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11996441233920 = 29325111317243293
BaseRepresentation
bin1010111010010010001110…
…0111100100101000000000
31120110211220121122001111100
42232210203213210220000
53033022202423441140
641303031121214400
72345466666005133
oct256444347445000
946424817561440
1011996441233920
11390573136a210
121418ba7a91400
1369034b318b40
142d68b90c421a
1515c0c57a6530
hexae9239e4a00

11996441233920 has 2880 divisors, whose sum is σ = 53237530329984. Its totient is φ = 2459424522240.

The previous prime is 11996441233859. The next prime is 11996441233921. The reversal of 11996441233920 is 2933214469911.

11996441233920 is a `hidden beast` number, since 1 + 1 + 9 + 96 + 44 + 123 + 392 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is not an unprimeable number, because it can be changed into a prime (11996441233921) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 40943485294 + ... + 40943485586.

Almost surely, 211996441233920 is an apocalyptic number.

11996441233920 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 11996441233920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26618765164992).

11996441233920 is an abundant number, since it is smaller than the sum of its proper divisors (41241089096064).

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

11996441233920 is a wasteful number, since it uses less digits than its factorization.

11996441233920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 423 (or 387 counting only the distinct ones).

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

The spelling of 11996441233920 in words is "eleven trillion, nine hundred ninety-six billion, four hundred forty-one million, two hundred thirty-three thousand, nine hundred twenty".