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32664292745 = 5717437317489
BaseRepresentation
bin11110011010111100…
…011000110110001001
310010022102121222221012
4132122330120312021
51013344024331440
623001125053305
72234310623120
oct363274306611
9103272558835
1032664292745
1112942161667
1263b7257235
133107358b96
14181c224ab7
15cb29a8e65
hex79af18d89

32664292745 has 64 divisors (see below), whose sum is σ = 49202588160. Its totient is φ = 20307345408.

The previous prime is 32664292741. The next prime is 32664292769. The reversal of 32664292745 is 54729246623.

It is a happy number.

It is not a de Polignac number, because 32664292745 - 22 = 32664292741 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 32664292693 and 32664292702.

It is not an unprimeable number, because it can be changed into a prime (32664292741) 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 63 ways as a sum of consecutive naturals, for example, 1858961 + ... + 1876449.

It is an arithmetic number, because the mean of its divisors is an integer number (768790440).

Almost surely, 232664292745 is an apocalyptic number.

32664292745 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

32664292745 is a deficient number, since it is larger than the sum of its proper divisors (16538295415).

32664292745 is a wasteful number, since it uses less digits than its factorization.

32664292745 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17634.

The product of its digits is 4354560, while the sum is 50.

The spelling of 32664292745 in words is "thirty-two billion, six hundred sixty-four million, two hundred ninety-two thousand, seven hundred forty-five".

Divisors: 1 5 7 17 35 43 73 85 119 215 301 365 511 595 731 1241 1505 2555 3139 3655 5117 6205 8687 15695 17489 21973 25585 43435 53363 87445 109865 122423 266815 297313 373541 612115 752027 1276697 1486565 1867705 2081191 3760135 5264189 6383485 8936879 10405955 12784459 21703849 26320945 44684395 54897971 63922295 89491213 108519245 151926943 274489855 384285797 447456065 759634715 933265507 1921428985 4666327535 6532858549 32664292745