Search a number
-
+
74113466431147 = 11136173553115513
BaseRepresentation
bin10000110110011111100010…
…110101101111011010101011
3100201102011210220102101200121
4100312133202311233122223
534203233334401244042
6421343131220544111
721416343534264643
oct2066374265573253
9321364726371617
1074113466431147
1121684387736930
12838b829b52037
133247b40214410
14144317a4c9523
15887cdc074367
hex4367e2d6f6ab

74113466431147 has 32 divisors (see below), whose sum is σ = 88499718530496. Its totient is φ = 61172198092800.

The previous prime is 74113466431099. The next prime is 74113466431163.

74113466431147 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 74113466431147 - 211 = 74113466429099 is a prime.

It is a Smith number, since the sum of its digits (52) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a junction number, because it is equal to n+sod(n) for n = 74113466431094 and 74113466431103.

It is not an unprimeable number, because it can be changed into a prime (74113466431847) 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, 641545063 + ... + 641660575.

It is an arithmetic number, because the mean of its divisors is an integer number (2765616204078).

Almost surely, 274113466431147 is an apocalyptic number.

74113466431147 is a deficient number, since it is larger than the sum of its proper divisors (14386252099349).

74113466431147 is a wasteful number, since it uses less digits than its factorization.

74113466431147 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189151.

The product of its digits is 4064256, while the sum is 52.

The spelling of 74113466431147 in words is "seventy-four trillion, one hundred thirteen billion, four hundred sixty-six million, four hundred thirty-one thousand, one hundred forty-seven".

Divisors: 1 11 13 61 143 671 793 8723 73553 115513 809083 956189 1270643 1501669 4486733 7046293 10518079 16518359 49354063 58327529 77509223 91601809 641602819 1007619899 8496327689 93459604579 110452259957 518275989029 1214974859527 5701035879319 6737587857377 74113466431147