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2172064755 = 357172312309
BaseRepresentation
bin1000000101110111…
…0001001111110011
312121101010022200210
42001131301033303
513422022033010
6555310515203
7104553150210
oct20135611763
95541108623
102172064755
11a1508a443
12507505b03
13288000423
14168688b07
15caa4eb20
hex817713f3

2172064755 has 96 divisors (see below), whose sum is σ = 4357140480. Its totient is φ = 903997440.

The previous prime is 2172064751. The next prime is 2172064861. The reversal of 2172064755 is 5574602712.

It is not a de Polignac number, because 2172064755 - 22 = 2172064751 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2172064751) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 939541 + ... + 941849.

It is an arithmetic number, because the mean of its divisors is an integer number (45386880).

Almost surely, 22172064755 is an apocalyptic number.

2172064755 is an abundant number, since it is smaller than the sum of its proper divisors (2185075725).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2172064755 is a wasteful number, since it uses less digits than its factorization.

2172064755 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2389 (or 2372 counting only the distinct ones).

The product of its (nonzero) digits is 117600, while the sum is 39.

The square root of 2172064755 is about 46605.4155115047. The cubic root of 2172064755 is about 1295.0630808606.

The spelling of 2172064755 in words is "two billion, one hundred seventy-two million, sixty-four thousand, seven hundred fifty-five".

Divisors: 1 3 5 7 15 17 21 31 35 51 85 93 105 119 155 217 255 289 357 465 527 595 651 867 1085 1445 1581 1785 2023 2309 2635 3255 3689 4335 6069 6927 7905 8959 10115 11067 11545 16163 18445 26877 30345 34635 39253 44795 48489 55335 62713 71579 80815 117759 134385 188139 196265 214737 242445 274771 313565 357895 501053 588795 667301 824313 940695 1073685 1216843 1373855 1503159 2001903 2505265 3336505 3650529 4121565 4671107 6084215 7515795 8517901 10009515 14013321 18252645 20686331 23355535 25553703 42589505 62058993 70066605 103431655 127768515 144804317 310294965 434412951 724021585 2172064755