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345532345355015 = 57132207344092319
BaseRepresentation
bin100111010010000101000010…
…0101101000000101100000111
31200022102120101020200201102222
41032210022010231000230013
5330242200220402330030
63222515211301322555
7132531613426256120
oct11644120455005407
91608376336621388
10345532345355015
11a0108498a41505
123290659740645b
1311aa573913b910
146147bd75dd047
1529e31513893e5
hex13a4284b40b07

345532345355015 has 32 divisors (see below), whose sum is σ = 510555926200320. Its totient is φ = 218611484210304.

The previous prime is 345532345355003. The next prime is 345532345355033. The reversal of 345532345355015 is 510553543235543.

It is a cyclic number.

It is not a de Polignac number, because 345532345355015 - 28 = 345532345354759 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 171041975 + ... + 173050344.

It is an arithmetic number, because the mean of its divisors is an integer number (15954872693760).

Almost surely, 2345532345355015 is an apocalyptic number.

345532345355015 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

345532345355015 is a deficient number, since it is larger than the sum of its proper divisors (165023580845305).

345532345355015 is a wasteful number, since it uses less digits than its factorization.

345532345355015 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344094551.

The product of its (nonzero) digits is 40500000, while the sum is 53.

The spelling of 345532345355015 in words is "three hundred forty-five trillion, five hundred thirty-two billion, three hundred forty-five million, three hundred fifty-five thousand, fifteen".

Divisors: 1 5 7 13 35 65 91 455 2207 11035 15449 28691 77245 143455 200837 1004185 344092319 1720461595 2408646233 4473200147 12043231165 22366000735 31312401029 156562005145 759411748033 3797058740165 5315882236231 9872352724429 26579411181155 49361763622145 69106469071003 345532345355015