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72083274199530 = 23511859565344983
BaseRepresentation
bin10000011000111100110001…
…111100111111000111101010
3100110020002112022120021010220
4100120330301330333013222
533422003021143341110
6413150333215350510
721116562506116656
oct2030746174770752
9313202468507126
1072083274199530
1120a71388095610
12810227a822436
13312b567820849
1413b2bc5c71a66
158500b864a370
hex418f31f3f1ea

72083274199530 has 128 divisors (see below), whose sum is σ = 188984448829440. Its totient is φ = 17450914440960.

The previous prime is 72083274199529. The next prime is 72083274199537. The reversal of 72083274199530 is 3599147238027.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (72083274199537) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1602433419 + ... + 1602478401.

It is an arithmetic number, because the mean of its divisors is an integer number (1476441006480).

Almost surely, 272083274199530 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72083274199530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94492224414720).

72083274199530 is an abundant number, since it is smaller than the sum of its proper divisors (116901174629910).

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

72083274199530 is a wasteful number, since it uses less digits than its factorization.

72083274199530 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51516.

The product of its (nonzero) digits is 22861440, while the sum is 60.

The spelling of 72083274199530 in words is "seventy-two trillion, eighty-three billion, two hundred seventy-four million, one hundred ninety-nine thousand, five hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 165 330 859 1718 2577 4295 5154 5653 8590 9449 11306 12885 16959 18898 25770 28265 28347 33918 44983 47245 56530 56694 62183 84795 89966 94490 124366 134949 141735 169590 186549 224915 269898 283470 310915 373098 449830 494813 621830 674745 932745 989626 1349490 1484439 1865490 2474065 2968878 4855927 4948130 7422195 9711854 14567781 14844390 24279635 29135562 38640397 48559270 53415197 72838905 77280794 106830394 115921191 145677810 160245591 193201985 231842382 254288899 267075985 320491182 386403970 425044367 508577798 534151970 579605955 762866697 801227955 850088734 1159211910 1271444495 1275133101 1525733394 1602455910 2125221835 2542888990 2550266202 2797177889 3814333485 4250443670 5594355778 6375665505 7628666970 8391533667 12751331010 13985889445 16783067334 27971778890 41957668335 83915336670 218434164241 436868328482 655302492723 1092170821205 1310604985446 2184341642410 2402775806651 3276512463615 4805551613302 6553024927230 7208327419953 12013879033255 14416654839906 24027758066510 36041637099765 72083274199530