Search a number
-
+
2008390986280 = 2357113439144593
BaseRepresentation
bin11101001110011101011…
…011100110101000101000
321010000000012222010012201
4131032131123212220220
5230401141043030110
64134350404545544
7265046541465640
oct35163533465050
97100005863181
102008390986280
11704832397a98
122852a60b22b4
1311750cab1103
146d2c7053520
15373999aab3a
hex1d39d6e6a28

2008390986280 has 128 divisors (see below), whose sum is σ = 5222041228800. Its totient is φ = 680938094592.

The previous prime is 2008390986271. The next prime is 2008390986319. The reversal of 2008390986280 is 826890938002.

It is a super-2 number, since 2×20083909862802 (a number of 25 digits) contains 22 as substring.

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, 13817664 + ... + 13962256.

It is an arithmetic number, because the mean of its divisors is an integer number (40797197100).

Almost surely, 22008390986280 is an apocalyptic number.

2008390986280 is a gapful number since it is divisible by the number (20) 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 2008390986280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2611020614400).

2008390986280 is an abundant number, since it is smaller than the sum of its proper divisors (3213650242520).

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

2008390986280 is a wasteful number, since it uses less digits than its factorization.

2008390986280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145163 (or 145159 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 55.

The spelling of 2008390986280 in words is "two trillion, eight billion, three hundred ninety million, nine hundred eighty-six thousand, two hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 113 140 226 280 439 452 565 791 878 904 1130 1582 1756 2195 2260 3073 3164 3512 3955 4390 4520 6146 6328 7910 8780 12292 15365 15820 17560 24584 30730 31640 49607 61460 99214 122920 144593 198428 248035 289186 347249 396856 496070 578372 694498 722965 992140 1012151 1156744 1388996 1445930 1736245 1984280 2024302 2777992 2891860 3472490 4048604 5060755 5783720 6944980 8097208 10121510 13889960 16339009 20243020 32678018 40486040 63476327 65356036 81695045 114373063 126952654 130712072 163390090 228746126 253905308 317381635 326780180 444334289 457492252 507810616 571865315 634763270 653560360 888668578 914984504 1143730630 1269526540 1777337156 2221671445 2287461260 2539053080 3554674312 4443342890 4574922520 7172824951 8886685780 14345649902 17773371560 28691299804 35864124755 50209774657 57382599608 71728249510 100419549314 143456499020 200839098628 251048873285 286912998040 401678197256 502097746570 1004195493140 2008390986280