Search a number
-
+
2676100109260 = 22537179155912959
BaseRepresentation
bin100110111100010011111…
…111110001001111001100
3100110211111000111000002111
4212330103333301033030
5322321123111444020
65405214452433404
7364225153416604
oct46742377611714
910424430430074
102676100109260
11941a22822866
12372790618864
13165480386416
1493749977c04
1549928c6ad5a
hex26f13ff13cc

2676100109260 has 96 divisors (see below), whose sum is σ = 5808112128000. Its totient is φ = 1034946544896.

The previous prime is 2676100109257. The next prime is 2676100109261. The reversal of 2676100109260 is 629010016762.

It is not an unprimeable number, because it can be changed into a prime (2676100109261) 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, 206498661 + ... + 206511619.

It is an arithmetic number, because the mean of its divisors is an integer number (60501168000).

Almost surely, 22676100109260 is an apocalyptic number.

2676100109260 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 2676100109260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2904056064000).

2676100109260 is an abundant number, since it is smaller than the sum of its proper divisors (3132012018740).

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

2676100109260 is a wasteful number, since it uses less digits than its factorization.

2676100109260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14743 (or 14741 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 40.

The spelling of 2676100109260 in words is "two trillion, six hundred seventy-six billion, one hundred million, one hundred nine thousand, two hundred sixty".

Divisors: 1 2 4 5 10 20 37 74 148 179 185 358 370 716 740 895 1559 1790 3118 3580 6236 6623 7795 12959 13246 15590 25918 26492 31180 33115 51836 57683 64795 66230 115366 129590 132460 230732 259180 279061 288415 479483 558122 576830 958966 1116244 1153660 1395305 1917932 2319661 2397415 2790610 4639322 4794830 5581220 9278644 9589660 10325257 11598305 20203081 20650514 23196610 40406162 41301028 46393220 51626285 80812324 85827457 101015405 103252570 171654914 202030810 206505140 343309828 404061620 429137285 747513997 858274570 1495027994 1716549140 2990055988 3616351499 3737569985 7232702998 7475139970 14465405996 14950279940 18081757495 36163514990 72327029980 133805005463 267610010926 535220021852 669025027315 1338050054630 2676100109260