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2004036230336 = 2674879379803
BaseRepresentation
bin11101001010011001110…
…111100001110011000000
321002120202201201121002112
4131022121313201303000
5230313231233332321
64132350323234452
7264533612616320
oct35123167416300
97076681647075
102004036230336
117029a8230438
1228448b818a28
13116c9782c84a
146cdd2955280
15371e250ca5b
hex1d299de1cc0

2004036230336 has 112 divisors (see below), whose sum is σ = 4559525730816. Its totient is φ = 856106993664.

The previous prime is 2004036230333. The next prime is 2004036230353. The reversal of 2004036230336 is 6330326304002.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×20040362303362 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (2004036230333) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 204426011 + ... + 204435813.

It is an arithmetic number, because the mean of its divisors is an integer number (40710051168).

Almost surely, 22004036230336 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 2004036230336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2279762865408).

2004036230336 is an abundant number, since it is smaller than the sum of its proper divisors (2555489500480).

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

2004036230336 is an equidigital number, since it uses as much as digits as its factorization.

2004036230336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11246 (or 11236 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 32.

The spelling of 2004036230336 in words is "two trillion, four billion, thirty-six million, two hundred thirty thousand, three hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 224 448 487 937 974 1874 1948 3409 3748 3896 6559 6818 7496 7792 9803 13118 13636 14992 15584 19606 26236 27272 29984 31168 39212 52472 54544 59968 68621 78424 104944 109088 137242 156848 209888 218176 274484 313696 419776 456319 548968 627392 912638 1097936 1825276 2195872 3194233 3650552 4391744 4774061 6388466 7301104 9185411 9548122 12776932 14602208 18370822 19096244 25553864 29204416 33418427 36741644 38192488 51107728 64297877 66836854 73483288 76384976 102215456 128595754 133673708 146966576 152769952 204430912 257191508 267347416 293933152 305539904 514383016 534694832 587866304 1028766032 1069389664 2057532064 2138779328 4115064128 4473295157 8946590314 17893180628 31313066099 35786361256 62626132198 71572722512 125252264396 143145445024 250504528792 286290890048 501009057584 1002018115168 2004036230336