Search a number
-
+
47307016251045 = 3253728412622373
BaseRepresentation
bin10101100000110100001011…
…11001100010011010100101
320012111111200022010111110200
422300122011321202122211
522200034232130013140
6244340313201341113
712651550651301655
oct1260320571423245
9205444608114420
1047307016251045
111408987a4229a1
125380500037799
1320520564c7815
14b97959600365
1557086da54030
hex2b0685e626a5

47307016251045 has 24 divisors (see below), whose sum is σ = 84215012716536. Its totient is φ = 24548505729408.

The previous prime is 47307016251023. The next prime is 47307016251109. The reversal of 47307016251045 is 54015261070374.

47307016251045 is a `hidden beast` number, since 4 + 7 + 3 + 0 + 7 + 0 + 1 + 625 + 10 + 4 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 10512807583716 + 36794208667329 = 3242346^2 + 6065823^2 .

It is not a de Polignac number, because 47307016251045 - 25 = 47307016251013 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14206309522 + ... + 14206312851.

It is an arithmetic number, because the mean of its divisors is an integer number (3508958863189).

Almost surely, 247307016251045 is an apocalyptic number.

47307016251045 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

47307016251045 is a deficient number, since it is larger than the sum of its proper divisors (36907996465491).

47307016251045 is a wasteful number, since it uses less digits than its factorization.

47307016251045 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28412622421 (or 28412622418 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 45.

The spelling of 47307016251045 in words is "forty-seven trillion, three hundred seven billion, sixteen million, two hundred fifty-one thousand, forty-five".

Divisors: 1 3 5 9 15 37 45 111 185 333 555 1665 28412622373 85237867119 142063111865 255713601357 426189335595 1051267027801 1278568006785 3153801083403 5256335139005 9461403250209 15769005417015 47307016251045