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10090966986 = 2334144910151
BaseRepresentation
bin10010110010111011…
…11110111111001010
3222001020221020101000
421121131332333022
5131131241420421
64345152235430
7505030542552
oct113135767712
928036836330
1010090966986
1143090a6941
121b5753bb76
13c4a7ba5a9
146ba282162
153e0d7b226
hex25977efca

10090966986 has 64 divisors (see below), whose sum is σ = 23024736000. Its totient is φ = 3273984000.

The previous prime is 10090966967. The next prime is 10090967017. The reversal of 10090966986 is 68966909001.

It is a super-2 number, since 2×100909669862 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 989011 + ... + 999161.

It is an arithmetic number, because the mean of its divisors is an integer number (359761500).

Almost surely, 210090966986 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10090966986, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11512368000).

10090966986 is an abundant number, since it is smaller than the sum of its proper divisors (12933769014).

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

10090966986 is a wasteful number, since it uses less digits than its factorization.

10090966986 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10652 (or 10646 counting only the distinct ones).

The product of its (nonzero) digits is 1259712, while the sum is 54.

The spelling of 10090966986 in words is "ten billion, ninety million, nine hundred sixty-six thousand, nine hundred eighty-six".

Divisors: 1 2 3 6 9 18 27 41 54 82 123 246 369 449 738 898 1107 1347 2214 2694 4041 8082 10151 12123 18409 20302 24246 30453 36818 55227 60906 91359 110454 165681 182718 274077 331362 416191 497043 548154 832382 994086 1248573 2497146 3745719 4557799 7491438 9115598 11237157 13673397 22474314 27346794 41020191 82040382 123060573 186869759 246121146 373739518 560609277 1121218554 1681827831 3363655662 5045483493 10090966986