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11832023808 = 28351117291
BaseRepresentation
bin10110000010011111…
…00101101100000000
31010112121001002100000
423001033211230000
5143212444230213
65234025200000
7566131354143
oct130117455400
933477032300
1011832023808
115021961680
122362630000
131167410727
148035b405a
15493b3ec73
hex2c13e5b00

11832023808 has 216 divisors, whose sum is σ = 38596574016. Its totient is φ = 3585254400.

The previous prime is 11832023807. The next prime is 11832023891. The reversal of 11832023808 is 80832023811.

It is a tau number, because it is divible by the number of its divisors (216).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (11832023807) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 675643 + ... + 692933.

Almost surely, 211832023808 is an apocalyptic number.

11832023808 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 11832023808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19298287008).

11832023808 is an abundant number, since it is smaller than the sum of its proper divisors (26764550208).

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

11832023808 is an equidigital number, since it uses as much as digits as its factorization.

11832023808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17333 (or 17307 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 11832023808 in words is "eleven billion, eight hundred thirty-two million, twenty-three thousand, eight hundred eight".