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2029414912 = 2971135011
BaseRepresentation
bin111100011110110…
…0110101000000000
312020102200221220021
41320331212220000
513124012234122
6533213223224
7101201512360
oct17075465000
95212627807
102029414912
11951608508
12487791b14
132645a5c35
141537549a0
15bd2731c7
hex78f66a00

2029414912 has 80 divisors (see below), whose sum is σ = 4676075712. Its totient is φ = 861880320.

The previous prime is 2029414853. The next prime is 2029414921. The reversal of 2029414912 is 2194149202.

It is a happy number.

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, 402487 + ... + 407497.

Almost surely, 22029414912 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 2029414912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2338037856).

2029414912 is an abundant number, since it is smaller than the sum of its proper divisors (2646660800).

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

2029414912 is an equidigital number, since it uses as much as digits as its factorization.

2029414912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5149 (or 5133 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 34.

The square root of 2029414912 is about 45049.0278696444. The cubic root of 2029414912 is about 1266.0677579874.

The spelling of 2029414912 in words is "two billion, twenty-nine million, four hundred fourteen thousand, nine hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 113 128 224 226 256 448 452 512 791 896 904 1582 1792 1808 3164 3584 3616 5011 6328 7232 10022 12656 14464 20044 25312 28928 35077 40088 50624 57856 70154 80176 101248 140308 160352 202496 280616 320704 404992 561232 566243 641408 1122464 1132486 1282816 2244928 2264972 2565632 3963701 4489856 4529944 7927402 8979712 9059888 15854804 17959424 18119776 31709608 36239552 63419216 72479104 126838432 144958208 253676864 289916416 507353728 1014707456 2029414912