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20517316544 = 261036594723
BaseRepresentation
bin10011000110111011…
…010110011111000000
31221221212221200010202
4103012323112133000
5314004413112134
613231525144332
71324303212254
oct230673263700
957855850122
1020517316544
11877954365a
123b8725b0a8
131c1c9138ba
14dc8ca8264
158013a4d7e
hex4c6ed67c0

20517316544 has 56 divisors (see below), whose sum is σ = 41180430720. Its totient is φ = 10141496064.

The previous prime is 20517316531. The next prime is 20517316559. The reversal of 20517316544 is 44561371502.

It is a super-2 number, since 2×205173165442 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 20517316498 and 20517316507.

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, 4341767 + ... + 4346489.

Almost surely, 220517316544 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 20517316544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20590215360).

20517316544 is an abundant number, since it is smaller than the sum of its proper divisors (20663114176).

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

20517316544 is a wasteful number, since it uses less digits than its factorization.

20517316544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5497 (or 5487 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 38.

The spelling of 20517316544 in words is "twenty billion, five hundred seventeen million, three hundred sixteen thousand, five hundred forty-four".

Divisors: 1 2 4 8 16 32 64 103 206 412 659 824 1318 1648 2636 3296 4723 5272 6592 9446 10544 18892 21088 37784 42176 67877 75568 135754 151136 271508 302272 486469 543016 972938 1086032 1945876 2172064 3112457 3891752 4344128 6224914 7783504 12449828 15567008 24899656 31134016 49799312 99598624 199197248 320583071 641166142 1282332284 2564664568 5129329136 10258658272 20517316544