Search a number
-
+
47045708236800 = 2113125271319
BaseRepresentation
bin10101011001001101011101…
…01110100100100000000000
320011120112012022000000000000
422230212232232210200000
522131244102302034200
6244020300000000000
712623640335650440
oct1254465656444000
9204515168000000
1047045708236800
1113a98a77903229
125339934600000
132033511768750
14b8904b060120
15568b78107300
hex2ac9aeba4800

47045708236800 has 3744 divisors, whose sum is σ = 226678151044800. Its totient is φ = 9403699691520.

The previous prime is 47045708236741. The next prime is 47045708236817. The reversal of 47045708236800 is 863280754074.

47045708236800 is a `hidden beast` number, since 4 + 7 + 0 + 4 + 570 + 8 + 2 + 3 + 68 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3744).

It is a super-2 number, since 2×470457082368002 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

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 311 ways as a sum of consecutive naturals, for example, 2476089907191 + ... + 2476089907209.

It is an arithmetic number, because the mean of its divisors is an integer number (60544377950).

Almost surely, 247045708236800 is an apocalyptic number.

47045708236800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47045708236800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113339075522400).

47045708236800 is an abundant number, since it is smaller than the sum of its proper divisors (179632442808000).

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

47045708236800 is an frugal number, since it uses more digits than its factorization.

47045708236800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 9031680, while the sum is 54.

The spelling of 47045708236800 in words is "forty-seven trillion, forty-five billion, seven hundred eight million, two hundred thirty-six thousand, eight hundred".