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3468778643 = 111910121627
BaseRepresentation
bin1100111011000001…
…0101110010010011
322221202010012202002
43032300111302103
524101001404033
61332111544215
7151650063161
oct31660256223
98852105662
103468778643
111520042810
1280982b06b
13433857755
1424c992231
151547e13e8
hexcec15c93

3468778643 has 24 divisors (see below), whose sum is σ = 4025588160. Its totient is φ = 2956068000.

The previous prime is 3468778639. The next prime is 3468778657.

3468778643 is nontrivially palindromic in base 10.

3468778643 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 3468778643 - 22 = 3468778639 is a prime.

It is not an unprimeable number, because it can be changed into a prime (3468778673) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2131196 + ... + 2132822.

It is an arithmetic number, because the mean of its divisors is an integer number (167732840).

Almost surely, 23468778643 is an apocalyptic number.

3468778643 is a deficient number, since it is larger than the sum of its proper divisors (556809517).

3468778643 is a wasteful number, since it uses less digits than its factorization.

3468778643 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1859 (or 1758 counting only the distinct ones).

The product of its digits is 16257024, while the sum is 56.

The square root of 3468778643 is about 58896.3381119743. The cubic root of 3468778643 is about 1513.7664032173.

The spelling of 3468778643 in words is "three billion, four hundred sixty-eight million, seven hundred seventy-eight thousand, six hundred forty-three".

Divisors: 1 11 19 101 209 1111 1627 1919 10201 17897 21109 30913 112211 164327 193819 340043 1807597 2132009 3122213 16597027 34344343 182567297 315343513 3468778643