Search a number
-
+
925263643920 = 24357113111314293
BaseRepresentation
bin11010111011011100000…
…00101100010100010000
310021110021012210011111220
431131232000230110100
5110124414443101140
61545021003005040
7123563616131040
oct15355600542420
93243235704456
10925263643920
11327447229460
1212b3a4b09780
1369337801335
1432ad679b720
151910542abd0
hexd76e02c510

925263643920 has 640 divisors, whose sum is σ = 3724369625088. Its totient is φ = 184401100800.

The previous prime is 925263643919. The next prime is 925263643933. The reversal of 925263643920 is 29346362529.

It is a super-2 number, since 2×9252636439202 (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 64728294 + ... + 64742586.

Almost surely, 2925263643920 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 925263643920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1862184812544).

925263643920 is an abundant number, since it is smaller than the sum of its proper divisors (2799105981168).

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

925263643920 is a wasteful number, since it uses less digits than its factorization.

925263643920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14471 (or 14465 counting only the distinct ones).

The product of its (nonzero) digits is 4199040, while the sum is 51.

The spelling of 925263643920 in words is "nine hundred twenty-five billion, two hundred sixty-three million, six hundred forty-three thousand, nine hundred twenty".