Search a number
-
+
983139480400 = 2452711238531627
BaseRepresentation
bin11100100111001111010…
…11011111001101010000
310110222122200101021201011
432103213223133031100
5112101432201333100
62031351551020304
7131013053462140
oct16234753371520
93428580337634
10983139480400
11349a46673a80
1213a65750a694
137192c16011c
14358270b4920
151a891441bba
hexe4e7adf350

983139480400 has 480 divisors, whose sum is σ = 3078350972928. Its totient is φ = 292586342400.

The previous prime is 983139480373. The next prime is 983139480409. The reversal of 983139480400 is 4084931389.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (983139480409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 604264387 + ... + 604266013.

Almost surely, 2983139480400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 983139480400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1539175486464).

983139480400 is an abundant number, since it is smaller than the sum of its proper divisors (2095211492528).

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

983139480400 is a wasteful number, since it uses less digits than its factorization.

983139480400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2539 (or 2528 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 49.

The spelling of 983139480400 in words is "nine hundred eighty-three billion, one hundred thirty-nine million, four hundred eighty thousand, four hundred".