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20352136435040 = 2551131428178823
BaseRepresentation
bin1001010000010100110011…
…10111001101010101100000
32200001122102101021211221102
410220022121313031111200
510131422133411410130
6111141350432013532
74200251625233504
oct450123167152540
980048371254842
1020352136435040
116537324490683
1223484693912a8
13b482766891b7
14505097742304
1525461474c645
hex128299dcd560

20352136435040 has 96 divisors (see below), whose sum is σ = 48511438145856. Its totient is φ = 8068144250880.

The previous prime is 20352136435003. The next prime is 20352136435049. The reversal of 20352136435040 is 4053463125302.

It is a junction number, because it is equal to n+sod(n) for n = 20352136434985 and 20352136435003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20352136435049) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 258161069 + ... + 258239891.

It is an arithmetic number, because the mean of its divisors is an integer number (505327480686).

Almost surely, 220352136435040 is an apocalyptic number.

20352136435040 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 20352136435040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24255719072928).

20352136435040 is an abundant number, since it is smaller than the sum of its proper divisors (28159301710816).

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

20352136435040 is a wasteful number, since it uses less digits than its factorization.

20352136435040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93232 (or 93224 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 38.

The spelling of 20352136435040 in words is "twenty trillion, three hundred fifty-two billion, one hundred thirty-six million, four hundred thirty-five thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 113 160 226 452 565 904 1130 1808 2260 3616 4520 9040 14281 18080 28562 57124 71405 78823 114248 142810 157646 228496 285620 315292 394115 456992 571240 630584 788230 1142480 1261168 1576460 1613753 2284960 2522336 3152920 3227506 6305840 6455012 8068765 8906999 12611680 12910024 16137530 17813998 25820048 32275060 35627996 44534995 51640096 64550120 71255992 89069990 129100240 142511984 178139980 258200480 285023968 356279960 712559920 1125671263 1425119840 2251342526 4502685052 5628356315 9005370104 11256712630 18010740208 22513425260 36021480416 45026850520 90053701040 127200852719 180107402080 254401705438 508803410876 636004263595 1017606821752 1272008527190 2035213643504 2544017054380 4070427287008 5088034108760 10176068217520 20352136435040