Search a number
-
+
20959156540896 = 2537197593266983
BaseRepresentation
bin1001100001111111011110…
…00101001001010111100000
32202012200020122201020021020
410300333233011021113200
510221343323033302041
6112324300435325440
74262151303060450
oct460775705112740
982180218636236
1020959156540896
116750801510652
122426037150880
13b9059483bca2
14526600097d60
152652e0a56866
hex130fef1495e0

20959156540896 has 192 divisors, whose sum is σ = 63303452771328. Its totient is φ = 5947863441408.

The previous prime is 20959156540853. The next prime is 20959156540909. The reversal of 20959156540896 is 69804565195902.

It is a self number, because there is not a number n which added to its sum of digits gives 20959156540896.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 78370221 + ... + 78637203.

It is an arithmetic number, because the mean of its divisors is an integer number (329705483184).

Almost surely, 220959156540896 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 20959156540896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31651726385664).

20959156540896 is an abundant number, since it is smaller than the sum of its proper divisors (42344296230432).

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

20959156540896 is a wasteful number, since it uses less digits than its factorization.

20959156540896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267793 (or 267785 counting only the distinct ones).

The product of its (nonzero) digits is 209952000, while the sum is 69.

The spelling of 20959156540896 in words is "twenty trillion, nine hundred fifty-nine billion, one hundred fifty-six million, five hundred forty thousand, eight hundred ninety-six".