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2010314432 = 26736712227
BaseRepresentation
bin111011111010010…
…1111011011000000
312012002202112222002
41313310233123000
513104120030212
6531252003132
7100550251010
oct16764573300
95162675862
102010314432
11941851a95
124813004a8
13260649089
14150dc1c40
15bb74dac2
hex77d2f6c0

2010314432 has 56 divisors (see below), whose sum is σ = 4571902464. Its totient is φ = 859145472.

The previous prime is 2010314401. The next prime is 2010314461. The reversal of 2010314432 is 2344130102.

It is a tau number, because it is divible by the number of its divisors (56).

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, 158303 + ... + 170529.

Almost surely, 22010314432 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 2010314432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2285951232).

2010314432 is an abundant number, since it is smaller than the sum of its proper divisors (2561588032).

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

2010314432 is a wasteful number, since it uses less digits than its factorization.

2010314432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12613 (or 12603 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 2010314432 is about 44836.5301065995. The cubic root of 2010314432 is about 1262.0832321958.

Adding to 2010314432 its reverse (2344130102), we get a palindrome (4354444534).

The spelling of 2010314432 in words is "two billion, ten million, three hundred fourteen thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 224 367 448 734 1468 2569 2936 5138 5872 10276 11744 12227 20552 23488 24454 41104 48908 82208 85589 97816 164416 171178 195632 342356 391264 684712 782528 1369424 2738848 4487309 5477696 8974618 17949236 31411163 35898472 62822326 71796944 125644652 143593888 251289304 287187776 502578608 1005157216 2010314432