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34552400425543 = 71113172030463679
BaseRepresentation
bin1111101101100110110111…
…00011011011001001000111
311112100011210012020121002101
413312303123203123021013
514012101304002104133
6201253053103252531
710164220456502650
oct766633343331107
9145304705217071
1034552400425543
1110011655296430
123a605a0baa147
13163837b52c9c0
148764b8d70527
153edbc1d6937d
hex1f6cdb8db247

34552400425543 has 32 divisors (see below), whose sum is σ = 49120977346560. Its totient is φ = 23390941570560.

The previous prime is 34552400425519. The next prime is 34552400425547.

It is a happy number.

34552400425543 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 34552400425543 - 221 = 34552398328391 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 34552400425493 and 34552400425502.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34552400425547) 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, 1015214823 + ... + 1015248856.

It is an arithmetic number, because the mean of its divisors is an integer number (1535030542080).

Almost surely, 234552400425543 is an apocalyptic number.

34552400425543 is a deficient number, since it is larger than the sum of its proper divisors (14568576921017).

34552400425543 is a wasteful number, since it uses less digits than its factorization.

34552400425543 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2030463727.

The product of its (nonzero) digits is 5760000, while the sum is 46.

It can be divided in two parts, 34552400 and 425543, that added together give a palindrome (34977943).

The spelling of 34552400425543 in words is "thirty-four trillion, five hundred fifty-two billion, four hundred million, four hundred twenty-five thousand, five hundred forty-three".

Divisors: 1 7 11 13 17 77 91 119 143 187 221 1001 1309 1547 2431 17017 2030463679 14213245753 22335100469 26396027827 34517882543 156345703283 184772194789 241625177801 290356306097 379696707973 448732473059 2032494142679 2657876955811 3141127311413 4936057203649 34552400425543