Search a number
-
+
1195226426880 = 2933522697621
BaseRepresentation
bin10001011001001001000…
…010111110111000000000
311020021002101101110201000
4101121021002332320000
5124040310431130010
62313025054212000
7152231553000153
oct21311102767000
94207071343630
101195226426880
11420990181a42
12173786ab4000
138892b636c25
1441bc6567c9a
1521155aad7c0
hex116490bee00

1195226426880 has 320 divisors, whose sum is σ = 4247972308800. Its totient is φ = 318544773120.

The previous prime is 1195226426879. The next prime is 1195226426887. The reversal of 1195226426880 is 886246225911.

1195226426880 is a `hidden beast` number, since 1 + 19 + 522 + 6 + 4 + 26 + 8 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1195226426887) 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, 156829470 + ... + 156837090.

It is an arithmetic number, because the mean of its divisors is an integer number (13274913465).

Almost surely, 21195226426880 is an apocalyptic number.

1195226426880 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 1195226426880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2123986154400).

1195226426880 is an abundant number, since it is smaller than the sum of its proper divisors (3052745881920).

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

1195226426880 is an equidigital number, since it uses as much as digits as its factorization.

1195226426880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9922 (or 9900 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

The spelling of 1195226426880 in words is "one trillion, one hundred ninety-five billion, two hundred twenty-six million, four hundred twenty-six thousand, eight hundred eighty".