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3630568552 = 23131714332
BaseRepresentation
bin1101100001100110…
…0001010001101000
3100101000112222202221
43120121201101220
524413411143202
61400131403424
7155653215652
oct33031412150
910330488687
103630568552
1115a33a7986
12853a53574
1345b223b20
142662696d2
15163aee037
hexd8661468

3630568552 has 48 divisors (see below), whose sum is σ = 7767608940. Its totient is φ = 1575979008.

The previous prime is 3630568541. The next prime is 3630568553. The reversal of 3630568552 is 2558650363.

It can be written as a sum of positive squares in 6 ways, for example, as 2875747876 + 754820676 = 53626^2 + 27474^2 .

It is a junction number, because it is equal to n+sod(n) for n = 3630568499 and 3630568508.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3630568553) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 2532828 + ... + 2534260.

Almost surely, 23630568552 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3630568552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3883804470).

3630568552 is an abundant number, since it is smaller than the sum of its proper divisors (4137040388).

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

3630568552 is a wasteful number, since it uses less digits than its factorization.

3630568552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2902 (or 1465 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 43.

The square root of 3630568552 is about 60254.1994553077. The cubic root of 3630568552 is about 1536.9446014924.

The spelling of 3630568552 in words is "three billion, six hundred thirty million, five hundred sixty-eight thousand, five hundred fifty-two".

Divisors: 1 2 4 8 13 17 26 34 52 68 104 136 221 442 884 1433 1768 2866 5732 11464 18629 24361 37258 48722 74516 97444 149032 194888 316693 633386 1266772 2053489 2533544 4106978 8213956 16427912 26695357 34909313 53390714 69818626 106781428 139637252 213562856 279274504 453821069 907642138 1815284276 3630568552