Search a number
-
+
37082653842 = 2313538970163
BaseRepresentation
bin100010100010010011…
…000110010010010010
310112201100112222220210
4202202103012102102
51101421124410332
625011401544550
72451641233263
oct424223062222
9115640488823
1037082653842
11147aa211763
12722aaa5156
13365c84a330
141b1ad5c96a
15e7081cecc
hex8a24c6492

37082653842 has 32 divisors (see below), whose sum is σ = 81377327808. Its totient is φ = 11194762176.

The previous prime is 37082653841. The next prime is 37082653963. The reversal of 37082653842 is 24835628073.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 37082653791 and 37082653800.

It is not an unprimeable number, because it can be changed into a prime (37082653841) 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 15 ways as a sum of consecutive naturals, for example, 4480948 + ... + 4489215.

It is an arithmetic number, because the mean of its divisors is an integer number (2543041494).

Almost surely, 237082653842 is an apocalyptic number.

37082653842 is an abundant number, since it is smaller than the sum of its proper divisors (44294673966).

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

37082653842 is a wasteful number, since it uses less digits than its factorization.

37082653842 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8970234.

The product of its (nonzero) digits is 1935360, while the sum is 48.

The spelling of 37082653842 in words is "thirty-seven billion, eighty-two million, six hundred fifty-three thousand, eight hundred forty-two".

Divisors: 1 2 3 6 13 26 39 53 78 106 159 318 689 1378 2067 4134 8970163 17940326 26910489 53820978 116612119 233224238 349836357 475418639 699672714 950837278 1426255917 2852511834 6180442307 12360884614 18541326921 37082653842