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2051030016 = 21032731793
BaseRepresentation
bin111101001000000…
…0011110000000000
312021221101010020200
41322100003300000
513200030430031
6535304405200
7101553316230
oct17220036000
95257333220
102051030016
11962831232
12492a76800
13268c03539
1415657dcc0
15c00e28e6
hex7a403c00

2051030016 has 132 divisors (see below), whose sum is σ = 6768561072. Its totient is φ = 585990144.

The previous prime is 2051030011. The next prime is 2051030021. The reversal of 2051030016 is 6100301502.

It is an interprime number because it is at equal distance from previous prime (2051030011) and next prime (2051030021).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2051030011) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 48616 + ... + 80408.

Almost surely, 22051030016 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 2051030016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3384280536).

2051030016 is an abundant number, since it is smaller than the sum of its proper divisors (4717531056).

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

2051030016 is a wasteful number, since it uses less digits than its factorization.

2051030016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31826 (or 31805 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 2051030016 is about 45288.2988861361. The cubic root of 2051030016 is about 1270.5468155948.

Adding to 2051030016 its reverse (6100301502), we get a palindrome (8151331518).

The spelling of 2051030016 in words is "two billion, fifty-one million, thirty thousand, sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 128 144 168 192 224 252 256 288 336 384 448 504 512 576 672 768 896 1008 1024 1152 1344 1536 1792 2016 2304 2688 3072 3584 4032 4608 5376 7168 8064 9216 10752 16128 21504 31793 32256 63586 64512 95379 127172 190758 222551 254344 286137 381516 445102 508688 572274 667653 763032 890204 1017376 1144548 1335306 1526064 1780408 2002959 2034752 2289096 2670612 3052128 3560816 4005918 4069504 4578192 5341224 6104256 7121632 8011836 8139008 9156384 10682448 12208512 14243264 16023672 16278016 18312768 21364896 24417024 28486528 32047344 32556032 36625536 42729792 48834048 56973056 64094688 73251072 85459584 97668096 113946112 128189376 146502144 170919168 227892224 256378752 293004288 341838336 512757504 683676672 1025515008 2051030016