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13472828656 = 2473122317401
BaseRepresentation
bin11001000110000101…
…10000110011110000
31021202221111121102221
430203002300303300
5210043021004111
610104521250424
7654604103560
oct144302606360
937687447387
1013472828656
115794073641
122740033a14
131369332481
1491b48ada0
1553cbee371
hex3230b0cf0

13472828656 has 80 divisors (see below), whose sum is σ = 30934908928. Its totient is φ = 5562432000.

The previous prime is 13472828651. The next prime is 13472828701. The reversal of 13472828656 is 65682827431.

It is a super-2 number, since 2×134728286562 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13472828651) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 765556 + ... + 782956.

Almost surely, 213472828656 is an apocalyptic number.

13472828656 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 13472828656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15467454464).

13472828656 is an abundant number, since it is smaller than the sum of its proper divisors (17462080272).

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

13472828656 is a wasteful number, since it uses less digits than its factorization.

13472828656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17670 (or 17664 counting only the distinct ones).

The product of its digits is 3870720, while the sum is 52.

The spelling of 13472828656 in words is "thirteen billion, four hundred seventy-two million, eight hundred twenty-eight thousand, six hundred fifty-six".

Divisors: 1 2 4 7 8 14 16 28 31 56 62 112 124 217 223 248 434 446 496 868 892 1561 1736 1784 3122 3472 3568 6244 6913 12488 13826 17401 24976 27652 34802 48391 55304 69604 96782 110608 121807 139208 193564 243614 278416 387128 487228 539431 774256 974456 1078862 1948912 2157724 3776017 3880423 4315448 7552034 7760846 8630896 15104068 15521692 27162961 30208136 31043384 54325922 60416272 62086768 108651844 120293113 217303688 240586226 434607376 481172452 842051791 962344904 1684103582 1924689808 3368207164 6736414328 13472828656