Search a number
-
+
38560000464 = 2432267777781
BaseRepresentation
bin100011111010010110…
…101110100111010000
310200112022102222111100
4203322112232213100
51112432330003324
625414134344400
72533360411266
oct437226564720
9120468388440
1038560000464
111539812a087
1275817bb100
13383693a52b
141c1b246436
15100a3904c9
hex8fa5ae9d0

38560000464 has 30 divisors (see below), whose sum is σ = 107914446146. Its totient is φ = 12853333440.

The previous prime is 38560000439. The next prime is 38560000469. The reversal of 38560000464 is 46400006583.

38560000464 is a `hidden beast` number, since 3 + 8 + 5 + 600 + 0 + 0 + 46 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 31435290000 + 7124710464 = 177300^2 + 84408^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38560000469) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 133888747 + ... + 133889034.

Almost surely, 238560000464 is an apocalyptic number.

It is an amenable number.

38560000464 is an abundant number, since it is smaller than the sum of its proper divisors (69354445682).

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

38560000464 is a wasteful number, since it uses less digits than its factorization.

38560000464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267777795 (or 267777786 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 38560000464 in words is "thirty-eight billion, five hundred sixty million, four hundred sixty-four", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 267777781 535555562 803333343 1071111124 1606666686 2142222248 2410000029 3213333372 4284444496 4820000058 6426666744 9640000116 12853333488 19280000232 38560000464