Search a number
-
+
25307043840 = 211345132347
BaseRepresentation
bin10111100100011010…
…101101100000000000
32102022200200000210000
4113210122231200000
5403312100400330
615343105440000
71554063215631
oct274432554000
972280600700
1025307043840
11a807191671
124aa3340000
13250402c470
141321071888
159d1b23560
hex5e46ad800

25307043840 has 480 divisors, whose sum is σ = 97727469840. Its totient is φ = 6226771968.

The previous prime is 25307043821. The next prime is 25307043851. The reversal of 25307043840 is 4834070352.

It is a happy number.

25307043840 is a `hidden beast` number, since 2 + 530 + 7 + 0 + 43 + 84 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a junction number, because it is equal to n+sod(n) for n = 25307043795 and 25307043804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 10781547 + ... + 10783893.

Almost surely, 225307043840 is an apocalyptic number.

25307043840 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 25307043840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48863734920).

25307043840 is an abundant number, since it is smaller than the sum of its proper divisors (72420426000).

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

25307043840 is a wasteful number, since it uses less digits than its factorization.

25307043840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2399 (or 2370 counting only the distinct ones).

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

The spelling of 25307043840 in words is "twenty-five billion, three hundred seven million, forty-three thousand, eight hundred forty".