Search a number
-
+
10720772496 = 243471937412
BaseRepresentation
bin10011111110000001…
…00000000110010000
31000200011000200010000
421333000200012100
5133424004204441
64531451210000
7526446030330
oct117700400620
930604020100
1010720772496
114601662065
1220b2446900
13101b120785
14739b870c0
1542b2d52b6
hex27f020190

10720772496 has 600 divisors, whose sum is σ = 39294875840. Its totient is φ = 2754570240.

The previous prime is 10720772479. The next prime is 10720772527. The reversal of 10720772496 is 69427702701.

It is a super-2 number, since 2×107207724962 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 261482236 + ... + 261482276.

Almost surely, 210720772496 is an apocalyptic number.

10720772496 is a gapful number since it is divisible by the number (16) 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 10720772496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19647437920).

10720772496 is an abundant number, since it is smaller than the sum of its proper divisors (28574103344).

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

10720772496 is a wasteful number, since it uses less digits than its factorization.

10720772496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 296352, while the sum is 45.

The spelling of 10720772496 in words is "ten billion, seven hundred twenty million, seven hundred seventy-two thousand, four hundred ninety-six".