Search a number
-
+
10350797436 = 223374179223
BaseRepresentation
bin10011010001111010…
…01010001001111100
3222201100211222202000
421220331022021330
5132144301004221
64431033302300
7514334220000
oct115075121174
928640758660
1010350797436
114431834351
12200a564990
13c8c592615
1470299a700
15408aa2e26
hex268f4a27c

10350797436 has 240 divisors, whose sum is σ = 31622169600. Its totient is φ = 2927661408.

The previous prime is 10350797407. The next prime is 10350797459. The reversal of 10350797436 is 63479705301.

10350797436 is a `hidden beast` number, since 10 + 3 + 507 + 97 + 43 + 6 = 666.

10350797436 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×103507974362 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10350797391 and 10350797400.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 46416021 + ... + 46416243.

It is an arithmetic number, because the mean of its divisors is an integer number (131759040).

Almost surely, 210350797436 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10350797436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15811084800).

10350797436 is an abundant number, since it is smaller than the sum of its proper divisors (21271372164).

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

10350797436 is a wasteful number, since it uses less digits than its factorization.

10350797436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 443 (or 414 counting only the distinct ones).

The product of its (nonzero) digits is 476280, while the sum is 45.

The spelling of 10350797436 in words is "ten billion, three hundred fifty million, seven hundred ninety-seven thousand, four hundred thirty-six".