Search a number
-
+
10954622112 = 2537177271319
BaseRepresentation
bin10100011001111001…
…00100010010100000
31001021110001110110220
422030330210102200
5134413340401422
65011003323040
7535315515540
oct121474442240
931243043426
1010954622112
114711664805
122158820480
1310576ca025
1475cc5b320
15441ac8e5c
hex28cf244a0

10954622112 has 192 divisors, whose sum is σ = 34871316480. Its totient is φ = 2939498496.

The previous prime is 10954622111. The next prime is 10954622113. The reversal of 10954622112 is 21122645901.

It is an interprime number because it is at equal distance from previous prime (10954622111) and next prime (10954622113).

It is not an unprimeable number, because it can be changed into a prime (10954622111) 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 31 ways as a sum of consecutive naturals, for example, 8304589 + ... + 8305907.

It is an arithmetic number, because the mean of its divisors is an integer number (181621440).

Almost surely, 210954622112 is an apocalyptic number.

10954622112 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 10954622112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17435658240).

10954622112 is an abundant number, since it is smaller than the sum of its proper divisors (23916694368).

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

10954622112 is a wasteful number, since it uses less digits than its factorization.

10954622112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2083 (or 2075 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The spelling of 10954622112 in words is "ten billion, nine hundred fifty-four million, six hundred twenty-two thousand, one hundred twelve".