Search a number
-
+
9390081888408 = 233131931375989263
BaseRepresentation
bin1000100010100100110001…
…1111101101000010011000
31020020200102221200220222210
42020221030133231002120
52212321341430412113
631545424415115120
71656260661054114
oct210511437550230
936220387626883
109390081888408
112aa0347477491
121077a3b512aa0
13531633782640
142466a7960744
151143ce4e06c3
hex88a4c7ed098

9390081888408 has 1024 divisors, whose sum is σ = 29123297280000. Its totient is φ = 2495625707520.

The previous prime is 9390081888401. The next prime is 9390081888419. The reversal of 9390081888408 is 8048881800939.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9390081888401) by changing a digit.

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 255 ways as a sum of consecutive naturals, for example, 35703733285 + ... + 35703733547.

It is an arithmetic number, because the mean of its divisors is an integer number (28440720000).

Almost surely, 29390081888408 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 9390081888408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14561648640000).

9390081888408 is an abundant number, since it is smaller than the sum of its proper divisors (19733215391592).

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

9390081888408 is a wasteful number, since it uses less digits than its factorization.

9390081888408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 520 (or 516 counting only the distinct ones).

The product of its (nonzero) digits is 31850496, while the sum is 66.

The spelling of 9390081888408 in words is "nine trillion, three hundred ninety billion, eighty-one million, eight hundred eighty-eight thousand, four hundred eight".