Search a number
-
+
13374885888 = 21234713443
BaseRepresentation
bin11000111010011010…
…01001000000000000
31021112010012121020000
430131031021000000
5204342432322023
610051102120000
7652304440260
oct143515110000
937463177200
1013374885888
115743857801
122713280000
131351c5c180
1490c4737a0
15534304243
hex31d349000

13374885888 has 520 divisors, whose sum is σ = 49285967808. Its totient is φ = 3519479808.

The previous prime is 13374885863. The next prime is 13374885947. The reversal of 13374885888 is 88858847331.

13374885888 is a `hidden beast` number, since 1 + 3 + 3 + 7 + 48 + 8 + 588 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 30191395 + ... + 30191837.

Almost surely, 213374885888 is an apocalyptic number.

13374885888 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 13374885888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24642983904).

13374885888 is an abundant number, since it is smaller than the sum of its proper divisors (35911081920).

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

13374885888 is an equidigital number, since it uses as much as digits as its factorization.

13374885888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 499 (or 468 counting only the distinct ones).

The product of its digits is 41287680, while the sum is 63.

The spelling of 13374885888 in words is "thirteen billion, three hundred seventy-four million, eight hundred eighty-five thousand, eight hundred eighty-eight".