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73183080768 = 2637173203041
BaseRepresentation
bin100010000101000001…
…1010011000101000000
320222220020212200210220
41010022003103011000
52144334332041033
653341515223040
75200354631340
oct1041203230500
9228806780726
1073183080768
1129044a39836
1212224a47a80
136b93a410b5
143783678d20
151d84cbabb3
hex110a0d3140

73183080768 has 112 divisors (see below), whose sum is σ = 234308928384. Its totient is φ = 19679477760.

The previous prime is 73183080743. The next prime is 73183080793. The reversal of 73183080768 is 86708038137.

It is an interprime number because it is at equal distance from previous prime (73183080743) and next prime (73183080793).

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×731830807682 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a self number, because there is not a number n which added to its sum of digits gives 73183080768.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1578673 + ... + 1624368.

Almost surely, 273183080768 is an apocalyptic number.

It is an amenable number.

73183080768 is an abundant number, since it is smaller than the sum of its proper divisors (161125847616).

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

73183080768 is a wasteful number, since it uses less digits than its factorization.

73183080768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3203080 (or 3203070 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 51.

The spelling of 73183080768 in words is "seventy-three billion, one hundred eighty-three million, eighty thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 17 21 24 28 32 34 42 48 51 56 64 68 84 96 102 112 119 136 168 192 204 224 238 272 336 357 408 448 476 544 672 714 816 952 1088 1344 1428 1632 1904 2856 3264 3808 5712 7616 11424 22848 3203041 6406082 9609123 12812164 19218246 22421287 25624328 38436492 44842574 51248656 54451697 67263861 76872984 89685148 102497312 108903394 134527722 153745968 163355091 179370296 204994624 217806788 269055444 307491936 326710182 358740592 381161879 435613576 538110888 614983872 653420364 717481184 762323758 871227152 1076221776 1143485637 1306840728 1434962368 1524647516 1742454304 2152443552 2286971274 2613681456 3049295032 3484908608 4304887104 4573942548 5227362912 6098590064 9147885096 10454725824 12197180128 18295770192 24394360256 36591540384 73183080768