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73091287368 = 233211228140459
BaseRepresentation
bin100010000010010010…
…1001000100101001000
320222122212011002221100
41010010211020211020
52144142332143433
653324435541400
75165161456161
oct1040445104510
9228585132840
1073091287368
1128aa8143020
12121ba15a860
136b7aa11a88
1437753c2768
151d7bbd7b13
hex1104948948

73091287368 has 96 divisors (see below), whose sum is σ = 216051544800. Its totient is φ = 22138617600.

The previous prime is 73091287343. The next prime is 73091287369. The reversal of 73091287368 is 86378219037.

It is a super-3 number, since 3×730912873683 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (73091287369) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1786323 + ... + 1826781.

It is an arithmetic number, because the mean of its divisors is an integer number (2250536925).

Almost surely, 273091287368 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73091287368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108025772400).

73091287368 is an abundant number, since it is smaller than the sum of its proper divisors (142960257432).

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

73091287368 is a wasteful number, since it uses less digits than its factorization.

73091287368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42763 (or 42756 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The spelling of 73091287368 in words is "seventy-three billion, ninety-one million, two hundred eighty-seven thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 198 264 396 792 2281 4562 6843 9124 13686 18248 20529 25091 27372 40459 41058 50182 54744 75273 80918 82116 100364 121377 150546 161836 164232 200728 225819 242754 301092 323672 364131 445049 451638 485508 602184 728262 890098 903276 971016 1335147 1456524 1780196 1806552 2670294 2913048 3560392 4005441 5340588 8010882 10681176 16021764 32043528 92286979 184573958 276860937 369147916 553721874 738295832 830582811 1015156769 1107443748 1661165622 2030313538 2214887496 3045470307 3322331244 4060627076 6090940614 6644662488 8121254152 9136410921 12181881228 18272821842 24363762456 36545643684 73091287368