Search a number
-
+
20559994076160 = 2103557211233143
BaseRepresentation
bin1001010110010111111110…
…01001001011110000000000
32200210111221100010001200000
410223023333021023300000
510143323331440414120
6111421044134400000
74221260551104300
oct453137711136000
980714840101600
1020559994076160
116607498726960
1223807b8500000
13b61a50896556
14511175231600
15259c2c94b990
hex12b2ff24bc00

20559994076160 has 6336 divisors, whose sum is σ = 103333341855744. Its totient is φ = 3862668902400.

The previous prime is 20559994076123. The next prime is 20559994076189. The reversal of 20559994076160 is 6167049995502.

20559994076160 is a `hidden beast` number, since 2 + 0 + 5 + 5 + 9 + 9 + 9 + 4 + 0 + 7 + 616 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (6336).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 478139397099 + ... + 478139397141.

It is an arithmetic number, because the mean of its divisors is an integer number (16308923904).

Almost surely, 220559994076160 is an apocalyptic number.

20559994076160 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 20559994076160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51666670927872).

20559994076160 is an abundant number, since it is smaller than the sum of its proper divisors (82773347779584).

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

20559994076160 is a wasteful number, since it uses less digits than its factorization.

20559994076160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 36741600, while the sum is 63.

The spelling of 20559994076160 in words is "twenty trillion, five hundred fifty-nine billion, nine hundred ninety-four million, seventy-six thousand, one hundred sixty".