Search a number
-
+
37349441424 = 2432259371121
BaseRepresentation
bin100010110010001100…
…110011111110010000
310120101221120012200100
4202302030303332100
51102442424111144
625054052052400
72461361004531
oct426214637620
9116357505610
1037349441424
1114926871169
1272a4304100
1336a2bb9bc9
141b44568688
15e88e6b269
hex8b2333f90

37349441424 has 30 divisors (see below), whose sum is σ = 104526562166. Its totient is φ = 12449813760.

The previous prime is 37349441401. The next prime is 37349441429. The reversal of 37349441424 is 42414494373.

It can be written as a sum of positive squares in only one way, i.e., 28889121024 + 8460320400 = 169968^2 + 91980^2 .

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 37349441424.

It is not an unprimeable number, because it can be changed into a prime (37349441429) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 129685417 + ... + 129685704.

Almost surely, 237349441424 is an apocalyptic number.

It is an amenable number.

37349441424 is an abundant number, since it is smaller than the sum of its proper divisors (67177120742).

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

37349441424 is a wasteful number, since it uses less digits than its factorization.

37349441424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259371135 (or 259371126 counting only the distinct ones).

The product of its digits is 1161216, while the sum is 45.

The spelling of 37349441424 in words is "thirty-seven billion, three hundred forty-nine million, four hundred forty-one thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 259371121 518742242 778113363 1037484484 1556226726 2074968968 2334340089 3112453452 4149937936 4668680178 6224906904 9337360356 12449813808 18674720712 37349441424