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73494896112 = 243211191242923
BaseRepresentation
bin100010001110010100…
…0110001110111110000
321000200222121120001100
41010130220301313300
52201004143133422
653432454404400
75211162211101
oct1043450616760
9230628546040
1073494896112
1129194a53270
12122b1360700
136c13517b11
1437b2c463a8
151da23607ac
hex111ca31df0

73494896112 has 120 divisors (see below), whose sum is σ = 225557849088. Its totient is φ = 22154486400.

The previous prime is 73494896107. The next prime is 73494896129. The reversal of 73494896112 is 21169849437.

73494896112 is a `hidden beast` number, since 7 + 3 + 49 + 489 + 6 + 112 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 181083 + ... + 424005.

Almost surely, 273494896112 is an apocalyptic number.

73494896112 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73494896112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112778924544).

73494896112 is an abundant number, since it is smaller than the sum of its proper divisors (152062952976).

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

73494896112 is a wasteful number, since it uses less digits than its factorization.

73494896112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243139 (or 243130 counting only the distinct ones).

The product of its digits is 2612736, while the sum is 54.

The spelling of 73494896112 in words is "seventy-three billion, four hundred ninety-four million, eight hundred ninety-six thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 88 99 132 144 176 191 198 264 382 396 528 573 764 792 1146 1528 1584 1719 2101 2292 3056 3438 4202 4584 6303 6876 8404 9168 12606 13752 16808 18909 25212 27504 33616 37818 50424 75636 100848 151272 242923 302544 485846 728769 971692 1457538 1943384 2186307 2672153 2915076 3886768 4372614 5344306 5830152 8016459 8745228 10688612 11660304 16032918 17490456 21377224 24049377 32065836 34980912 42754448 46398293 48098754 64131672 92796586 96197508 128263344 139194879 185593172 192395016 278389758 371186344 384790032 417584637 510381223 556779516 742372688 835169274 1020762446 1113559032 1531143669 1670338548 2041524892 2227118064 3062287338 3340677096 4083049784 4593431007 6124574676 6681354192 8166099568 9186862014 12249149352 18373724028 24498298704 36747448056 73494896112