Search a number
-
+
20254365235224 = 23322500271125121
BaseRepresentation
bin1001001101011110101100…
…01111101011100000011000
32122201022001112112021202200
410212233112033223200120
510123321420000011344
6111024421003530200
74160221023604641
oct446572617534030
978638045467680
1020254365235224
1164a99121660aa
122331521b29960
13b3bc94852c43
145004606d86c8
15251ce101d069
hex126bd63eb818

20254365235224 has 48 divisors (see below), whose sum is σ = 54855840666120. Its totient is φ = 6751422074880.

The previous prime is 20254365235217. The next prime is 20254365235243. The reversal of 20254365235224 is 42253256345202.

20254365235224 is a `hidden beast` number, since 2 + 0 + 2 + 5 + 43 + 65 + 23 + 522 + 4 = 666.

It is a Cunningham number, because it is equal to 45004852-1.

It is a super-2 number, since 2×202543652352242 (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 20254365235224.

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 11 ways as a sum of consecutive naturals, for example, 17439384 + ... + 18564504.

Almost surely, 220254365235224 is an apocalyptic number.

20254365235224 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

20254365235224 is an abundant number, since it is smaller than the sum of its proper divisors (34601475430896).

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

20254365235224 is a wasteful number, since it uses less digits than its factorization.

20254365235224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1375160 (or 1375153 counting only the distinct ones).

The product of its (nonzero) digits is 3456000, while the sum is 45.

The spelling of 20254365235224 in words is "twenty trillion, two hundred fifty-four billion, three hundred sixty-five million, two hundred thirty-five thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 250027 500054 750081 1000108 1125121 1500162 2000216 2250242 2250243 3000324 3375363 4500484 4500486 6000648 6750726 9000968 9000972 10126089 13501452 18001944 20252178 27002904 40504356 81008712 281310628267 562621256534 843931884801 1125242513068 1687863769602 2250485026136 2531795654403 3375727539204 5063591308806 6751455078408 10127182617612 20254365235224