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34252533525243 = 31125122699182179
BaseRepresentation
bin1111100100111000010100…
…00101111110101011111011
311111021111202221202201210210
413302130022011332223323
513442143142040301433
6200503221403042203
710133443466061135
oct762341205765373
9144244687681723
1034252533525243
11aa06466238990
123a12454210363
131616000163717
14865b8d798055
153e5ec11ec463
hex1f270a17eafb

34252533525243 has 32 divisors (see below), whose sum is σ = 50022838656000. Its totient is φ = 20675381220000.

The previous prime is 34252533525167. The next prime is 34252533525293.

34252533525243 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 34252533525243 - 28 = 34252533524987 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 34252533525192 and 34252533525201.

It is not an unprimeable number, because it can be changed into a prime (34252533525293) 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, 187924728 + ... + 188106906.

It is an arithmetic number, because the mean of its divisors is an integer number (1563213708000).

Almost surely, 234252533525243 is an apocalyptic number.

34252533525243 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

34252533525243 is a deficient number, since it is larger than the sum of its proper divisors (15770305130757).

34252533525243 is a wasteful number, since it uses less digits than its factorization.

34252533525243 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205143.

The product of its digits is 12960000, while the sum is 48.

The spelling of 34252533525243 in words is "thirty-four trillion, two hundred fifty-two billion, five hundred thirty-three million, five hundred twenty-five thousand, two hundred forty-three".

Divisors: 1 3 11 33 251 753 2761 8283 22699 68097 182179 249689 546537 749067 2003969 5697449 6011907 17092347 45726929 62671939 137180787 188015817 502996219 1508988657 4135281121 12405843363 45488092331 136464276993 1037955561371 3113866684113 11417511175081 34252533525243