Search a number
-
+
11912896320 = 2635132833373
BaseRepresentation
bin10110001100001000…
…00101111101000000
31010202020012211120020
423012010011331000
5143344200140240
65250034413440
7601132643103
oct130604057500
933666184506
1011912896320
115063579366
122385731280
13117b0b7ca0
1481022673a
1549acb70d0
hex2c6105f40

11912896320 has 224 divisors, whose sum is σ = 40888993152. Its totient is φ = 2921177088.

The previous prime is 11912896309. The next prime is 11912896321. The reversal of 11912896320 is 2369821911.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11912896321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3530154 + ... + 3533526.

It is an arithmetic number, because the mean of its divisors is an integer number (182540148).

Almost surely, 211912896320 is an apocalyptic number.

11912896320 is a gapful number since it is divisible by the number (10) 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 11912896320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20444496576).

11912896320 is an abundant number, since it is smaller than the sum of its proper divisors (28976096832).

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

11912896320 is a wasteful number, since it uses less digits than its factorization.

11912896320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3689 (or 3679 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 42.

The spelling of 11912896320 in words is "eleven billion, nine hundred twelve million, eight hundred ninety-six thousand, three hundred twenty".