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2023324305328 = 2417192983916091
BaseRepresentation
bin11101011100010111100…
…001101100011110110000
321011102112221122022211101
4131130113201230132300
5231122232010232303
64145300301454144
7266115601554154
oct35342741543660
97142487568741
102023324305328
117100a5905687
12288173271354
13118a4c881281
146dd0247b064
15379709ecd1d
hex1d71786c7b0

2023324305328 has 160 divisors (see below), whose sum is σ = 4525585344000. Its totient is φ = 869842391040.

The previous prime is 2023324305323. The next prime is 2023324305367. The reversal of 2023324305328 is 8235034233202.

It is not an unprimeable number, because it can be changed into a prime (2023324305323) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 125734563 + ... + 125750653.

It is an arithmetic number, because the mean of its divisors is an integer number (28284908400).

Almost surely, 22023324305328 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 2023324305328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2262792672000).

2023324305328 is an abundant number, since it is smaller than the sum of its proper divisors (2502261038672).

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

2023324305328 is a wasteful number, since it uses less digits than its factorization.

2023324305328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17003 (or 16997 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 37.

The spelling of 2023324305328 in words is "two trillion, twenty-three billion, three hundred twenty-four million, three hundred five thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 16 17 19 29 34 38 58 68 76 116 136 152 232 272 304 323 464 493 551 646 839 986 1102 1292 1678 1972 2204 2584 3356 3944 4408 5168 6712 7888 8816 9367 13424 14263 15941 16091 18734 24331 28526 31882 32182 37468 48662 57052 63764 64364 74936 97324 114104 127528 128728 149872 194648 228208 255056 257456 270997 273547 305729 389296 413627 462289 466639 541994 547094 611458 827254 924578 933278 1083988 1094188 1222916 1654508 1849156 1866556 2167976 2188376 2445832 3309016 3698312 3733112 4335952 4376752 4891664 5197393 6618032 7396624 7466224 7858913 7932863 8866141 10394786 13500349 15717826 15865726 17732282 20789572 27000698 31435652 31731452 35464564 41579144 54001396 62871304 63462904 70929128 83158288 108002792 125742608 126925808 141858256 150724397 216005584 229505933 256506631 301448794 391510121 459011866 513013262 602897588 783020242 918023732 1026026524 1205795176 1566040484 1836047464 2052053048 2411590352 3132080968 3672094928 4104106096 4360612727 6264161936 6655672057 7438692299 8721225454 13311344114 14877384598 17442450908 26622688228 29754769196 34884901816 53245376456 59509538392 69769803632 106490752912 119019076784 126457769083 252915538166 505831076332 1011662152664 2023324305328