number.

13357294816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13357294816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13524826392).

13357294816 is an abundant number, since it is smaller than the sum of its proper divisors (13692357968).

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

13357294816 is a wasteful number, since it uses less digits than its factorization.

13357294816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17483 (or 17475 counting only the distinct ones).

The product of its digits is 1088640, while the sum is 49.

The spelling of 13357294816 in words is "thirteen billion, three hundred fifty-seven million, two hundred ninety-four thousand, eight hundred sixteen".

Divisors: 1 2 4 8 16 32 37 74 148 296 592 673 1184 1346 2692 5384 10768 16763 21536 24901 33526 49802 67052 99604 134104 199208 268208 398416 536416 620231 796832 1240462 2480924 4961848 9923696 11281499 19847392 22562998 45125996 90251992 180503984 361007968 417415463 834830926 1669661852 3339323704 6678647408 13357294816