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73682942112 = 253513728899
BaseRepresentation
bin100010010011111011…
…0000111100010100000
321001012002110021200000
41010213312013202200
52201400313121422
653503253100000
75215634450133
oct1044766074240
9231162407600
1073682942112
1129281110a8a
1212344327600
136c43478040
1437cdbd621a
151db3b07cac
hex1127d878a0

73682942112 has 144 divisors (see below), whose sum is σ = 234011887200. Its totient is φ = 22671643392.

The previous prime is 73682942111. The next prime is 73682942119. The reversal of 73682942112 is 21124928637.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (73682942111) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 263362 + ... + 465537.

It is an arithmetic number, because the mean of its divisors is an integer number (1625082550).

Almost surely, 273682942112 is an apocalyptic number.

73682942112 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

73682942112 is an abundant number, since it is smaller than the sum of its proper divisors (160328945088).

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

73682942112 is a wasteful number, since it uses less digits than its factorization.

73682942112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 728937 (or 728917 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The spelling of 73682942112 in words is "seventy-three billion, six hundred eighty-two million, nine hundred forty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 72 78 81 96 104 108 117 144 156 162 208 216 234 243 288 312 324 351 416 432 468 486 624 648 702 864 936 972 1053 1248 1296 1404 1872 1944 2106 2592 2808 3159 3744 3888 4212 5616 6318 7776 8424 11232 12636 16848 25272 33696 50544 101088 728899 1457798 2186697 2915596 4373394 5831192 6560091 8746788 9475687 11662384 13120182 17493576 18951374 19680273 23324768 26240364 28427061 34987152 37902748 39360546 52480728 56854122 59040819 69974304 75805496 78721092 85281183 104961456 113708244 118081638 151610992 157442184 170562366 177122457 209922912 227416488 236163276 255843549 303221984 314884368 341124732 354244914 454832976 472326552 511687098 629768736 682249464 708489828 767530647 909665952 944653104 1023374196 1364498928 1416979656 1535061294 1889306208 2046748392 2302591941 2728997856 2833959312 3070122588 4093496784 4605183882 5667918624 6140245176 8186993568 9210367764 12280490352 18420735528 24560980704 36841471056 73682942112