Search a number
-
+
11900636748 = 223371113315367
BaseRepresentation
bin10110001010101010…
…10100111001001100
31010201101010222121000
423011111110321030
5143333030333443
65244515540300
7600623512650
oct130525247114
933641128530
1011900636748
115057665590
1223815ba690
1311786b4ac0
1480c754a60
15499b948d3
hex2c5554e4c

11900636748 has 768 divisors, whose sum is σ = 44219105280. Its totient is φ = 2668723200.

The previous prime is 11900636731. The next prime is 11900636749. The reversal of 11900636748 is 84763600911.

It is a happy number.

11900636748 is a `hidden beast` number, since 1 + 1 + 9 + 0 + 0 + 636 + 7 + 4 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (11900636749) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 177621411 + ... + 177621477.

It is an arithmetic number, because the mean of its divisors is an integer number (57576960).

Almost surely, 211900636748 is an apocalyptic number.

11900636748 is a gapful number since it is divisible by the number (18) 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 11900636748, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22109552640).

11900636748 is an abundant number, since it is smaller than the sum of its proper divisors (32318468532).

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

11900636748 is a wasteful number, since it uses less digits than its factorization.

11900636748 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 11900636748 in words is "eleven billion, nine hundred million, six hundred thirty-six thousand, seven hundred forty-eight".