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2113917696 = 28331127803
BaseRepresentation
bin111110111111111…
…1101001100000000
312110022201010221000
41331333331030000
513312130331241
6545432332000
7103246001232
oct17577751400
95408633830
102113917696
11995284720
124abb44000
13278c51997
14160a70252
15c58b5eb6
hex7dffd300

2113917696 has 144 divisors (see below), whose sum is σ = 6819765120. Its totient is φ = 640558080.

The previous prime is 2113917679. The next prime is 2113917739. The reversal of 2113917696 is 6967193112.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 62131 + ... + 89933.

It is an arithmetic number, because the mean of its divisors is an integer number (47359480).

Almost surely, 22113917696 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 2113917696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3409882560).

2113917696 is an abundant number, since it is smaller than the sum of its proper divisors (4705847424).

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

2113917696 is a wasteful number, since it uses less digits than its factorization.

2113917696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27839 (or 27819 counting only the distinct ones).

The product of its digits is 122472, while the sum is 45.

The square root of 2113917696 is about 45977.3606898004. The cubic root of 2113917696 is about 1283.4019400140.

The spelling of 2113917696 in words is "two billion, one hundred thirteen million, nine hundred seventeen thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 64 66 72 88 96 99 108 128 132 144 176 192 198 216 256 264 288 297 352 384 396 432 528 576 594 704 768 792 864 1056 1152 1188 1408 1584 1728 2112 2304 2376 2816 3168 3456 4224 4752 6336 6912 8448 9504 12672 19008 25344 27803 38016 55606 76032 83409 111212 166818 222424 250227 305833 333636 444848 500454 611666 667272 750681 889696 917499 1000908 1223332 1334544 1501362 1779392 1834998 2001816 2446664 2669088 2752497 3002724 3558784 3669996 4003632 4893328 5338176 5504994 6005448 7117568 7339992 8007264 8257491 9786656 10676352 11009988 12010896 14679984 16014528 16514982 19573312 21352704 22019976 24021792 29359968 32029056 33029964 39146624 44039952 48043584 58719936 64058112 66059928 78293248 88079904 96087168 117439872 132119856 176159808 192174336 234879744 264239712 352319616 528479424 704639232 1056958848 2113917696