Search a number
-
+
73912831272 = 2332732992907
BaseRepresentation
bin100010011010110001…
…1000100110100101000
321001210010000212022100
41010311203010310220
52202333141100042
653542144253400
75224425462000
oct1046543046450
9231703025270
1073912831272
1129389959125
12123a9311260
136c7bc98a27
143812559000
151dc8db824c
hex11358c4d28

73912831272 has 96 divisors (see below), whose sum is σ = 233446824000. Its totient is φ = 21117944736.

The previous prime is 73912831271. The next prime is 73912831273. The reversal of 73912831272 is 27213821937.

It is an interprime number because it is at equal distance from previous prime (73912831271) and next prime (73912831273).

It is a super-2 number, since 2×739128312722 (a number of 23 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (73912831271) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1471758 + ... + 1521149.

It is an arithmetic number, because the mean of its divisors is an integer number (2431737750).

Almost surely, 273912831272 is an apocalyptic number.

73912831272 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

73912831272 is an abundant number, since it is smaller than the sum of its proper divisors (159533992728).

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

73912831272 is a wasteful number, since it uses less digits than its factorization.

73912831272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2992940 (or 2992919 counting only the distinct ones).

The product of its digits is 254016, while the sum is 45.

The spelling of 73912831272 in words is "seventy-three billion, nine hundred twelve million, eight hundred thirty-one thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 49 56 63 72 84 98 126 147 168 196 252 294 343 392 441 504 588 686 882 1029 1176 1372 1764 2058 2744 3087 3528 4116 6174 8232 12348 24696 2992907 5985814 8978721 11971628 17957442 20950349 23943256 26936163 35914884 41900698 53872326 62851047 71829768 83801396 107744652 125702094 146652443 167602792 188553141 215489304 251404188 293304886 377106282 439957329 502808376 586609772 754212564 879914658 1026567101 1173219544 1319871987 1508425128 1759829316 2053134202 2639743974 3079701303 3519658632 4106268404 5279487948 6159402606 8212536808 9239103909 10558975896 12318805212 18478207818 24637610424 36956415636 73912831272