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11246740680 = 23357219100669
BaseRepresentation
bin10100111100101101…
…11010010011001000
31002000210201121211010
422132112322103020
5141013131200210
65100000403520
7545463501300
oct123626722310
932023647733
1011246740680
11485154580a
12221a6165a0
1310a3098656
1478997c600
1545c57c920
hex29e5ba4c8

11246740680 has 192 divisors, whose sum is σ = 41314968000. Its totient is φ = 2435360256.

The previous prime is 11246740619. The next prime is 11246740733. The reversal of 11246740680 is 8604764211.

11246740680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 47 ways as a sum of consecutive naturals, for example, 61386 + ... + 162054.

It is an arithmetic number, because the mean of its divisors is an integer number (215182125).

Almost surely, 211246740680 is an apocalyptic number.

11246740680 is a gapful number since it is divisible by the number (10) 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 11246740680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20657484000).

11246740680 is an abundant number, since it is smaller than the sum of its proper divisors (30068227320).

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

11246740680 is a wasteful number, since it uses less digits than its factorization.

11246740680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100716 (or 100705 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 39.

The spelling of 11246740680 in words is "eleven billion, two hundred forty-six million, seven hundred forty thousand, six hundred eighty".