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2118090128 = 247113121789
BaseRepresentation
bin111111000111111…
…0111110110010000
312110121120010102112
41332033313312100
513314212341003
6550102004452
7103326316610
oct17617676620
95417503375
102118090128
11997674510
124b1416728
13279a82b8b
14161438a40
15c5e3c3d8
hex7e3f7d90

2118090128 has 120 divisors (see below), whose sum is σ = 5289750720. Its totient is φ = 798163200.

The previous prime is 2118090127. The next prime is 2118090187. The reversal of 2118090128 is 8210908112.

It is a junction number, because it is equal to n+sod(n) for n = 2118090094 and 2118090103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2118090127) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1183058 + ... + 1184846.

It is an arithmetic number, because the mean of its divisors is an integer number (44081256).

Almost surely, 22118090128 is an apocalyptic number.

2118090128 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 2118090128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2644875360).

2118090128 is an abundant number, since it is smaller than the sum of its proper divisors (3171660592).

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

2118090128 is a wasteful number, since it uses less digits than its factorization.

2118090128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1877 (or 1840 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 32.

The square root of 2118090128 is about 46022.7131751269. The cubic root of 2118090128 is about 1284.2457741953.

The spelling of 2118090128 in words is "two billion, one hundred eighteen million, ninety thousand, one hundred twenty-eight".

Divisors: 1 2 4 7 8 11 14 16 22 28 31 44 56 62 77 88 112 124 154 176 217 248 308 341 434 496 616 682 868 961 1232 1364 1736 1789 1922 2387 2728 3472 3578 3844 4774 5456 6727 7156 7688 9548 10571 12523 13454 14312 15376 19096 19679 21142 25046 26908 28624 38192 39358 42284 50092 53816 55459 73997 78716 84568 100184 107632 110918 137753 147994 157432 169136 200368 221836 275506 295988 314864 388213 443672 551012 591976 610049 776426 887344 1102024 1183952 1220098 1552852 1719229 2204048 2440196 3105704 3438458 4270343 4880392 6211408 6876916 8540686 9760784 12034603 13753832 17081372 18911519 24069206 27507664 34162744 37823038 48138412 68325488 75646076 96276824 132380633 151292152 192553648 264761266 302584304 529522532 1059045064 2118090128