Search a number
-
+
108946974090 = 23529479261433
BaseRepresentation
bin110010101110110111…
…1101110010110001010
3101102012200221201101110
41211131233232112022
53241110411132330
6122014411431150
710604544000033
oct1453557562612
9342180851343
10108946974090
11422277aa169
12191461554b6
13a3732b5256
1453b73d1a8a
152c7993edb0
hex195dbee58a

108946974090 has 64 divisors (see below), whose sum is σ = 271054771200. Its totient is φ = 27992047104.

The previous prime is 108946974079. The next prime is 108946974091. The reversal of 108946974090 is 90479649801.

It is a self number, because there is not a number n which added to its sum of digits gives 108946974090.

It is not an unprimeable number, because it can be changed into a prime (108946974091) 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, 286014 + ... + 547446.

It is an arithmetic number, because the mean of its divisors is an integer number (4235230800).

Almost surely, 2108946974090 is an apocalyptic number.

108946974090 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 108946974090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135527385600).

108946974090 is an abundant number, since it is smaller than the sum of its proper divisors (162107797110).

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

108946974090 is a wasteful number, since it uses less digits than its factorization.

108946974090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261951.

The product of its (nonzero) digits is 3919104, while the sum is 57.

The spelling of 108946974090 in words is "one hundred eight billion, nine hundred forty-six million, nine hundred seventy-four thousand, ninety".

Divisors: 1 2 3 5 6 10 15 29 30 58 87 145 174 290 435 479 870 958 1437 2395 2874 4790 7185 13891 14370 27782 41673 69455 83346 138910 208365 261433 416730 522866 784299 1307165 1568598 2614330 3921495 7581557 7842990 15163114 22744671 37907785 45489342 75815570 113723355 125226407 227446710 250452814 375679221 626132035 751358442 1252264070 1878396105 3631565803 3756792210 7263131606 10894697409 18157829015 21789394818 36315658030 54473487045 108946974090