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20422060640 = 2552341135353
BaseRepresentation
bin10011000001001111…
…111110101001100000
31221201020201011121022
4103001033332221200
5313311021420030
613214243345012
71322035436252
oct230117765140
957636634538
1020422060640
11872a7a2473
123b5b382168
131c05c71567
14dba38dcd2
157e7d3ade5
hex4c13fea60

20422060640 has 96 divisors (see below), whose sum is σ = 51573122496. Its totient is φ = 7623024640.

The previous prime is 20422060621. The next prime is 20422060651. The reversal of 20422060640 is 4606022402.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 83204 + ... + 218556.

It is an arithmetic number, because the mean of its divisors is an integer number (537220026).

Almost surely, 220422060640 is an apocalyptic number.

20422060640 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 20422060640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25786561248).

20422060640 is an abundant number, since it is smaller than the sum of its proper divisors (31151061856).

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

20422060640 is a wasteful number, since it uses less digits than its factorization.

20422060640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135432 (or 135424 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

The spelling of 20422060640 in words is "twenty billion, four hundred twenty-two million, sixty thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 41 46 80 82 92 115 160 164 184 205 230 328 368 410 460 656 736 820 920 943 1312 1640 1840 1886 3280 3680 3772 4715 6560 7544 9430 15088 18860 30176 37720 75440 135353 150880 270706 541412 676765 1082824 1353530 2165648 2707060 3113119 4331296 5414120 5549473 6226238 10828240 11098946 12452476 15565595 21656480 22197892 24904952 27747365 31131190 44395784 49809904 55494730 62262380 88791568 99619808 110989460 124524760 127637879 177583136 221978920 249049520 255275758 443957840 498099040 510551516 638189395 887915680 1021103032 1276378790 2042206064 2552757580 4084412128 5105515160 10211030320 20422060640