Search a number
-
+
178931420928 = 283513972281
BaseRepresentation
bin1010011010100100100…
…1001100111100000000
3122002212001000222100000
42212221021030330000
510412422420432203
6214111105200000
715633041661141
oct2465111147400
9562761028300
10178931420928
1169980138987
122a817930000
1313b47445540
148935d19ac8
1549c39cc4a3
hex29a924cf00

178931420928 has 432 divisors, whose sum is σ = 582360667616. Its totient is φ = 54464348160.

The previous prime is 178931420897. The next prime is 178931420947. The reversal of 178931420928 is 829024139871.

It is a tau number, because it is divible by the number of its divisors (432).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 78443148 + ... + 78445428.

Almost surely, 2178931420928 is an apocalyptic number.

178931420928 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 178931420928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291180333808).

178931420928 is an abundant number, since it is smaller than the sum of its proper divisors (403429246688).

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

178931420928 is an equidigital number, since it uses as much as digits as its factorization.

178931420928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2422 (or 2396 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The spelling of 178931420928 in words is "one hundred seventy-eight billion, nine hundred thirty-one million, four hundred twenty thousand, nine hundred twenty-eight".