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11076299640 = 233557162791
BaseRepresentation
bin10100101000011001…
…01110101101111000
31001120221000022200000
422110030232231320
5140141013042030
65031031313000
7541323664530
oct122414565570
931527008600
1011076299640
11477431194a
12219151b760
131076990673
147710924c0
1544c611860
hex29432eb78

11076299640 has 192 divisors, whose sum is σ = 42664527360. Its totient is φ = 2531710080.

The previous prime is 11076299639. The next prime is 11076299653. The reversal of 11076299640 is 4699267011.

11076299640 is a `hidden beast` number, since 1 + 10 + 7 + 629 + 9 + 6 + 4 + 0 = 666.

11076299640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 47 ways as a sum of consecutive naturals, for example, 13356 + ... + 149435.

It is an arithmetic number, because the mean of its divisors is an integer number (222211080).

Almost surely, 211076299640 is an apocalyptic number.

11076299640 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 11076299640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21332263680).

11076299640 is an abundant number, since it is smaller than the sum of its proper divisors (31588227720).

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

11076299640 is a wasteful number, since it uses less digits than its factorization.

11076299640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162824 (or 162808 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The spelling of 11076299640 in words is "eleven billion, seventy-six million, two hundred ninety-nine thousand, six hundred forty".