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5661659536 = 2413214472
BaseRepresentation
bin1010100010111011…
…00001000110010000
3112121120102002210221
411101131201012100
543043341101121
62333445002424
7260205212011
oct52135410620
915546362727
105661659536
11244594a675
1211200b3414
136c2c65900
143b9cd9008
152320a3b41
hex151761190

5661659536 has 45 divisors (see below), whose sum is σ = 11886392961. Its totient is φ = 2611267776.

The previous prime is 5661659533. The next prime is 5661659587. The reversal of 5661659536 is 6359561665.

It is a happy number.

The square root of 5661659536 is 75244.

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

It can be written as a sum of positive squares in only one way, i.e., 837523600 + 4824135936 = 28940^2 + 69456^2 .

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (5661659533) 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 8 ways as a sum of consecutive naturals, for example, 3911965 + ... + 3913411.

Almost surely, 25661659536 is an apocalyptic number.

5661659536 is the 75244-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5661659536

5661659536 is an abundant number, since it is smaller than the sum of its proper divisors (6224733425).

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

5661659536 is an equidigital number, since it uses as much as digits as its factorization.

5661659536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2928 (or 1462 counting only the distinct ones).

The product of its digits is 4374000, while the sum is 52.

The cubic root of 5661659536 is about 1782.3018169586.

The spelling of 5661659536 in words is "five billion, six hundred sixty-one million, six hundred fifty-nine thousand, five hundred thirty-six".

Divisors: 1 2 4 8 13 16 26 52 104 169 208 338 676 1352 1447 2704 2894 5788 11576 18811 23152 37622 75244 150488 244543 300976 489086 978172 1956344 2093809 3912688 4187618 8375236 16750472 27219517 33500944 54439034 108878068 217756136 353853721 435512272 707707442 1415414884 2830829768 5661659536