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73030018284 = 22341819071373
BaseRepresentation
bin100010000000011101…
…1011010010011101100
320222111120212022120000
41010000323122103230
52144031141041114
653314410424300
75163515625126
oct1040073322354
9228446768500
1073030018284
1128a765a5713
12121a1732090
136b6b10c292
14376b1d4216
151d76633e09
hex1100eda4ec

73030018284 has 120 divisors (see below), whose sum is σ = 192321297168. Its totient is φ = 24164542080.

The previous prime is 73030018277. The next prime is 73030018289. The reversal of 73030018284 is 48281003037.

73030018284 is a `hidden beast` number, since 73 + 0 + 300 + 1 + 8 + 284 = 666.

It is a super-2 number, since 2×730300182842 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (73030018289) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 53189422 + ... + 53190794.

Almost surely, 273030018284 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 73030018284, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96160648584).

73030018284 is an abundant number, since it is smaller than the sum of its proper divisors (119291278884).

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

73030018284 is a wasteful number, since it uses less digits than its factorization.

73030018284 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2477 (or 2466 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 73030018284 in words is "seventy-three billion, thirty million, eighteen thousand, two hundred eighty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 181 324 362 543 724 907 1086 1373 1629 1814 2172 2721 2746 3258 3628 4119 4887 5442 5492 6516 8163 8238 9774 10884 12357 14661 16326 16476 19548 24489 24714 29322 32652 37071 48978 49428 58644 73467 74142 97956 111213 146934 148284 164167 222426 248513 293868 328334 444852 492501 497026 656668 745539 985002 994052 1245311 1477503 1491078 1970004 2236617 2490622 2955006 2982156 3735933 4432509 4473234 4981244 5910012 6709851 7471866 8865018 8946468 11207799 13297527 13419702 14943732 17730036 20129553 22415598 26595054 26839404 33623397 40259106 44831196 53190108 67246794 80518212 100870191 134493588 201740382 225401291 403480764 450802582 676203873 901605164 1352407746 2028611619 2704815492 4057223238 6085834857 8114446476 12171669714 18257504571 24343339428 36515009142 73030018284