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11049682644 = 2232711131721061
BaseRepresentation
bin10100100101001110…
…01100011011010100
31001112001221001000100
422102213030123110
5140112204321034
65024241014100
7540551516130
oct122247143324
931461831010
1011049682644
114760292130
122184624330
131071301470
1476b7243c0
1544a105099
hex2929cc6d4

11049682644 has 432 divisors, whose sum is σ = 39875262336. Its totient is φ = 2491084800.

The previous prime is 11049682619. The next prime is 11049682667. The reversal of 11049682644 is 44628694011.

11049682644 is a `hidden beast` number, since 110 + 496 + 8 + 2 + 6 + 44 = 666.

It is a super-2 number, since 2×110496826442 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 11049682644.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 10413874 + ... + 10414934.

It is an arithmetic number, because the mean of its divisors is an integer number (92303848).

Almost surely, 211049682644 is an apocalyptic number.

11049682644 is a gapful number since it is divisible by the number (14) 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 11049682644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19937631168).

11049682644 is an abundant number, since it is smaller than the sum of its proper divisors (28825579692).

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

11049682644 is a wasteful number, since it uses less digits than its factorization.

11049682644 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1136 (or 1114 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 11049682644 in words is "eleven billion, forty-nine million, six hundred eighty-two thousand, six hundred forty-four".