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34457275567 = 11131499071783
BaseRepresentation
bin100000000101110100…
…000100110010101111
310021221101102221222101
4200011310010302233
51031032030304232
623455054555531
72326612003231
oct400564046257
9107841387871
1034457275567
1113682263150
126817808ba7
13333195cc70
14194c3d2251
15d6a0c81e7
hex805d04caf

34457275567 has 32 divisors (see below), whose sum is σ = 40820774400. Its totient is φ = 28673377920.

The previous prime is 34457275549. The next prime is 34457275577. The reversal of 34457275567 is 76557275443.

It is not a de Polignac number, because 34457275567 - 27 = 34457275439 is a prime.

It is a Smith number, since the sum of its digits (55) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34457275577) 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, 19324558 + ... + 19326340.

It is an arithmetic number, because the mean of its divisors is an integer number (1275649200).

Almost surely, 234457275567 is an apocalyptic number.

34457275567 is a deficient number, since it is larger than the sum of its proper divisors (6363498833).

34457275567 is a wasteful number, since it uses less digits than its factorization.

34457275567 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2863.

The product of its digits is 24696000, while the sum is 55.

The spelling of 34457275567 in words is "thirty-four billion, four hundred fifty-seven million, two hundred seventy-five thousand, five hundred sixty-seven".

Divisors: 1 11 13 143 149 907 1639 1783 1937 9977 11791 19613 21307 23179 129701 135143 254969 265667 1486573 1617181 1756859 2922337 3453671 17788991 19325449 21023353 37990381 231256883 240959969 2650559659 3132479597 34457275567