Search a number
-
+
997974479799 = 321119530555279
BaseRepresentation
bin11101000010110111110…
…10100001001110110111
310112101221120001100010100
432201123322201032313
5112322322431323144
62042244012325143
7132046511054223
oct16413372411667
93471846040110
10997974479799
11355269638660
121414b77737b3
137315475758b
1436433427783
151ae5da12269
hexe85bea13b7

997974479799 has 24 divisors (see below), whose sum is σ = 1655332473600. Its totient is φ = 572999700240.

The previous prime is 997974479759. The next prime is 997974479809.

997974479799 is a `hidden beast` number, since 9 + 9 + 7 + 97 + 447 + 9 + 79 + 9 = 666.

997974479799 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 997974479799 - 29 = 997974479287 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (997974479759) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 265275759 + ... + 265279520.

It is an arithmetic number, because the mean of its divisors is an integer number (68972186400).

Almost surely, 2997974479799 is an apocalyptic number.

997974479799 is a gapful number since it is divisible by the number (99) formed by its first and last digit.

997974479799 is a deficient number, since it is larger than the sum of its proper divisors (657357993801).

997974479799 is a wasteful number, since it uses less digits than its factorization.

997974479799 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 530555315 (or 530555312 counting only the distinct ones).

The product of its digits is 20415837456, while the sum is 90.

The spelling of 997974479799 in words is "nine hundred ninety-seven billion, nine hundred seventy-four million, four hundred seventy-nine thousand, seven hundred ninety-nine".

Divisors: 1 3 9 11 19 33 57 99 171 209 627 1881 530555279 1591665837 4774997511 5836108069 10080550301 17508324207 30241650903 52524972621 90724952709 110886053311 332658159933 997974479799