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40759359759 = 331979452943
BaseRepresentation
bin100101111101011100…
…100111100100001111
310220012120221000021000
4211331130213210033
51131433344003014
630420302311343
72642024561436
oct457534474417
9126176830230
1040759359759
1116316661298
127a96288553
133ac74a6371
141d8939811d
1510d84d2509
hex97d72790f

40759359759 has 16 divisors (see below), whose sum is σ = 63562355200. Its totient is φ = 25742753208.

The previous prime is 40759359757. The next prime is 40759359763. The reversal of 40759359759 is 95795395704.

40759359759 is a `hidden beast` number, since 407 + 5 + 93 + 5 + 97 + 59 = 666.

It is not a de Polignac number, because 40759359759 - 21 = 40759359757 is a prime.

It is a super-2 number, since 2×407593597592 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 40759359696 and 40759359705.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40759359757) 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, 39725959 + ... + 39726984.

It is an arithmetic number, because the mean of its divisors is an integer number (3972647200).

Almost surely, 240759359759 is an apocalyptic number.

40759359759 is a deficient number, since it is larger than the sum of its proper divisors (22802995441).

40759359759 is a wasteful number, since it uses less digits than its factorization.

40759359759 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79452971 (or 79452965 counting only the distinct ones).

The product of its (nonzero) digits is 53581500, while the sum is 63.

The spelling of 40759359759 in words is "forty billion, seven hundred fifty-nine million, three hundred fifty-nine thousand, seven hundred fifty-nine".

Divisors: 1 3 9 19 27 57 171 513 79452943 238358829 715076487 1509605917 2145229461 4528817751 13586453253 40759359759