Search a number
-
+
425189412810 = 23551729311072
BaseRepresentation
bin1100010111111110100…
…00111000111111001010
31111122111011220010100000
412023333100320333022
523431241442202220
6523155044423430
742501406243221
oct6137720707712
91448434803300
10425189412810
1115435a380038
126a4a30a7b76
1331131192c36
1416817773cb8
15b0d8033390
hex62ff438fca

425189412810 has 576 divisors, whose sum is σ = 1308466897920. Its totient is φ = 98778839040.

The previous prime is 425189412799. The next prime is 425189412829. The reversal of 425189412810 is 18214981524.

425189412810 is a `hidden beast` number, since 4 + 2 + 518 + 9 + 4 + 128 + 1 + 0 = 666.

It is a super-2 number, since 2×4251894128102 (a number of 24 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 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 287 ways as a sum of consecutive naturals, for example, 3973732777 + ... + 3973732883.

It is an arithmetic number, because the mean of its divisors is an integer number (2271643920).

Almost surely, 2425189412810 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 425189412810, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (654233448960).

425189412810 is an abundant number, since it is smaller than the sum of its proper divisors (883277485110).

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

425189412810 is a wasteful number, since it uses less digits than its factorization.

425189412810 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 45.

The spelling of 425189412810 in words is "four hundred twenty-five billion, one hundred eighty-nine million, four hundred twelve thousand, eight hundred ten".