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36449682724 = 227213210492
BaseRepresentation
bin100001111100100100…
…100000010100100100
310111002020111201210001
4201330210200110210
51044122104321344
624424511111044
72430154122400
oct417444402444
9114066451701
1036449682724
1114504994134
127092b12484
13358b679300
141a9ac72100
15e34e8aed4
hex87c920524

36449682724 has 81 divisors (see below), whose sum is σ = 80424647667. Its totient is φ = 14405908608.

The previous prime is 36449682721. The next prime is 36449682749. The reversal of 36449682724 is 42728694463.

It is a happy number.

The square root of 36449682724 is 190918.

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

It can be written as a sum of positive squares in 4 ways, for example, as 261468900 + 36188213824 = 16170^2 + 190232^2 .

It is not an unprimeable number, because it can be changed into a prime (36449682721) 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 26 ways as a sum of consecutive naturals, for example, 34746552 + ... + 34747600.

Almost surely, 236449682724 is an apocalyptic number.

36449682724 is the 190918-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36449682724

36449682724 is an abundant number, since it is smaller than the sum of its proper divisors (43974964943).

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

36449682724 is a wasteful number, since it uses less digits than its factorization.

36449682724 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2142 (or 1071 counting only the distinct ones).

The product of its digits is 13934592, while the sum is 55.

The spelling of 36449682724 in words is "thirty-six billion, four hundred forty-nine million, six hundred eighty-two thousand, seven hundred twenty-four".

Divisors: 1 2 4 7 13 14 26 28 49 52 91 98 169 182 196 338 364 637 676 1049 1183 1274 2098 2366 2548 4196 4732 7343 8281 13637 14686 16562 27274 29372 33124 51401 54548 95459 102802 177281 190918 205604 354562 381836 668213 709124 1100401 1240967 1336426 2200802 2481934 2672852 4401604 4963868 7702807 8686769 14305213 15405614 17373538 28610426 30811228 34747076 53919649 57220852 100136491 107839298 185967769 200272982 215678596 371935538 400545964 700955437 743871076 1301774383 1401910874 2603548766 2803821748 5207097532 9112420681 18224841362 36449682724