Search a number
-
+
405749093301 = 3245083232589
BaseRepresentation
bin1011110011110001000…
…01111101001110110101
31102210022100111120101100
411321320201331032311
523121433231441201
6510222031120313
741212561246656
oct5717041751665
91383270446340
10405749093301
11147093870282
1266778673099
132c353737ab6
14158d193b52d
15a84b4bd886
hex5e7887d3b5

405749093301 has 6 divisors (see below), whose sum is σ = 586082023670. Its totient is φ = 270499395528.

The previous prime is 405749093287. The next prime is 405749093311. The reversal of 405749093301 is 103390947504.

405749093301 is a `hidden beast` number, since 40 + 5 + 7 + 490 + 93 + 30 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 345920422500 + 59828670801 = 588150^2 + 244599^2 .

It is not a de Polignac number, because 405749093301 - 27 = 405749093173 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (405749093311) 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 5 ways as a sum of consecutive naturals, for example, 22541616286 + ... + 22541616303.

Almost surely, 2405749093301 is an apocalyptic number.

It is an amenable number.

405749093301 is a deficient number, since it is larger than the sum of its proper divisors (180332930369).

405749093301 is a wasteful number, since it uses less digits than its factorization.

405749093301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45083232595 (or 45083232592 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The spelling of 405749093301 in words is "four hundred five billion, seven hundred forty-nine million, ninety-three thousand, three hundred one".

Divisors: 1 3 9 45083232589 135249697767 405749093301