Search a number
-
+
23695490520000 = 2634541319291021
BaseRepresentation
bin1010110001101000010010…
…10010111001001111000000
310002220021012110211212020000
411120310021102321033000
511101211331033120000
6122221320313120000
74663641226116345
oct530641122711700
9102807173755200
1023695490520000
117606223727332
1227a84179b9000
13102b623c380c0
145bcc215a27cc
152b1592820000
hex158d094b93c0

23695490520000 has 2800 divisors, whose sum is σ = 103031567469600. Its totient is φ = 5329981440000.

The previous prime is 23695490519983. The next prime is 23695490520001. The reversal of 23695490520000 is 2509459632.

23695490520000 is a `hidden beast` number, since 2 + 36 + 9 + 5 + 4 + 90 + 520 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×236954905200002 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23695490520001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 399 ways as a sum of consecutive naturals, for example, 23208119490 + ... + 23208120510.

It is an arithmetic number, because the mean of its divisors is an integer number (36796988382).

Almost surely, 223695490520000 is an apocalyptic number.

23695490520000 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 23695490520000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51515783734800).

23695490520000 is an abundant number, since it is smaller than the sum of its proper divisors (79336076949600).

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

23695490520000 is a wasteful number, since it uses less digits than its factorization.

23695490520000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1126 (or 1092 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 45.

Adding to 23695490520000 its reverse (2509459632), we get a palindrome (23697999979632).

The spelling of 23695490520000 in words is "twenty-three trillion, six hundred ninety-five billion, four hundred ninety million, five hundred twenty thousand".