Search a number
-
+
2169770497056 = 253231340076007
BaseRepresentation
bin11111100100110000011…
…001100101010000100000
321200102120000222200020100
4133210300121211100200
5241022142221401211
64340440115542400
7312521635630311
oct37446031452040
97612500880210
102169770497056
11767215974aa8
122b06238baa00
131297baaa44a6
1477035c64608
153b6925e2156
hex1f930665420

2169770497056 has 144 divisors (see below), whose sum is σ = 6192573738624. Its totient is φ = 720646198272.

The previous prime is 2169770497051. The next prime is 2169770497057. The reversal of 2169770497056 is 6507940779612.

2169770497056 is a `hidden beast` number, since 2 + 1 + 6 + 97 + 7 + 0 + 497 + 0 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 2169770496984 and 2169770497002.

It is not an unprimeable number, because it can be changed into a prime (2169770497051) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 361204005 + ... + 361210011.

It is an arithmetic number, because the mean of its divisors is an integer number (43003984296).

Almost surely, 22169770497056 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 2169770497056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3096286869312).

2169770497056 is an abundant number, since it is smaller than the sum of its proper divisors (4022803241568).

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

2169770497056 is a wasteful number, since it uses less digits than its factorization.

2169770497056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10343 (or 10332 counting only the distinct ones).

The product of its (nonzero) digits is 40007520, while the sum is 63.

The spelling of 2169770497056 in words is "two trillion, one hundred sixty-nine billion, seven hundred seventy million, four hundred ninety-seven thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 313 626 939 1252 1878 2504 2817 3756 4007 5008 5634 6007 7512 8014 10016 11268 12014 12021 15024 16028 18021 22536 24028 24042 30048 32056 36042 36063 45072 48056 48084 54063 64112 72084 72126 90144 96112 96168 108126 128224 144168 144252 192224 192336 216252 288336 288504 384672 432504 576672 577008 865008 1154016 1254191 1730016 1880191 2508382 3760382 3762573 5016764 5640573 7520764 7525146 10033528 11281146 11287719 15041528 15050292 16921719 20067056 22562292 22575438 24070049 30083056 30100584 33843438 40134112 45124584 45150876 48140098 60166112 60201168 67686876 72210147 90249168 90301752 96280196 120402336 135373752 144420294 180498336 180603504 192560392 216630441 270747504 288840588 361207008 385120784 433260882 541495008 577681176 770241568 866521764 1155362352 1733043528 2310724704 3466087056 6932174112 7533925337 15067850674 22601776011 30135701348 45203552022 60271402696 67805328033 90407104044 120542805392 135610656066 180814208088 241085610784 271221312132 361628416176 542442624264 723256832352 1084885248528 2169770497056