Search a number
-
+
109488734208 = 2153477183
BaseRepresentation
bin110010111111000001…
…0011000000000000000
3101110121110100222120000
41211332002120000000
53243213103443313
6122144243320000
710624142612430
oct1457602300000
9343543328500
10109488734208
11424855995a7
1219277680000
13a42b5cc079
1454293382c0
152cac2a6673
hex197e098000

109488734208 has 640 divisors, whose sum is σ = 383672298240. Its totient is φ = 30470307840.

The previous prime is 109488734191. The next prime is 109488734231. The reversal of 109488734208 is 802437884901.

It is a happy number.

109488734208 is a `hidden beast` number, since 109 + 48 + 8 + 73 + 420 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1319141335 + ... + 1319141417.

It is an arithmetic number, because the mean of its divisors is an integer number (599487966).

Almost surely, 2109488734208 is an apocalyptic number.

109488734208 is a gapful number since it is divisible by the number (18) 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 109488734208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191836149120).

109488734208 is an abundant number, since it is smaller than the sum of its proper divisors (274183564032).

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

109488734208 is an frugal number, since it uses more digits than its factorization.

109488734208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The spelling of 109488734208 in words is "one hundred nine billion, four hundred eighty-eight million, seven hundred thirty-four thousand, two hundred eight".