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13720009408 = 267216272689
BaseRepresentation
bin11001100011100011…
…01011101011000000
31022102011121200200121
430301301223223000
5211044310300113
610145231230024
7663665104300
oct146161535300
938364550617
1013720009408
115900651156
1227aa978314
1313a85c8881
14942231600
15554777e8d
hex331c6bac0

13720009408 has 84 divisors (see below), whose sum is σ = 31701897480. Its totient is φ = 5874204672.

The previous prime is 13720009403. The next prime is 13720009439. The reversal of 13720009408 is 80490002731.

It is not an unprimeable number, because it can be changed into a prime (13720009403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5100928 + ... + 5103616.

Almost surely, 213720009408 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 13720009408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15850948740).

13720009408 is an abundant number, since it is smaller than the sum of its proper divisors (17981888072).

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

13720009408 is a wasteful number, since it uses less digits than its factorization.

13720009408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4342 (or 4325 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 34.

The spelling of 13720009408 in words is "thirteen billion, seven hundred twenty million, nine thousand, four hundred eight".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 196 224 392 448 784 1568 1627 2689 3136 3254 5378 6508 10756 11389 13016 18823 21512 22778 26032 37646 43024 45556 52064 75292 79723 86048 91112 104128 131761 150584 159446 172096 182224 263522 301168 318892 364448 527044 602336 637784 728896 1054088 1204672 1275568 2108176 2551136 4216352 4375003 5102272 8432704 8750006 17500012 30625021 35000024 61250042 70000048 122500084 140000096 214375147 245000168 280000192 428750294 490000336 857500588 980000672 1715001176 1960001344 3430002352 6860004704 13720009408