Search a number
-
+
25421743620 = 223357134353227
BaseRepresentation
bin10111101011010000…
…010000011000000100
32102121200111101022000
4113223100100120010
5404030431243440
615402324105300
71556655153420
oct275320203004
972550441260
1025421743620
11a865a03279
124b15835230
132521a1ba60
1413323abb80
159dbc2d730
hex5eb410604

25421743620 has 768 divisors, whose sum is σ = 101931540480. Its totient is φ = 5117478912.

The previous prime is 25421743609. The next prime is 25421743637. The reversal of 25421743620 is 2634712452.

25421743620 is a `hidden beast` number, since 2 + 5 + 4 + 21 + 7 + 4 + 3 + 620 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 111989947 + ... + 111990173.

It is an arithmetic number, because the mean of its divisors is an integer number (132723360).

Almost surely, 225421743620 is an apocalyptic number.

25421743620 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 25421743620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50965770240).

25421743620 is an abundant number, since it is smaller than the sum of its proper divisors (76509796860).

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

25421743620 is a wasteful number, since it uses less digits than its factorization.

25421743620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 361 (or 353 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The spelling of 25421743620 in words is "twenty-five billion, four hundred twenty-one million, seven hundred forty-three thousand, six hundred twenty".