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2031411616 = 25136777213
BaseRepresentation
bin111100100010100…
…1110000110100000
312020120110101212021
41321011032012200
513130020132431
6533324111224
7101224466563
oct17105160640
95216411767
102031411616
11952751683
12488395514
13264b24a10
14153b144da
15bd519b11
hex7914e1a0

2031411616 has 48 divisors (see below), whose sum is σ = 4313943144. Its totient is φ = 936059904.

The previous prime is 2031411611. The next prime is 2031411631. The reversal of 2031411616 is 6161141302.

It can be written as a sum of positive squares in 4 ways, for example, as 2025360016 + 6051600 = 45004^2 + 2460^2 .

It is not an unprimeable number, because it can be changed into a prime (2031411611) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 278026 + ... + 285238.

Almost surely, 22031411616 is an apocalyptic number.

2031411616 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2031411616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2156971572).

2031411616 is an abundant number, since it is smaller than the sum of its proper divisors (2282531528).

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

2031411616 is a wasteful number, since it uses less digits than its factorization.

2031411616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7913 (or 7905 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 25.

The square root of 2031411616 is about 45071.1838761753. The cubic root of 2031411616 is about 1266.4828421450.

Adding to 2031411616 its reverse (6161141302), we get a palindrome (8192552918).

The spelling of 2031411616 in words is "two billion, thirty-one million, four hundred eleven thousand, six hundred sixteen".

Divisors: 1 2 4 8 13 16 26 32 52 104 208 416 677 1354 2708 5416 7213 8801 10832 14426 17602 21664 28852 35204 57704 70408 93769 115408 140816 187538 230816 281632 375076 750152 1500304 3000608 4883201 9766402 19532804 39065608 63481613 78131216 126963226 156262432 253926452 507852904 1015705808 2031411616