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34265541361051 = 711131791195915991
BaseRepresentation
bin1111100101010000100010…
…11010111011110110011011
311111022202100111022020222101
413302220101122323312123
513442401312042023201
6200513212234104231
710134414025622530
oct762502132736633
9144282314266871
1034265541361051
11aa10a30885510
123a14a8457b077
1316172c4049ba0
148666651a2d87
153e64d319ad01
hex1f2a116bbd9b

34265541361051 has 64 divisors (see below), whose sum is σ = 46270664294400. Its totient is φ = 24505271107200.

The previous prime is 34265541361049. The next prime is 34265541361123. The reversal of 34265541361051 is 15016314556243.

It is not a de Polignac number, because 34265541361051 - 21 = 34265541361049 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 34265541360992 and 34265541361010.

It is not an unprimeable number, because it can be changed into a prime (34265541361951) 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, 2142793666 + ... + 2142809656.

It is an arithmetic number, because the mean of its divisors is an integer number (722979129600).

Almost surely, 234265541361051 is an apocalyptic number.

34265541361051 is a deficient number, since it is larger than the sum of its proper divisors (12005122933349).

34265541361051 is a wasteful number, since it uses less digits than its factorization.

34265541361051 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28160.

The product of its (nonzero) digits is 1296000, while the sum is 46.

The spelling of 34265541361051 in words is "thirty-four trillion, two hundred sixty-five billion, five hundred forty-one million, three hundred sixty-one thousand, fifty-one".

Divisors: 1 7 11 13 77 91 143 179 1001 1253 1969 2327 11959 13783 15991 16289 25597 83713 111937 131549 155467 175901 179179 207883 920843 1088269 1231307 1455181 1710137 2140661 2286713 2862389 11970959 14984627 16006991 20036723 23547271 27828593 31486279 37211057 164830897 191236369 194800151 220403953 260477399 306114523 409321627 1338654583 2103600059 2142801661 2486072797 2865251389 14725200413 17402509579 27346800767 34231310051 191427605369 239619170357 376544410561 445007030663 2635810873927 3115049214641 4895077337293 34265541361051