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84425220048 = 243133716132267
BaseRepresentation
bin100111010100000100…
…0101001111111010000
322001220201221112200210
41032220020221333100
52340400324020143
6102441233244120
76046064346531
oct1165010517720
9261821845623
1084425220048
1132893921434
1214441a03640
137c65b88210
14412c77a688
1522e1c3a033
hex13a8229fd0

84425220048 has 160 divisors (see below), whose sum is σ = 241479294336. Its totient is φ = 25248098304.

The previous prime is 84425220041. The next prime is 84425220053. The reversal of 84425220048 is 84002252448.

It is a super-2 number, since 2×844252200482 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 84425219988 and 84425220015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84425220041) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 37239811 + ... + 37242077.

Almost surely, 284425220048 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 84425220048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120739647168).

84425220048 is an abundant number, since it is smaller than the sum of its proper divisors (157054074288).

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

84425220048 is a wasteful number, since it uses less digits than its factorization.

84425220048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3941 (or 3935 counting only the distinct ones).

The product of its (nonzero) digits is 163840, while the sum is 39.

The spelling of 84425220048 in words is "eighty-four billion, four hundred twenty-five million, two hundred twenty thousand, forty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 37 39 48 52 74 78 104 111 148 156 208 222 296 312 444 481 592 624 888 962 1443 1613 1776 1924 2267 2886 3226 3848 4534 4839 5772 6452 6801 7696 9068 9678 11544 12904 13602 18136 19356 20969 23088 25808 27204 29471 36272 38712 41938 54408 58942 59681 62907 77424 83876 83879 88413 108816 117884 119362 125814 167752 167758 176826 179043 235768 238724 251628 251637 335504 335516 353652 358086 471536 477448 503256 503274 671032 707304 716172 775853 954896 1006512 1006548 1090427 1342064 1414608 1432344 1551706 2013096 2180854 2327559 2864688 3103412 3271281 3656671 4026192 4361708 4655118 6206824 6542562 7313342 8723416 9310236 10970013 12413648 13085124 14626684 17446832 18620472 21940026 26170248 29253368 37240944 43880052 47536723 52340496 58506736 87760104 95073446 135296827 142610169 175520208 190146892 270593654 285220338 380293784 405890481 541187308 570440676 760587568 811780962 1082374616 1140881352 1623561924 1758858751 2164749232 2281762704 3247123848 3517717502 5276576253 6494247696 7035435004 10553152506 14070870008 21106305012 28141740016 42212610024 84425220048