Search a number
-
+
10253501412 = 223711107137757
BaseRepresentation
bin10011000110010100…
…00000001111100100
3222110120202211200120
421203022000033210
5131444344021122
64413240041540
7512043216060
oct114312001744
928416684616
1010253501412
11439191a410
121ba1a632b0
13c753877cb
146d3ab0aa0
1540028475c
hex2632803e4

10253501412 has 192 divisors, whose sum is σ = 30366959616. Its totient is φ = 2615639040.

The previous prime is 10253501389. The next prime is 10253501413. The reversal of 10253501412 is 21410535201.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (10253501413) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 13544538 + ... + 13545294.

It is an arithmetic number, because the mean of its divisors is an integer number (158161248).

Almost surely, 210253501412 is an apocalyptic number.

10253501412 is a gapful number since it is divisible by the number (12) 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 10253501412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15183479808).

10253501412 is an abundant number, since it is smaller than the sum of its proper divisors (20113458204).

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

10253501412 is a wasteful number, since it uses less digits than its factorization.

10253501412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1026 (or 1024 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

The spelling of 10253501412 in words is "ten billion, two hundred fifty-three million, five hundred one thousand, four hundred twelve".