Search a number
-
+
20356364364600 = 23352112367229873
BaseRepresentation
bin1001010000011100101011…
…10111011110101100111000
32200002001100000212220222010
410220032111313132230320
510132004313234131400
6111143330143125520
74200461454110655
oct450162567365470
980061300786863
1020356364364600
1165390a3aa3740
1223492492a38a0
13b4879b593674
14505379068c2c
152547b09e7450
hex128395ddeb38

20356364364600 has 576 divisors, whose sum is σ = 72925234986240. Its totient is φ = 4649708236800.

The previous prime is 20356364364551. The next prime is 20356364364601. The reversal of 20356364364600 is 646346365302.

It is a self number, because there is not a number n which added to its sum of digits gives 20356364364600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20356364364601) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 681415264 + ... + 681445136.

It is an arithmetic number, because the mean of its divisors is an integer number (126606310740).

Almost surely, 220356364364600 is an apocalyptic number.

20356364364600 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 20356364364600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36462617493120).

20356364364600 is an abundant number, since it is smaller than the sum of its proper divisors (52568870621640).

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

20356364364600 is a wasteful number, since it uses less digits than its factorization.

20356364364600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30060 (or 29984 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 48.

The spelling of 20356364364600 in words is "twenty trillion, three hundred fifty-six billion, three hundred sixty-four million, three hundred sixty-four thousand, six hundred".