Search a number
-
+
109712453760 = 27325713209311
BaseRepresentation
bin110011000101101011…
…1110011000010000000
3101111012001100010002100
41212023113303002000
53244142342010020
6122222354350400
710632530320140
oct1461327630200
9344161303070
10109712453760
114258a902398
121931a58b400
13a465a6c7c0
14544ad32920
152cc1c48a90
hex198b5f3080

109712453760 has 384 divisors, whose sum is σ = 466280156160. Its totient is φ = 23148011520.

The previous prime is 109712453731. The next prime is 109712453771. The reversal of 109712453760 is 67354217901.

109712453760 is a `hidden beast` number, since 1 + 0 + 97 + 1 + 24 + 537 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 419505 + ... + 628815.

It is an arithmetic number, because the mean of its divisors is an integer number (1214271240).

Almost surely, 2109712453760 is an apocalyptic number.

109712453760 is a gapful number since it is divisible by the number (10) 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 109712453760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233140078080).

109712453760 is an abundant number, since it is smaller than the sum of its proper divisors (356567702400).

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

109712453760 is a wasteful number, since it uses less digits than its factorization.

109712453760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209356 (or 209341 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The spelling of 109712453760 in words is "one hundred nine billion, seven hundred twelve million, four hundred fifty-three thousand, seven hundred sixty".