Search a number
-
+
2109418608 = 2431119283743
BaseRepresentation
bin111110110111011…
…0010110001110000
312110000020120100010
41331232302301300
513310002343413
6545152054520
7103162522323
oct17556626160
95400216303
102109418608
11992791470
124aa534440
13278037bbb
1416021c7ba
15c52c7dc3
hex7dbb2c70

2109418608 has 160 divisors (see below), whose sum is σ = 6288168960. Its totient is φ = 602622720.

The previous prime is 2109418601. The next prime is 2109418631. The reversal of 2109418608 is 8068149012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2109418601) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2838685 + ... + 2839427.

It is an arithmetic number, because the mean of its divisors is an integer number (39301056).

Almost surely, 22109418608 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 2109418608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3144084480).

2109418608 is an abundant number, since it is smaller than the sum of its proper divisors (4178750352).

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

2109418608 is a wasteful number, since it uses less digits than its factorization.

2109418608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1067 (or 1061 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 39.

The square root of 2109418608 is about 45928.4074185030. The cubic root of 2109418608 is about 1282.4907977103.

The spelling of 2109418608 in words is "two billion, one hundred nine million, four hundred eighteen thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 11 12 16 19 22 24 33 38 44 48 57 66 76 88 114 132 152 176 209 228 264 283 304 418 456 528 566 627 743 836 849 912 1132 1254 1486 1672 1698 2229 2264 2508 2972 3113 3344 3396 4458 4528 5016 5377 5944 6226 6792 8173 8916 9339 10032 10754 11888 12452 13584 14117 16131 16346 17832 18678 21508 24519 24904 28234 32262 32692 35664 37356 42351 43016 49038 49808 56468 59147 64524 65384 74712 84702 86032 98076 112936 118294 129048 130768 149424 155287 169404 177441 196152 210269 225872 236588 258096 310574 338808 354882 392304 420538 465861 473176 621148 630807 677616 709764 841076 931722 946352 1242296 1261614 1419528 1682152 1863444 2312959 2484592 2523228 2839056 3364304 3726888 3995111 4625918 5046456 6938877 7453776 7990222 9251836 10092912 11985333 13877754 15980444 18503672 23970666 27755508 31960888 37007344 43946221 47941332 55511016 63921776 87892442 95882664 111022032 131838663 175784884 191765328 263677326 351569768 527354652 703139536 1054709304 2109418608