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2092440056064 = 28359379121843
BaseRepresentation
bin11110011100101111001…
…001010111000100000000
321102000221202010020202020
4132130233021113010000
5233240304123243224
64241130444121440
7304113421005501
oct36345711270400
97360852106666
102092440056064
11737442953136
12299641b36280
13122415a584b7
14733bb876ba8
1539668693c79
hex1e72f257100

2092440056064 has 144 divisors (see below), whose sum is σ = 5678320300800. Its totient is φ = 683843586048.

The previous prime is 2092440056041. The next prime is 2092440056081. The reversal of 2092440056064 is 4606500442902.

It is a super-2 number, since 2×20924400560642 (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17112327 + ... + 17234169.

Almost surely, 22092440056064 is an apocalyptic number.

2092440056064 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2092440056064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2839160150400).

2092440056064 is an abundant number, since it is smaller than the sum of its proper divisors (3585880244736).

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

2092440056064 is a wasteful number, since it uses less digits than its factorization.

2092440056064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122300 (or 122286 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 42.

Adding to 2092440056064 its reverse (4606500442902), we get a palindrome (6698940498966).

The spelling of 2092440056064 in words is "two trillion, ninety-two billion, four hundred forty million, fifty-six thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 59 64 96 118 128 177 192 236 256 354 379 384 472 708 758 768 944 1137 1416 1516 1888 2274 2832 3032 3776 4548 5664 6064 7552 9096 11328 12128 15104 18192 22361 22656 24256 36384 44722 45312 48512 67083 72768 89444 97024 121843 134166 145536 178888 243686 268332 291072 357776 365529 487372 536664 715552 731058 974744 1073328 1431104 1462116 1949488 2146656 2862208 2924232 3898976 4293312 5724416 5848464 7188737 7797952 8586624 11696928 14377474 15595904 17173248 21566211 23393856 28754948 31191808 43132422 46178497 46787712 57509896 86264844 92356994 93575424 115019792 138535491 172529688 184713988 230039584 277070982 345059376 369427976 460079168 554141964 690118752 738855952 920158336 1108283928 1380237504 1477711904 1840316672 2216567856 2724531323 2760475008 2955423808 4433135712 5449062646 5520950016 5910847616 8173593969 8866271424 10898125292 11821695232 16347187938 17732542848 21796250584 32694375876 35465085696 43592501168 65388751752 87185002336 130777503504 174370004672 261555007008 348740009344 523110014016 697480018688 1046220028032 2092440056064