Search a number
-
+
24994897920 = 21333597233
BaseRepresentation
bin10111010001110011…
…111110000000000000
32101111221022101002000
4113101303332000000
5402142143213140
615252115224000
71543253061336
oct272163760000
971457271060
1024994897920
11a666a71833
124a168a8000
13248446b135
1412d1819b56
159b4515a30
hex5d1cfe000

24994897920 has 448 divisors, whose sum is σ = 90166789440. Its totient is φ = 6568280064.

The previous prime is 24994897913. The next prime is 24994897943. The reversal of 24994897920 is 2979849942.

It is a super-3 number, since 3×249948979203 (a number of 32 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 107274124 + ... + 107274356.

It is an arithmetic number, because the mean of its divisors is an integer number (201265155).

Almost surely, 224994897920 is an apocalyptic number.

24994897920 is a gapful number since it is divisible by the number (20) 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 24994897920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45083394720).

24994897920 is an abundant number, since it is smaller than the sum of its proper divisors (65171891520).

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

24994897920 is an equidigital number, since it uses as much as digits as its factorization.

24994897920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 370 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 23514624, while the sum is 63.

The spelling of 24994897920 in words is "twenty-four billion, nine hundred ninety-four million, eight hundred ninety-seven thousand, nine hundred twenty".