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20517077504 = 2971141723
BaseRepresentation
bin10011000110111010…
…011100001000000000
31221221212111112020102
4103012322130020000
5314004332440004
613231520101532
71324301165330
oct230672341000
957855445212
1020517077504
1187793a0000
123b871648a8
131c1c85bb61
14dc8c450c0
1580135911e
hex4c6e9c200

20517077504 has 400 divisors, whose sum is σ = 56939034240. Its totient is φ = 7196344320.

The previous prime is 20517077501. The next prime is 20517077509. The reversal of 20517077504 is 40577071502.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20517077501) 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 39 ways as a sum of consecutive naturals, for example, 892046837 + ... + 892046859.

Almost surely, 220517077504 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 20517077504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28469517120).

20517077504 is an abundant number, since it is smaller than the sum of its proper divisors (36421956736).

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

20517077504 is an frugal number, since it uses more digits than its factorization.

20517077504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 68600, while the sum is 38.

The spelling of 20517077504 in words is "twenty billion, five hundred seventeen million, seventy-seven thousand, five hundred four".