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20134523656 = 23132344319001
BaseRepresentation
bin10010110000000111…
…000111001100001000
31220222012122210000101
4102300013013030020
5312213414224111
613125532415144
71311644425102
oct226007071410
956865583011
1020134523656
1185a24606a5
123a9b0174b4
131b8b518430
14d90102572
157cc98ebc1
hex4b01c7308

20134523656 has 64 divisors (see below), whose sum is σ = 42521915520. Its totient is φ = 8868288000.

The previous prime is 20134523639. The next prime is 20134523659. The reversal of 20134523656 is 65632543102.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (20134523659) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1050156 + ... + 1069156.

It is an arithmetic number, because the mean of its divisors is an integer number (664404930).

Almost surely, 220134523656 is an apocalyptic number.

20134523656 is a gapful number since it is divisible by the number (26) 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 20134523656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21260957760).

20134523656 is an abundant number, since it is smaller than the sum of its proper divisors (22387391864).

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

20134523656 is a wasteful number, since it uses less digits than its factorization.

20134523656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19486 (or 19482 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 37.

The spelling of 20134523656 in words is "twenty billion, one hundred thirty-four million, five hundred twenty-three thousand, six hundred fifty-six".

Divisors: 1 2 4 8 13 23 26 46 52 92 104 184 299 443 598 886 1196 1772 2392 3544 5759 10189 11518 19001 20378 23036 38002 40756 46072 76004 81512 132457 152008 247013 264914 437023 494026 529828 874046 988052 1059656 1748092 1976104 3496184 5681299 8417443 11362598 16834886 22725196 33669772 45450392 67339544 109426759 193601189 218853518 387202378 437707036 774404756 875414072 1548809512 2516815457 5033630914 10067261828 20134523656