Search a number
-
+
109259687328 = 25311523197831
BaseRepresentation
bin110010111000001100…
…0101000010110100000
3101110000111101012022020
41211300120220112200
53242230434443303
6122105422141440
710615362006321
oct1456030502640
9343014335266
10109259687328
1142378277260
1219212a21880
13a3c301487c
145406b54448
152c97110a53
hex19706285a0

109259687328 has 96 divisors (see below), whose sum is σ = 313479839232. Its totient is φ = 33045523200.

The previous prime is 109259687287. The next prime is 109259687357. The reversal of 109259687328 is 823786952901.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 453373 + ... + 651203.

It is an arithmetic number, because the mean of its divisors is an integer number (3265414992).

Almost surely, 2109259687328 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 109259687328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156739919616).

109259687328 is an abundant number, since it is smaller than the sum of its proper divisors (204220151904).

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

109259687328 is a wasteful number, since it uses less digits than its factorization.

109259687328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198378 (or 198370 counting only the distinct ones).

The product of its (nonzero) digits is 13063680, while the sum is 60.

The spelling of 109259687328 in words is "one hundred nine billion, two hundred fifty-nine million, six hundred eighty-seven thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 523 528 1046 1056 1569 2092 3138 4184 5753 6276 8368 11506 12552 16736 17259 23012 25104 34518 46024 50208 69036 92048 138072 184096 197831 276144 395662 552288 593493 791324 1186986 1582648 2176141 2373972 3165296 4352282 4747944 6330592 6528423 8704564 9495888 13056846 17409128 18991776 26113692 34818256 52227384 69636512 103465613 104454768 206931226 208909536 310396839 413862452 620793678 827724904 1138121743 1241587356 1655449808 2276243486 2483174712 3310899616 3414365229 4552486972 4966349424 6828730458 9104973944 9932698848 13657460916 18209947888 27314921832 36419895776 54629843664 109259687328