Search a number
-
+
989541407400 = 2335272132792521
BaseRepresentation
bin11100110011001010100…
…00111001101010101000
310111121011211201212120120
432121211100321222220
5112203040100014100
62034331122323240
7131330521116300
oct16314520715250
93447154655516
10989541407400
11351731366537
1213b9434b9520
137240c593600
1435c7342a600
151ab184be0a0
hexe665439aa8

989541407400 has 864 divisors, whose sum is σ = 3914478921600. Its totient is φ = 206057779200.

The previous prime is 989541407389. The next prime is 989541407461. The reversal of 989541407400 is 4704145989.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 392518140 + ... + 392520660.

It is an arithmetic number, because the mean of its divisors is an integer number (4530646900).

Almost surely, 2989541407400 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 989541407400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1957239460800).

989541407400 is an abundant number, since it is smaller than the sum of its proper divisors (2924937514200).

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

989541407400 is a wasteful number, since it uses less digits than its factorization.

989541407400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2659 (or 2630 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 51.

The spelling of 989541407400 in words is "nine hundred eighty-nine billion, five hundred forty-one million, four hundred seven thousand, four hundred".