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2093441336 = 237178272659
BaseRepresentation
bin111110011000111…
…0110000100111000
312101220011211122022
41330301312010320
513241410110321
6543421414012
7102606646340
oct17461660470
95356154568
102093441336
11984769508
124a510a308
132749327ac
1415c05dd20
15c3bbddab
hex7cc76138

2093441336 has 64 divisors (see below), whose sum is σ = 4757356800. Its totient is φ = 843075072.

The previous prime is 2093441333. The next prime is 2093441381. The reversal of 2093441336 is 6331443902.

It is a junction number, because it is equal to n+sod(n) for n = 2093441296 and 2093441305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2093441333) 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, 785975 + ... + 788633.

It is an arithmetic number, because the mean of its divisors is an integer number (74333700).

Almost surely, 22093441336 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 2093441336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2378678400).

2093441336 is an abundant number, since it is smaller than the sum of its proper divisors (2663915464).

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

2093441336 is a wasteful number, since it uses less digits than its factorization.

2093441336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3516 (or 3512 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 35.

The square root of 2093441336 is about 45754.1400968262. The cubic root of 2093441336 is about 1279.2446177812.

The spelling of 2093441336 in words is "two billion, ninety-three million, four hundred forty-one thousand, three hundred thirty-six".

Divisors: 1 2 4 7 8 14 17 28 34 56 68 119 136 238 476 827 952 1654 2659 3308 5318 5789 6616 10636 11578 14059 18613 21272 23156 28118 37226 45203 46312 56236 74452 90406 98413 112472 148904 180812 196826 316421 361624 393652 632842 787304 1265684 2198993 2531368 4397986 8795972 15392951 17591944 30785902 37382881 61571804 74765762 123143608 149531524 261680167 299063048 523360334 1046720668 2093441336