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2102835797328 = 243727191243481
BaseRepresentation
bin11110100110011010110…
…001111101110101010000
321110000210020112121211110
4132212122301331311100
5233423101431003303
64250010205013320
7304632142234200
oct36463261756520
97400706477743
102102835797328
11740897a94442
1229b663554240
131233b17259a6
1473ac63b2400
1539a76173703
hex1e99ac7dd50

2102835797328 has 120 divisors (see below), whose sum is σ = 6328030158720. Its totient is φ = 599974126080.

The previous prime is 2102835797297. The next prime is 2102835797357. The reversal of 2102835797328 is 8237975382012.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1069348 + ... + 2312828.

It is an arithmetic number, because the mean of its divisors is an integer number (52733584656).

Almost surely, 22102835797328 is an apocalyptic number.

2102835797328 is a gapful number since it is divisible by the number (28) 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 2102835797328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3164015079360).

2102835797328 is an abundant number, since it is smaller than the sum of its proper divisors (4225194361392).

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

2102835797328 is a wasteful number, since it uses less digits than its factorization.

2102835797328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1244225 (or 1244212 counting only the distinct ones).

The product of its (nonzero) digits is 10160640, while the sum is 57.

The spelling of 2102835797328 in words is "two trillion, one hundred two billion, eight hundred thirty-five million, seven hundred ninety-seven thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 49 56 84 98 112 147 168 196 294 336 392 588 719 784 1176 1438 2157 2352 2876 4314 5033 5752 8628 10066 11504 15099 17256 20132 30198 34512 35231 40264 60396 70462 80528 105693 120792 140924 211386 241584 281848 422772 563696 845544 1243481 1691088 2486962 3730443 4973924 7460886 8704367 9947848 14921772 17408734 19895696 26113101 29843544 34817468 52226202 59687088 60930569 69634936 104452404 121861138 139269872 182791707 208904808 243722276 365583414 417809616 487444552 731166828 894062839 974889104 1462333656 1788125678 2682188517 2924667312 3576251356 5364377034 6258439873 7152502712 10728754068 12516879746 14305005424 18775319619 21457508136 25033759492 37550639238 42915016272 43809079111 50067518984 75101278476 87618158222 100135037968 131427237333 150202556952 175236316444 262854474666 300405113904 350472632888 525708949332 700945265776 1051417898664 2102835797328