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12033499968 = 26357215791
BaseRepresentation
bin10110011010100000…
…01010001101000000
31011001122011010200000
423031100022031000
5144121033444333
65310023400000
7604126030200
oct131520121500
934048133600
1012033499968
1151156626a6
1223b9bb3000
13119a0938a9
1482225c400
154a668b713
hex2cd40a340

12033499968 has 252 divisors, whose sum is σ = 41611856832. Its totient is φ = 3437925120.

The previous prime is 12033499921. The next prime is 12033499979. The reversal of 12033499968 is 86999433021.

12033499968 is a `hidden beast` number, since 1 + 203 + 349 + 9 + 96 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (252).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 754153 + ... + 769943.

It is an arithmetic number, because the mean of its divisors is an integer number (165126416).

Almost surely, 212033499968 is an apocalyptic number.

12033499968 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 12033499968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20805928416).

12033499968 is an abundant number, since it is smaller than the sum of its proper divisors (29578356864).

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

12033499968 is an equidigital number, since it uses as much as digits as its factorization.

12033499968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15832 (or 15803 counting only the distinct ones).

The product of its (nonzero) digits is 2519424, while the sum is 54.

The spelling of 12033499968 in words is "twelve billion, thirty-three million, four hundred ninety-nine thousand, nine hundred sixty-eight".