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2004308863232 = 2813661911129
BaseRepresentation
bin11101001010101010000…
…111100010100100000000
321002121110201201210010012
4131022222013202210000
5230314311032110412
64132433342524052
7264543433144364
oct35125207424400
97077421653105
102004308863232
11703028112585
12284546b96628
1311700c167ba0
146d01ac432a4
153720b412c22
hex1d2aa1e2900

2004308863232 has 72 divisors (see below), whose sum is σ = 4315064301240. Its totient is φ = 923665121280.

The previous prime is 2004308863217. The next prime is 2004308863241. The reversal of 2004308863232 is 2323688034002.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 28867369216 + 1975441494016 = 169904^2 + 1405504^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 2004308863232.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1744244 + ... + 2655372.

Almost surely, 22004308863232 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 2004308863232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2157532150620).

2004308863232 is an abundant number, since it is smaller than the sum of its proper divisors (2310755438008).

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

2004308863232 is an equidigital number, since it uses as much as digits as its factorization.

2004308863232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 911819 (or 911805 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 41.

The spelling of 2004308863232 in words is "two trillion, four billion, three hundred eight million, eight hundred sixty-three thousand, two hundred thirty-two".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 256 416 661 832 1322 1664 2644 3328 5288 8593 10576 17186 21152 34372 42304 68744 84608 137488 169216 274976 549952 911129 1099904 1822258 2199808 3644516 7289032 11844677 14578064 23689354 29156128 47378708 58312256 94757416 116624512 189514832 233249024 379029664 602256269 758059328 1204512538 1516118656 2409025076 3032237312 4818050152 7829331497 9636100304 15658662994 19272200608 31317325988 38544401216 62634651976 77088802432 125269303952 154177604864 250538607904 501077215808 1002154431616 2004308863232