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11783331252 = 22337211712851
BaseRepresentation
bin10101111100101011…
…10101110110110100
31010102012102020201000
422332111311312310
5143113013100002
65225125403300
7565000443300
oct127625656664
933365366630
1011783331252
114aa74241a0
12234a269530
13115a2c2474
147dad3ad00
1548e72261c
hex2be575db4

11783331252 has 288 divisors, whose sum is σ = 39327482880. Its totient is φ = 3016440000.

The previous prime is 11783331247. The next prime is 11783331277. The reversal of 11783331252 is 25213338711.

It is a happy number.

11783331252 is a `hidden beast` number, since 1 + 1 + 78 + 3 + 331 + 252 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4131627 + ... + 4134477.

It is an arithmetic number, because the mean of its divisors is an integer number (136553760).

Almost surely, 211783331252 is an apocalyptic number.

11783331252 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 11783331252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19663741440).

11783331252 is an abundant number, since it is smaller than the sum of its proper divisors (27544151628).

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

11783331252 is a wasteful number, since it uses less digits than its factorization.

11783331252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2960 (or 2945 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

Adding to 11783331252 its reverse (25213338711), we get a palindrome (36996669963).

The spelling of 11783331252 in words is "eleven billion, seven hundred eighty-three million, three hundred thirty-one thousand, two hundred fifty-two".