Search a number
-
+
5797414411776 = 293313191697867
BaseRepresentation
bin101010001011101000011…
…0100111001111000000000
3202112020010210000101011000
41110113100310321320000
51224441101042134101
620155143450452000
71135564222266111
oct124272064717000
922466123011130
105797414411776
11193574032a589
127976b2434000
13330903475680
1416084c57c208
15a0c0da2d486
hex545d0d39e00

5797414411776 has 320 divisors, whose sum is σ = 19453492396800. Its totient is φ = 1689933570048.

The previous prime is 5797414411727. The next prime is 5797414411777. The reversal of 5797414411776 is 6771144147975.

5797414411776 is a `hidden beast` number, since 5 + 7 + 9 + 7 + 414 + 41 + 177 + 6 = 666.

It is a super-2 number, since 2×57974144117762 (a number of 26 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5797414411777) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2565595 + ... + 4263461.

It is an arithmetic number, because the mean of its divisors is an integer number (60792163740).

Almost surely, 25797414411776 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5797414411776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9726746198400).

5797414411776 is an abundant number, since it is smaller than the sum of its proper divisors (13656077985024).

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

5797414411776 is a wasteful number, since it uses less digits than its factorization.

5797414411776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1697926 (or 1697904 counting only the distinct ones).

The product of its digits is 41489280, while the sum is 63.

The spelling of 5797414411776 in words is "five trillion, seven hundred ninety-seven billion, four hundred fourteen million, four hundred eleven thousand, seven hundred seventy-six".