Search a number
-
+
39125078064 = 2432271701931
BaseRepresentation
bin100100011100000010…
…010101000000110000
310201222200201220020100
4210130002111000300
51120112004444224
625550202112400
72553361450662
oct443402250060
9121880656210
1039125078064
11156580a5266
1276baaab700
1338c6a29787
141c722dc532
15103ecb0ac9
hex91c095030

39125078064 has 30 divisors (see below), whose sum is σ = 109495878596. Its totient is φ = 13041692640.

The previous prime is 39125078059. The next prime is 39125078093. The reversal of 39125078064 is 46087052193.

39125078064 is a `hidden beast` number, since 3 + 9 + 1 + 2 + 507 + 80 + 64 = 666.

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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 135850822 + ... + 135851109.

It is a 1-persistent number, because it is pandigital, but 2⋅39125078064 = 78250156128 is not.

Almost surely, 239125078064 is an apocalyptic number.

It is an amenable number.

39125078064 is an abundant number, since it is smaller than the sum of its proper divisors (70370800532).

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

39125078064 is a wasteful number, since it uses less digits than its factorization.

39125078064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271701945 (or 271701936 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 39125078064 in words is "thirty-nine billion, one hundred twenty-five million, seventy-eight thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 271701931 543403862 815105793 1086807724 1630211586 2173615448 2445317379 3260423172 4347230896 4890634758 6520846344 9781269516 13041692688 19562539032 39125078064