Search a number
-
+
397349943793 = 1126015464033
BaseRepresentation
bin1011100100000111110…
…01101111100111110001
31101222122000000120021221
411302003321233213301
523002233041200133
6502312352145041
740464462536425
oct5620371574761
91358560016257
10397349943793
11143573758a00
1265013838181
132b6155c054a
1415336250b85
15a508e2ba2d
hex5c83e6f9f1

397349943793 has 12 divisors (see below), whose sum is σ = 437483346244. Its totient is φ = 360626112000.

The previous prime is 397349943773. The next prime is 397349943811.

It is a happy number.

397349943793 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 127232749809 + 270117193984 = 356697^2 + 519728^2 .

It is not a de Polignac number, because 397349943793 - 29 = 397349943281 is a prime.

It is a super-3 number, since 3×3973499437933 (a number of 36 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (397349943703) 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 11 ways as a sum of consecutive naturals, for example, 2659296 + ... + 2804737.

Almost surely, 2397349943793 is an apocalyptic number.

It is an amenable number.

397349943793 is a deficient number, since it is larger than the sum of its proper divisors (40133402451).

397349943793 is a wasteful number, since it uses less digits than its factorization.

397349943793 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5464656 (or 5464645 counting only the distinct ones).

The product of its digits is 416649744, while the sum is 70.

The spelling of 397349943793 in words is "three hundred ninety-seven billion, three hundred forty-nine million, nine hundred forty-three thousand, seven hundred ninety-three".

Divisors: 1 11 121 601 6611 72721 5464033 60104363 661147993 3283883833 36122722163 397349943793