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11338899264 = 2633711312749
BaseRepresentation
bin10101000111101100…
…11101111101000000
31002021020010202122000
422203312131331000
5141210224234024
65113051544000
7550663024230
oct124366357500
932236122560
1011338899264
114899570930
12224545b000
1310b91c4c64
14797ccbcc0
154656d3cc9
hex2a3d9df40

11338899264 has 448 divisors, whose sum is σ = 42915840000. Its totient is φ = 2849126400.

The previous prime is 11338899263. The next prime is 11338899277. The reversal of 11338899264 is 46299883311.

11338899264 is a `hidden beast` number, since 113 + 388 + 9 + 92 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 11338899264.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11338899263) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4123362 + ... + 4126110.

Almost surely, 211338899264 is an apocalyptic number.

11338899264 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 11338899264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21457920000).

11338899264 is an abundant number, since it is smaller than the sum of its proper divisors (31576940736).

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

11338899264 is a wasteful number, since it uses less digits than its factorization.

11338899264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2819 (or 2803 counting only the distinct ones).

The product of its digits is 2239488, while the sum is 54.

The spelling of 11338899264 in words is "eleven billion, three hundred thirty-eight million, eight hundred ninety-nine thousand, two hundred sixty-four".