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2027716809372 = 22325310917954469
BaseRepresentation
bin11101100000011101010…
…101110001001010011100
321011211220001220122121100
4131200131111301022130
5231210231000344442
64151304212233100
7266332466332332
oct35403525611234
97154801818540
102027716809372
11711a4a304a11
12288b9a30b790
1311929c8bb3a7
14701db9a3b52
1537b2b45584c
hex1d81d57129c

2027716809372 has 144 divisors (see below), whose sum is σ = 5299778484000. Its totient is φ = 653385927168.

The previous prime is 2027716809347. The next prime is 2027716809413. The reversal of 2027716809372 is 2739086177202.

2027716809372 is a `hidden beast` number, since 202 + 7 + 7 + 1 + 68 + 0 + 9 + 372 = 666.

It is a super-2 number, since 2×20277168093722 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 37199754 + ... + 37254222.

It is an arithmetic number, because the mean of its divisors is an integer number (36804017250).

Almost surely, 22027716809372 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 2027716809372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2649889242000).

2027716809372 is an abundant number, since it is smaller than the sum of its proper divisors (3272061674628).

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

2027716809372 is a wasteful number, since it uses less digits than its factorization.

2027716809372 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54820 (or 54815 counting only the distinct ones).

The product of its (nonzero) digits is 3556224, while the sum is 54.

The spelling of 2027716809372 in words is "two trillion, twenty-seven billion, seven hundred sixteen million, eight hundred nine thousand, three hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 36 53 106 109 159 179 212 218 318 327 358 436 477 537 636 654 716 954 981 1074 1308 1611 1908 1962 2148 3222 3924 5777 6444 9487 11554 17331 18974 19511 23108 28461 34662 37948 39022 51993 54469 56922 58533 69324 78044 85383 103986 108938 113844 117066 163407 170766 175599 207972 217876 234132 326814 341532 351198 490221 653628 702396 980442 1034083 1960884 2068166 2886857 3102249 4136332 5773714 5937121 6204498 8660571 9306747 9749951 11547428 11874242 12408996 17321142 17811363 18613494 19499902 23748484 25981713 29249853 34642284 35622726 37226988 38999804 51963426 53434089 58499706 71245452 87749559 103926852 106868178 116999412 175499118 213736356 314667413 350998236 516747403 629334826 944002239 1033494806 1062744659 1258669652 1550242209 1888004478 2066989612 2125489318 2832006717 3100484418 3188233977 3776008956 4250978636 4650726627 5664013434 6200968836 6376467954 9301453254 9564701931 11328026868 12752935908 18602906508 19129403862 38258807724 56325466927 112650933854 168976400781 225301867708 337952801562 506929202343 675905603124 1013858404686 2027716809372