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306064052112 = 243713137511457
BaseRepresentation
bin1000111010000101101…
…01101100111110010000
31002021000010111210101210
410131002311230332100
520003304344131422
6352334234500120
731053360342510
oct4350265547620
91067003453353
10306064052112
1110888a1a6415
124b398294640
1322b28262b20
1410b56665840
157e64c4a10c
hex4742d6cf90

306064052112 has 160 divisors (see below), whose sum is σ = 980231761152. Its totient is φ = 80130834432.

The previous prime is 306064052101. The next prime is 306064052143. The reversal of 306064052112 is 211250460603.

It is a self number, because there is not a number n which added to its sum of digits gives 306064052112.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 342688 + ... + 854144.

Almost surely, 2306064052112 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 306064052112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (490115880576).

306064052112 is an abundant number, since it is smaller than the sum of its proper divisors (674167709040).

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

306064052112 is a wasteful number, since it uses less digits than its factorization.

306064052112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 511625 (or 511619 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The spelling of 306064052112 in words is "three hundred six billion, sixty-four million, fifty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 39 42 48 52 56 78 84 91 104 112 137 156 168 182 208 273 274 312 336 364 411 546 548 624 728 822 959 1092 1096 1456 1644 1781 1918 2184 2192 2877 3288 3562 3836 4368 5343 5754 6576 7124 7672 10686 11508 12467 14248 15344 21372 23016 24934 28496 37401 42744 46032 49868 74802 85488 99736 149604 199472 299208 511457 598416 1022914 1534371 2045828 3068742 3580199 4091656 6137484 6648941 7160398 8183312 10740597 12274968 13297882 14320796 19946823 21481194 24549936 26595764 28641592 39893646 42962388 46542587 53191528 57283184 70069609 79787292 85924776 93085174 106383056 139627761 140139218 159574584 171849552 186170348 210208827 279255522 280278436 319149168 372340696 420417654 490487263 558511044 560556872 744681392 840835308 910904917 980974526 1117022088 1121113744 1471461789 1681670616 1821809834 1961949052 2234044176 2732714751 2942923578 3363341232 3643619668 3923898104 5465429502 5885847156 6376334419 7287239336 7847796208 10930859004 11771694312 12752668838 14574478672 19129003257 21861718008 23543388624 25505337676 38258006514 43723436016 51010675352 76516013028 102021350704 153032026056 306064052112