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13796329456 = 2472132515393
BaseRepresentation
bin11001101100101001…
…10100011111110000
31022121111020011010001
430312110310133300
5211223330020311
610200555115344
7665612602600
oct146624643760
938544204101
1013796329456
11593a739578
122810442b54
1313bb36ac70
1494c41ac00
1555b3014c1
hex3365347f0

13796329456 has 120 divisors (see below), whose sum is σ = 33626066544. Its totient is φ = 5435136000.

The previous prime is 13796329441. The next prime is 13796329483. The reversal of 13796329456 is 65492369731.

It is a junction number, because it is equal to n+sod(n) for n = 13796329397 and 13796329406.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2555496 + ... + 2560888.

Almost surely, 213796329456 is an apocalyptic number.

13796329456 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 13796329456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16813033272).

13796329456 is an abundant number, since it is smaller than the sum of its proper divisors (19829737088).

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

13796329456 is a wasteful number, since it uses less digits than its factorization.

13796329456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5679 (or 5666 counting only the distinct ones).

The product of its digits is 7348320, while the sum is 55.

The spelling of 13796329456 in words is "thirteen billion, seven hundred ninety-six million, three hundred twenty-nine thousand, four hundred fifty-six".

Divisors: 1 2 4 7 8 13 14 16 26 28 49 52 56 91 98 104 112 182 196 208 251 364 392 502 637 728 784 1004 1274 1456 1757 2008 2548 3263 3514 4016 5096 5393 6526 7028 10192 10786 12299 13052 14056 21572 22841 24598 26104 28112 37751 43144 45682 49196 52208 70109 75502 86288 91364 98392 140218 151004 159887 182728 196784 264257 280436 302008 319774 365456 490763 528514 560872 604016 639548 981526 1057028 1121744 1279096 1353643 1963052 2114056 2558192 2707286 3435341 3926104 4228112 5414572 6870682 7852208 9475501 10829144 13741364 17597359 18951002 21658288 27482728 35194718 37902004 54965456 66328507 70389436 75804008 123181513 132657014 140778872 151608016 246363026 265314028 281557744 492726052 530628056 862270591 985452104 1061256112 1724541182 1970904208 3449082364 6898164728 13796329456