Search a number
-
+
108926211240 = 23345711735981
BaseRepresentation
bin110010101110010000…
…0100001010010101000
3101102011020212212010000
41211130200201102220
53241040102224430
6122012350423000
710604202342660
oct1453440412250
9342136785100
10108926211240
1142217008790
121913b201a60
13a36bbc5842
1453b47491a0
152c77bdce60
hex195c8214a8

108926211240 has 640 divisors, whose sum is σ = 462782833920. Its totient is φ = 22320230400.

The previous prime is 108926211227. The next prime is 108926211241. The reversal of 108926211240 is 42112629801.

108926211240 is a `hidden beast` number, since 1 + 0 + 8 + 9 + 2 + 621 + 1 + 24 + 0 = 666.

It is a super-2 number, since 2×1089262112402 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 108926211195 and 108926211204.

It is not an unprimeable number, because it can be changed into a prime (108926211241) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 18209050 + ... + 18215030.

It is an arithmetic number, because the mean of its divisors is an integer number (723098178).

Almost surely, 2108926211240 is an apocalyptic number.

108926211240 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 108926211240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231391416960).

108926211240 is an abundant number, since it is smaller than the sum of its proper divisors (353856622680).

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

108926211240 is a wasteful number, since it uses less digits than its factorization.

108926211240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6095 (or 6082 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The spelling of 108926211240 in words is "one hundred eight billion, nine hundred twenty-six million, two hundred eleven thousand, two hundred forty".