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1882290590096 = 2471710122134423
BaseRepresentation
bin11011011001000001010…
…000110001000110010000
320122221112001211021100212
4123121001100301012100
5221314412342340341
64000413511503252
7252663626012630
oct33310120610620
96587461737325
101882290590096
11666302a6aa34
12264973387b28
13108664aa9077
14671638466c0
1533e6918a5eb
hex1b641431190

1882290590096 has 160 divisors (see below), whose sum is σ = 4459817553408. Its totient is φ = 751216435200.

The previous prime is 1882290590051. The next prime is 1882290590111. The reversal of 1882290590096 is 6900950922881.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 425566541 + ... + 425570963.

Almost surely, 21882290590096 is an apocalyptic number.

1882290590096 is a gapful number since it is divisible by the number (16) 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 1882290590096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2229908776704).

1882290590096 is an abundant number, since it is smaller than the sum of its proper divisors (2577526963312).

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

1882290590096 is a wasteful number, since it uses less digits than its factorization.

1882290590096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6769 (or 6763 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 59.

The spelling of 1882290590096 in words is "one trillion, eight hundred eighty-two billion, two hundred ninety million, five hundred ninety thousand, ninety-six".

Divisors: 1 2 4 7 8 14 16 17 28 34 56 68 101 112 119 136 202 238 272 404 476 707 808 952 1414 1616 1717 1904 2213 2828 3434 4423 4426 5656 6868 8846 8852 11312 12019 13736 15491 17692 17704 24038 27472 30961 30982 35384 35408 37621 48076 61922 61964 70768 75191 75242 96152 123844 123928 150382 150484 192304 223513 247688 247856 263347 300764 300968 446723 447026 495376 526337 526694 601528 601936 893446 894052 1052674 1053388 1203056 1564591 1786892 1788104 2105348 2106776 3127061 3129182 3573784 3576208 3799721 4210696 4213552 6254122 6258364 7147568 7594291 7599442 8421392 9788099 12508244 12516728 15188582 15198884 19576198 25016488 25033456 26598047 30377164 30397768 39152396 50032976 53160037 53196094 60754328 60795536 68516693 78304792 106320074 106392188 121508656 137033386 156609584 166397683 212640148 212784376 274066772 332795366 425280296 425568752 548133544 665590732 850560592 988597999 1096267088 1164783781 1331181464 1977195998 2329567562 2662362928 3954391996 4659135124 6920185993 7908783992 9318270248 13840371986 15817567984 16806165983 18636540496 27680743972 33612331966 55361487944 67224663932 110722975888 117643161881 134449327864 235286323762 268898655728 470572647524 941145295048 1882290590096