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34652225643 = 37371011094051
BaseRepresentation
bin100000010001011011…
…110000000001101011
310022102222021110012120
4200101123300001223
51031431432210033
623530301242323
72334500025630
oct402133600153
9108388243176
1034652225643
1113772307012
126870b633a3
133363169839
14196a25c187
15d7c2861b3
hex8116f006b

34652225643 has 64 divisors (see below), whose sum is σ = 55283543040. Its totient is φ = 18895680000.

The previous prime is 34652225633. The next prime is 34652225651.

34652225643 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 34652225643 - 26 = 34652225579 is a prime.

It is a super-3 number, since 3×346522256433 (a number of 33 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a junction number, because it is equal to n+sod(n) for n = 34652225595 and 34652225604.

It is not an unprimeable number, because it can be changed into a prime (34652225603) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8551968 + ... + 8556018.

It is an arithmetic number, because the mean of its divisors is an integer number (863805360).

Almost surely, 234652225643 is an apocalyptic number.

34652225643 is a deficient number, since it is larger than the sum of its proper divisors (20631317397).

34652225643 is a wasteful number, since it uses less digits than its factorization.

34652225643 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4308.

The product of its digits is 1036800, while the sum is 42.

The spelling of 34652225643 in words is "thirty-four billion, six hundred fifty-two million, two hundred twenty-five thousand, six hundred forty-three".

Divisors: 1 3 7 21 37 101 109 111 259 303 327 707 763 777 2121 2289 3737 4033 4051 11009 11211 12099 12153 26159 28231 28357 33027 77063 78477 84693 85071 149887 231189 407333 409151 441559 449661 1049209 1221999 1227453 1324677 2851331 2864057 3090913 3147627 8553993 8592171 9272739 15138587 16337683 44597459 45415761 49013049 105970109 114363781 133792377 312182213 317910327 343091343 936546639 1650105983 4950317949 11550741881 34652225643