Search a number
-
+
900023693520 = 2435721920032011
BaseRepresentation
bin11010001100011011001…
…01111011000011010000
310012001010012100211122010
431012031211323003100
5104221222031143040
61525244251142520
7122011266111600
oct15061545730320
93161105324563
10900023693520
11317774a03116
12126520144a40
1366b44663743
14317c05d2c00
151862965be80
hexd18d97b0d0

900023693520 has 480 divisors, whose sum is σ = 3419821831680. Its totient is φ = 194698183680.

The previous prime is 900023693473. The next prime is 900023693561. The reversal of 900023693520 is 25396320009.

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 447549315 + ... + 447551325.

It is an arithmetic number, because the mean of its divisors is an integer number (7124628816).

Almost surely, 2900023693520 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 900023693520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1709910915840).

900023693520 is an abundant number, since it is smaller than the sum of its proper divisors (2519798138160).

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

900023693520 is a wasteful number, since it uses less digits than its factorization.

900023693520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4063 (or 4050 counting only the distinct ones).

The product of its (nonzero) digits is 87480, while the sum is 39.

The spelling of 900023693520 in words is "nine hundred billion, twenty-three million, six hundred ninety-three thousand, five hundred twenty".