Search a number
-
+
2743053656301 = 33714513511409
BaseRepresentation
bin100111111010101010101…
…111010010000011101101
3100201020022010101121011000
4213322222233102003231
5324420233214000201
65500050315350513
7402115266241320
oct47725257220355
910636263347130
102743053656301
11968360306712
12383757152439
1316b89060378a
1496a9bb347b7
154b546badd86
hex27eaabd20ed

2743053656301 has 16 divisors (see below), whose sum is σ = 4644323651200. Its totient is φ = 1567459232064.

The previous prime is 2743053656279. The next prime is 2743053656323. The reversal of 2743053656301 is 1036563503472.

It is a happy number.

2743053656301 is a `hidden beast` number, since 2 + 7 + 4 + 3 + 0 + 5 + 3 + 6 + 5 + 630 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (2743053656279) and next prime (2743053656323).

It is not a de Polignac number, because 2743053656301 - 215 = 2743053623533 is a prime.

It is a super-2 number, since 2×27430536563012 (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2743053656381) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7256755516 + ... + 7256755893.

It is an arithmetic number, because the mean of its divisors is an integer number (290270228200).

Almost surely, 22743053656301 is an apocalyptic number.

2743053656301 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2743053656301 is a deficient number, since it is larger than the sum of its proper divisors (1901269994899).

2743053656301 is a wasteful number, since it uses less digits than its factorization.

2743053656301 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14513511425 (or 14513511419 counting only the distinct ones).

The product of its (nonzero) digits is 1360800, while the sum is 45.

The spelling of 2743053656301 in words is "two trillion, seven hundred forty-three billion, fifty-three million, six hundred fifty-six thousand, three hundred one".

Divisors: 1 3 7 9 21 27 63 189 14513511409 43540534227 101594579863 130621602681 304783739589 391864808043 914351218767 2743053656301