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2185090202816 = 26313738377719
BaseRepresentation
bin11111110011000001100…
…001100111110011000000
321201220002200201100202222
4133303001201213303000
5241300031042442231
64351452214230212
7313603400161433
oct37630141476300
97656080640688
102185090202816
117727674aa754
122b359a355368
1312b08c92a841
1477a8a70b81a
153bc8c50927b
hex1fcc1867cc0

2185090202816 has 112 divisors (see below), whose sum is σ = 4608942735360. Its totient is φ = 1026026818560.

The previous prime is 2185090202797. The next prime is 2185090202819. The reversal of 2185090202816 is 6182020905812.

It is a zygodrome in base 2.

It is not an unprimeable number, because it can be changed into a prime (2185090202819) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28076405 + ... + 28154123.

Almost surely, 22185090202816 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 2185090202816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2304471367680).

2185090202816 is an abundant number, since it is smaller than the sum of its proper divisors (2423852532544).

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

2185090202816 is a wasteful number, since it uses less digits than its factorization.

2185090202816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78182 (or 78172 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 44.

The spelling of 2185090202816 in words is "two trillion, one hundred eighty-five billion, ninety million, two hundred two thousand, eight hundred sixteen".

Divisors: 1 2 4 8 16 31 32 37 62 64 74 124 148 248 296 383 496 592 766 992 1147 1184 1532 1984 2294 2368 3064 4588 6128 9176 11873 12256 14171 18352 23746 24512 28342 36704 47492 56684 73408 77719 94984 113368 155438 189968 226736 310876 379936 439301 453472 621752 759872 878602 906944 1243504 1757204 2409289 2487008 2875603 3514408 4818578 4974016 5751206 7028816 9637156 11502412 14057632 19274312 23004824 28115264 29766377 38548624 46009648 59532754 77097248 89143693 92019296 119065508 154194496 178287386 184038592 238131016 356574772 476262032 713149544 922757687 952524064 1101355949 1426299088 1845515374 1905048128 2202711898 2852598176 3691030748 4405423796 5705196352 7382061496 8810847592 14764122992 17621695184 29528245984 34142034419 35243390368 59056491968 68284068838 70486780736 136568137676 273136275352 546272550704 1092545101408 2185090202816