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5540132052 = 2234713414583
BaseRepresentation
bin1010010100011011…
…11011010011010100
3112022002201212110000
411022031323103110
542321233211202
62313424131300
7254201226330
oct51215732324
915262655400
105540132052
112393295234
1210a7466b30
136a3a25660
143a7b027c0
1522659a91c
hex14a37b4d4

5540132052 has 240 divisors, whose sum is σ = 18263976192. Its totient is φ = 1425185280.

The previous prime is 5540132051. The next prime is 5540132069. The reversal of 5540132052 is 2502310455.

It is a happy number.

5540132052 is a `hidden beast` number, since 55 + 401 + 3 + 205 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5540132051) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 1206553 + ... + 1211135.

Almost surely, 25540132052 is an apocalyptic number.

5540132052 is a gapful number since it is divisible by the number (52) 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 5540132052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9131988096).

5540132052 is an abundant number, since it is smaller than the sum of its proper divisors (12723844140).

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

5540132052 is a wasteful number, since it uses less digits than its factorization.

5540132052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4660 (or 4649 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The square root of 5540132052 is about 74432.0633329481. The cubic root of 5540132052 is about 1769.4571043989.

The spelling of 5540132052 in words is "five billion, five hundred forty million, one hundred thirty-two thousand, fifty-two".