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20332603293912 = 23357131131017131
BaseRepresentation
bin1001001111110000011011…
…00110001100000011011000
32122222210000002020110200000
410213320031212030003120
510131112132420401122
6111124400301013000
74165660602253260
oct447701546140330
978883002213600
1020332603293912
11652a010542638
122344717854160
13b46482931a20
145041634667a0
15253d6e9a00ac
hex127e0d98c0d8

20332603293912 has 384 divisors, whose sum is σ = 70907607912960. Its totient is φ = 5314984335360.

The previous prime is 20332603293907. The next prime is 20332603294007. The reversal of 20332603293912 is 21939230623302.

20332603293912 is a `hidden beast` number, since 2 + 0 + 3 + 3 + 2 + 603 + 2 + 9 + 39 + 1 + 2 = 666.

It is a super-2 number, since 2×203326032939122 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 19481587 + ... + 20498717.

It is an arithmetic number, because the mean of its divisors is an integer number (184655228940).

Almost surely, 220332603293912 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20332603293912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35453803956480).

20332603293912 is an abundant number, since it is smaller than the sum of its proper divisors (50575004619048).

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

20332603293912 is a wasteful number, since it uses less digits than its factorization.

20332603293912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1017285 (or 1017269 counting only the distinct ones).

The product of its (nonzero) digits is 629856, while the sum is 45.

The spelling of 20332603293912 in words is "twenty trillion, three hundred thirty-two billion, six hundred three million, two hundred ninety-three thousand, nine hundred twelve".