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60030273006 = 232112919753069
BaseRepresentation
bin110111111010000101…
…010100010111101110
312201221121112211111200
4313322011110113232
51440420222214011
643324425030330
74223414621124
oct677205242756
9181847484450
1060030273006
1123505584680
12b7740253a6
135878ac9502
142c968d3914
151865232856
hexdfa1545ee

60030273006 has 96 divisors (see below), whose sum is σ = 147530354400. Its totient is φ = 17474231040.

The previous prime is 60030272957. The next prime is 60030273019. The reversal of 60030273006 is 60037203006.

60030273006 is a `hidden beast` number, since 600 + 3 + 0 + 27 + 30 + 0 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1104640 + ... + 1157708.

It is an arithmetic number, because the mean of its divisors is an integer number (1536774525).

Almost surely, 260030273006 is an apocalyptic number.

60030273006 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 60030273006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73765177200).

60030273006 is an abundant number, since it is smaller than the sum of its proper divisors (87500081394).

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

60030273006 is a wasteful number, since it uses less digits than its factorization.

60030273006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53314 (or 53311 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 27.

The spelling of 60030273006 in words is "sixty billion, thirty million, two hundred seventy-three thousand, six".

Divisors: 1 2 3 6 9 11 18 22 29 33 58 66 87 99 174 197 198 261 319 394 522 591 638 957 1182 1773 1914 2167 2871 3546 4334 5713 5742 6501 11426 13002 17139 19503 34278 39006 51417 53069 62843 102834 106138 125686 159207 188529 318414 377058 477621 565587 583759 955242 1131174 1167518 1539001 1751277 3078002 3502554 4617003 5253831 9234006 10454593 10507662 13851009 16929011 20909186 27702018 31363779 33858022 50787033 62727558 94091337 101574066 115000523 152361099 188182674 230001046 303183197 304722198 345001569 606366394 690003138 909549591 1035004707 1819099182 2070009414 2728648773 3335015167 5457297546 6670030334 10005045501 20010091002 30015136503 60030273006