Search a number
-
+
13341771630 = 237511311789
BaseRepresentation
bin11000110110011101…
…10100011101101110
31021102210220020000000
430123032310131232
5204310443143010
610043520245130
7651423121245
oct143316643556
937383806000
1013341771630
11572709a550
1227041707a6
131348136835
14907cd395c
155314627c0
hex31b3b476e

13341771630 has 256 divisors, whose sum is σ = 40581734400. Its totient is φ = 3128284800.

The previous prime is 13341771617. The next prime is 13341771631. The reversal of 13341771630 is 3617714331.

13341771630 is a `hidden beast` number, since 1 + 3 + 3 + 4 + 17 + 7 + 1 + 630 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13341771631) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 7456776 + ... + 7458564.

It is an arithmetic number, because the mean of its divisors is an integer number (158522400).

Almost surely, 213341771630 is an apocalyptic number.

13341771630 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13341771630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20290867200).

13341771630 is an abundant number, since it is smaller than the sum of its proper divisors (27239962770).

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

13341771630 is a wasteful number, since it uses less digits than its factorization.

13341771630 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1859 (or 1841 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 36.

The spelling of 13341771630 in words is "thirteen billion, three hundred forty-one million, seven hundred seventy-one thousand, six hundred thirty".