Search a number
-
+
5705476397712 = 24337131307111043
BaseRepresentation
bin101001100000110100011…
…1001001101101010010000
3202012102211110102100112000
41103001220321031222100
51221434303424211322
620045020520034000
71126131011125560
oct123015071155220
922172743370460
105705476397712
1118aa751759883
12781914602900
13325040c9cc10
1415a20a11cda0
159d62c4853ac
hex53068e4da90

5705476397712 has 320 divisors, whose sum is σ = 20171702261760. Its totient is φ = 1503576193536.

The previous prime is 5705476397659. The next prime is 5705476397729. The reversal of 5705476397712 is 2177936745075.

5705476397712 is a `hidden beast` number, since 5 + 7 + 0 + 5 + 476 + 3 + 97 + 71 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 5705476397712.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 51325263 + ... + 51436305.

It is an arithmetic number, because the mean of its divisors is an integer number (63036569568).

Almost surely, 25705476397712 is an apocalyptic number.

5705476397712 is a gapful number since it is divisible by the number (52) 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 5705476397712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10085851130880).

5705476397712 is an abundant number, since it is smaller than the sum of its proper divisors (14466225864048).

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

5705476397712 is a wasteful number, since it uses less digits than its factorization.

5705476397712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112387 (or 112375 counting only the distinct ones).

The product of its (nonzero) digits is 77792400, while the sum is 63.

The spelling of 5705476397712 in words is "five trillion, seven hundred five billion, four hundred seventy-six million, three hundred ninety-seven thousand, seven hundred twelve".