Search a number
-
+
10395738990 = 2335713523809
BaseRepresentation
bin10011010111010001…
…00110001101101110
3222211111102020222000
421223220212031232
5132242302121430
64435320433130
7515421215640
oct115350461556
928744366860
1010395738990
11445513a62a
1220216187a6
13c98999460
14708938890
1540c9cde60
hex26ba2636e

10395738990 has 256 divisors, whose sum is σ = 34226841600. Its totient is φ = 2186486784.

The previous prime is 10395738979. The next prime is 10395739001. The reversal of 10395738990 is 9983759301.

It is an interprime number because it is at equal distance from previous prime (10395738979) and next prime (10395739001).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 12849706 + ... + 12850514.

It is an arithmetic number, because the mean of its divisors is an integer number (133698600).

Almost surely, 210395738990 is an apocalyptic number.

10395738990 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10395738990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17113420800).

10395738990 is an abundant number, since it is smaller than the sum of its proper divisors (23831102610).

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

10395738990 is a wasteful number, since it uses less digits than its factorization.

10395738990 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1368 (or 1362 counting only the distinct ones).

The product of its (nonzero) digits is 1837080, while the sum is 54.

The spelling of 10395738990 in words is "ten billion, three hundred ninety-five million, seven hundred thirty-eight thousand, nine hundred ninety".