Search a number
-
+
10425051000 = 2333537134243
BaseRepresentation
bin10011011010110000…
…11010011101111000
3222220112120110111000
421231120122131320
5132322303113000
64442245005000
7516225320460
oct115530323570
928815513430
1010425051000
11446a740131
12202b3b3760
13ca1a90240
1470c7a8ba0
1541036e000
hex26d61a778

10425051000 has 512 divisors, whose sum is σ = 44490700800. Its totient is φ = 2199052800.

The previous prime is 10425050971. The next prime is 10425051011. The reversal of 10425051000 is 15052401.

10425051000 is a `hidden beast` number, since 104 + 2 + 50 + 510 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2454879 + ... + 2459121.

It is an arithmetic number, because the mean of its divisors is an integer number (86895900).

Almost surely, 210425051000 is an apocalyptic number.

10425051000 is a gapful number since it is divisible by the number (10) 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 10425051000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22245350400).

10425051000 is an abundant number, since it is smaller than the sum of its proper divisors (34065649800).

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

10425051000 is a wasteful number, since it uses less digits than its factorization.

10425051000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4293 (or 4273 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

The spelling of 10425051000 in words is "ten billion, four hundred twenty-five million, fifty-one thousand".