Search a number
-
+
11535393792 = 2103132171307
BaseRepresentation
bin10101011111001000…
…00010010000000000
31002202220212201110010
422233210002100000
5142111030100132
65144351304520
7555600141456
oct125744022000
932686781403
1011535393792
11498a47a0aa
12229b21b140
13111ab22800
147b603a9d6
15477a996cc
hex2af902400

11535393792 has 264 divisors, whose sum is σ = 35278423776. Its totient is φ = 3338010624.

The previous prime is 11535393761. The next prime is 11535393799. The reversal of 11535393792 is 29739353511.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (11535393799) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8825203 + ... + 8826509.

Almost surely, 211535393792 is an apocalyptic number.

11535393792 is a gapful number since it is divisible by the number (12) 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 11535393792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17639211888).

11535393792 is an abundant number, since it is smaller than the sum of its proper divisors (23743029984).

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

11535393792 is a wasteful number, since it uses less digits than its factorization.

11535393792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1373 (or 1342 counting only the distinct ones).

The product of its digits is 765450, while the sum is 48.

The spelling of 11535393792 in words is "eleven billion, five hundred thirty-five million, three hundred ninety-three thousand, seven hundred ninety-two".