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3456052506543 = 3721311531568521
BaseRepresentation
bin110010010010101100110…
…010000010111110101111
3110020101200020112000011210
4302102230302002332233
5423110443420202133
611203404423245503
7504456126413400
oct62225462027657
913211606460153
103456052506543
1111127815a494a
12479980ba9893
131c0b9ab2bc80
14bd3b95859a7
155ed7703c763
hex324acc82faf

3456052506543 has 48 divisors (see below), whose sum is σ = 5777757446496. Its totient is φ = 1821390520320.

The previous prime is 3456052506541. The next prime is 3456052506553.

It is a happy number.

3456052506543 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 3456052506543 - 21 = 3456052506541 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 3456052506492 and 3456052506501.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3456052506541) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1419123 + ... + 2987643.

It is an arithmetic number, because the mean of its divisors is an integer number (120369946802).

Almost surely, 23456052506543 is an apocalyptic number.

3456052506543 is a deficient number, since it is larger than the sum of its proper divisors (2321704939953).

3456052506543 is a wasteful number, since it uses less digits than its factorization.

3456052506543 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1569704 (or 1569697 counting only the distinct ones).

The product of its (nonzero) digits is 6480000, while the sum is 48.

The spelling of 3456052506543 in words is "three trillion, four hundred fifty-six billion, fifty-two million, five hundred six thousand, five hundred forty-three".

Divisors: 1 3 7 13 21 39 49 91 147 273 637 1153 1911 3459 8071 14989 24213 44967 56497 104923 169491 314769 734461 1568521 2203383 4705563 10979647 20390773 32938941 61172319 76857529 142735411 230572587 428206233 999147877 1808504713 2997443631 5425514139 12659532991 23510561269 37978598973 70531683807 88616730937 164573928883 265850192811 493721786649 1152017502181 3456052506543