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73212733272 = 23374310134653
BaseRepresentation
bin100010000101111010…
…0011010011101011000
320222222022200012101210
41010023310122131120
52144414424431042
653344454543120
75201164651650
oct1041364323530
9228868605353
1073212733272
112905a752138
1212232967aa0
136b99c23b63
143787597360
151d876c6a9c
hex110bd1a758

73212733272 has 64 divisors (see below), whose sum is σ = 214043892480. Its totient is φ = 20431458432.

The previous prime is 73212733271. The next prime is 73212733313. The reversal of 73212733272 is 27233721237.

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

It is a self number, because there is not a number n which added to its sum of digits gives 73212733272.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73212733271) 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 15 ways as a sum of consecutive naturals, for example, 5060103 + ... + 5074550.

It is an arithmetic number, because the mean of its divisors is an integer number (3344435820).

Almost surely, 273212733272 is an apocalyptic number.

It is an amenable number.

73212733272 is an abundant number, since it is smaller than the sum of its proper divisors (140831159208).

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

73212733272 is a wasteful number, since it uses less digits than its factorization.

73212733272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10134712 (or 10134708 counting only the distinct ones).

The product of its digits is 148176, while the sum is 39.

The spelling of 73212733272 in words is "seventy-three billion, two hundred twelve million, seven hundred thirty-three thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 43 56 84 86 129 168 172 258 301 344 516 602 903 1032 1204 1806 2408 3612 7224 10134653 20269306 30403959 40538612 60807918 70942571 81077224 121615836 141885142 212827713 243231672 283770284 425655426 435790079 567540568 851310852 871580158 1307370237 1702621704 1743160316 2614740474 3050530553 3486320632 5229480948 6101061106 9151591659 10458961896 12202122212 18303183318 24404244424 36606366636 73212733272