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5683652100 = 223252723592
BaseRepresentation
bin1010100101100010…
…11010011000000100
3112200002210102221100
411102301122120010
543120003331400
62335552220100
7260563150200
oct52261323004
915602712840
105683652100
112457300a45
12112753a630
136c7695c69
143bcbc1b00
15233e9a100
hex152c5a604

5683652100 has 243 divisors, whose sum is σ = 20781565077. Its totient is φ = 1295501760.

The previous prime is 5683652089. The next prime is 5683652111. The reversal of 5683652100 is 12563865.

The square root of 5683652100 is 75390.

It is a perfect power (a square), and thus also a powerful number.

5683652100 is a `hidden beast` number, since 56 + 83 + 6 + 521 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (5683652089) and next prime (5683652111).

It can be written as a sum of positive squares in only one way, i.e., 2046114756 + 3637537344 = 45234^2 + 60312^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 15831721 + ... + 15832079.

Almost surely, 25683652100 is an apocalyptic number.

5683652100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

5683652100 is the 75390-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5683652100

5683652100 is an abundant number, since it is smaller than the sum of its proper divisors (15097912977).

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

5683652100 is a wasteful number, since it uses less digits than its factorization.

5683652100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 752 (or 376 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The cubic root of 5683652100 is about 1784.6066030402.

Multiplying 5683652100 by its sum of digits (36), we get a square (204611475600 = 4523402).

5683652100 divided by its sum of digits (36) gives a square (157879225 = 125652).

The spelling of 5683652100 in words is "five billion, six hundred eighty-three million, six hundred fifty-two thousand, one hundred".