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20564142620 = 22572149140831
BaseRepresentation
bin10011001001101101…
…111110101000011100
31222002011001200102212
4103021231332220130
5314103410030440
613240320535552
71325412220400
oct231155765034
958064050385
1020564142620
1187a2a1679a
123b9aa815b8
131c2952a438
14dd11b7100
15805554465
hex4c9b7ea1c

20564142620 has 72 divisors (see below), whose sum is σ = 50572771200. Its totient is φ = 7003194240.

The previous prime is 20564142593. The next prime is 20564142649. The reversal of 20564142620 is 2624146502.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 75605 + ... + 216435.

It is an arithmetic number, because the mean of its divisors is an integer number (702399600).

Almost surely, 220564142620 is an apocalyptic number.

20564142620 is a gapful number since it is divisible by the number (20) 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 20564142620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25286385600).

20564142620 is an abundant number, since it is smaller than the sum of its proper divisors (30008628580).

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

20564142620 is a wasteful number, since it uses less digits than its factorization.

20564142620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141003 (or 140994 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 32.

The spelling of 20564142620 in words is "twenty billion, five hundred sixty-four million, one hundred forty-two thousand, six hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 149 196 245 298 490 596 745 980 1043 1490 2086 2980 4172 5215 7301 10430 14602 20860 29204 36505 73010 140831 146020 281662 563324 704155 985817 1408310 1971634 2816620 3943268 4929085 6900719 9858170 13801438 19716340 20983819 27602876 34503595 41967638 69007190 83935276 104919095 138014380 146886733 209838190 293773466 419676380 587546932 734433665 1028207131 1468867330 2056414262 2937734660 4112828524 5141035655 10282071310 20564142620