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320834705961 = 37111797759189
BaseRepresentation
bin1001010101100110011…
…11010001101000101001
31010200010112002202022110
410222303033101220221
520224032141042321
6403220041112533
732115404001330
oct4526317215051
91120115082273
10320834705961
11114079911260
125221aa88749
132434041b3a3
1411758228d17
15852b85a176
hex4ab33d1a29

320834705961 has 32 divisors (see below), whose sum is σ = 536315212800. Its totient is φ = 165736255680.

The previous prime is 320834705959. The next prime is 320834705999. The reversal of 320834705961 is 169507438023.

It is not a de Polignac number, because 320834705961 - 21 = 320834705959 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 320834705961.

It is not an unprimeable number, because it can be changed into a prime (320834705941) by changing a digit.

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, 3838246 + ... + 3920943.

It is an arithmetic number, because the mean of its divisors is an integer number (16759850400).

It is a 1-persistent number, because it is pandigital, but 2⋅320834705961 = 641669411922 is not.

Almost surely, 2320834705961 is an apocalyptic number.

It is an amenable number.

320834705961 is a deficient number, since it is larger than the sum of its proper divisors (215480506839).

320834705961 is a wasteful number, since it uses less digits than its factorization.

320834705961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7759389.

The product of its (nonzero) digits is 1088640, while the sum is 48.

The spelling of 320834705961 in words is "three hundred twenty billion, eight hundred thirty-four million, seven hundred five thousand, nine hundred sixty-one".

Divisors: 1 3 7 11 21 33 77 179 231 537 1253 1969 3759 5907 13783 41349 7759189 23277567 54314323 85351079 162942969 256053237 597457553 1388894831 1792372659 4166684493 9722263817 15277843141 29166791451 45833529423 106944901987 320834705961