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72343709985 = 35233713994051
BaseRepresentation
bin100001101100000000…
…1010110100100100001
320220201202110020120010
41003120001112210201
52141124442204420
653122332435133
75140513250241
oct1033001264441
9226652406503
1072343709985
1128754158078
121202b918aa9
136a8bb84bb1
143703dc1b21
151d362684e0
hex10d8056921

72343709985 has 64 divisors (see below), whose sum is σ = 124166246400. Its totient is φ = 35873798400.

The previous prime is 72343709983. The next prime is 72343709987. The reversal of 72343709985 is 58990734327.

It is an interprime number because it is at equal distance from previous prime (72343709983) and next prime (72343709987).

It is not a de Polignac number, because 72343709985 - 21 = 72343709983 is a prime.

It is a super-2 number, since 2×723437099852 (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (72343709983) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17856210 + ... + 17860260.

It is an arithmetic number, because the mean of its divisors is an integer number (1940097600).

Almost surely, 272343709985 is an apocalyptic number.

72343709985 is the 155289-th octagonal number.

It is an amenable number.

72343709985 is a deficient number, since it is larger than the sum of its proper divisors (51822536415).

72343709985 is a wasteful number, since it uses less digits than its factorization.

72343709985 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5518.

The product of its (nonzero) digits is 11430720, while the sum is 57.

The spelling of 72343709985 in words is "seventy-two billion, three hundred forty-three million, seven hundred nine thousand, nine hundred eighty-five".

Divisors: 1 3 5 15 23 37 69 111 115 185 345 555 851 1399 2553 4051 4197 4255 6995 12153 12765 20255 20985 32177 51763 60765 93173 96531 149887 155289 160885 258815 279519 449661 465865 482655 749435 776445 1190549 1397595 2248305 3447401 3571647 5667349 5952745 10342203 17002047 17237005 17858235 28336745 51711015 85010235 130349027 209691913 391047081 629075739 651745135 1048459565 1955235405 3145378695 4822913999 14468741997 24114569995 72343709985