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2013694064 = 241789193431
BaseRepresentation
bin111100000000110…
…1000100001110000
312012100010020221122
41320001220201300
513111001202224
6531452241412
7100621055114
oct17001504160
95170106848
102013694064
11943750178
12482470268
13261260465
14151621744
15bbbba15e
hex78068870

2013694064 has 80 divisors (see below), whose sum is σ = 4208837760. Its totient is φ = 929955840.

The previous prime is 2013694061. The next prime is 2013694069. The reversal of 2013694064 is 4604963102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2013694061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4671929 + ... + 4672359.

It is an arithmetic number, because the mean of its divisors is an integer number (52610472).

Almost surely, 22013694064 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 2013694064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2104418880).

2013694064 is an abundant number, since it is smaller than the sum of its proper divisors (2195143696).

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

2013694064 is a wasteful number, since it uses less digits than its factorization.

2013694064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 738 (or 732 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 35.

The square root of 2013694064 is about 44874.2026558690. The cubic root of 2013694064 is about 1262.7900849481.

The spelling of 2013694064 in words is "two billion, thirteen million, six hundred ninety-four thousand, sixty-four".

Divisors: 1 2 4 8 16 17 34 68 89 136 178 193 272 356 386 431 712 772 862 1424 1513 1544 1724 3026 3088 3281 3448 6052 6562 6896 7327 12104 13124 14654 17177 24208 26248 29308 34354 38359 52496 58616 68708 76718 83183 117232 137416 153436 166366 274832 292009 306872 332732 584018 613744 652103 665464 1168036 1304206 1330928 1414111 2336072 2608412 2828222 4672144 5216824 5656444 7403287 10433648 11312888 14806574 22625776 29613148 59226296 118452592 125855879 251711758 503423516 1006847032 2013694064