Search a number
-
+
15401363328 = 27351341929
BaseRepresentation
bin11100101011111111…
…00010011110000000
31110202100101022200000
432111333202132000
5223020222111303
611024132400000
71053442266621
oct162577423600
943670338600
1015401363328
11659373924a
122b99a76000
1315b5a47050
14a61661a48
15602196da3
hex395fe2780

15401363328 has 384 divisors, whose sum is σ = 50757688800. Its totient is φ = 4618321920.

The previous prime is 15401363323. The next prime is 15401363357. The reversal of 15401363328 is 82336310451.

15401363328 is a `hidden beast` number, since 1 + 5 + 4 + 0 + 13 + 633 + 2 + 8 = 666.

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

It is a super-2 number, since 2×154013633282 (a number of 21 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 = 15401363292 and 15401363301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15401363323) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16577968 + ... + 16578896.

Almost surely, 215401363328 is an apocalyptic number.

15401363328 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 15401363328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25378844400).

15401363328 is an abundant number, since it is smaller than the sum of its proper divisors (35356325472).

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

15401363328 is an equidigital number, since it uses as much as digits as its factorization.

15401363328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1012 (or 988 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

Adding to 15401363328 its reverse (82336310451), we get a palindrome (97737673779).

The spelling of 15401363328 in words is "fifteen billion, four hundred one million, three hundred sixty-three thousand, three hundred twenty-eight".