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2143977696 = 253279471123
BaseRepresentation
bin111111111001010…
…1000000011100000
312112102021100111100
41333302220003200
513342324241241
6552424514400
7104062336560
oct17762500340
95472240440
102143977696
11a002461a3
124ba01ba00
13282248073
14164a56da0
15c83529b6
hex7fca80e0

2143977696 has 144 divisors (see below), whose sum is σ = 6981496704. Its totient is φ = 611373312.

The previous prime is 2143977679. The next prime is 2143977739. The reversal of 2143977696 is 6967793412.

It is a happy number.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1908591 + ... + 1909713.

It is an arithmetic number, because the mean of its divisors is an integer number (48482616).

Almost surely, 22143977696 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 2143977696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3490748352).

2143977696 is an abundant number, since it is smaller than the sum of its proper divisors (4837519008).

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

2143977696 is a wasteful number, since it uses less digits than its factorization.

2143977696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2093 (or 2082 counting only the distinct ones).

The product of its digits is 3429216, while the sum is 54.

The square root of 2143977696 is about 46303.1067640175. The cubic root of 2143977696 is about 1289.4566740229.

The spelling of 2143977696 in words is "two billion, one hundred forty-three million, nine hundred seventy-seven thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 504 672 947 1008 1123 1894 2016 2246 2841 3369 3788 4492 5682 6629 6738 7576 7861 8523 8984 10107 11364 13258 13476 15152 15722 17046 17968 19887 20214 22728 23583 26516 26952 30304 31444 34092 35936 39774 40428 45456 47166 53032 53904 59661 62888 68184 70749 79548 80856 90912 94332 106064 107808 119322 125776 136368 141498 159096 161712 188664 212128 238644 251552 272736 282996 318192 323424 377328 477288 565992 636384 754656 954576 1063481 1131984 1909152 2126962 2263968 3190443 4253924 6380886 7444367 8507848 9571329 12761772 14888734 17015696 19142658 22333101 25523544 29777468 34031392 38285316 44666202 51047088 59554936 66999303 76570632 89332404 102094176 119109872 133998606 153141264 178664808 238219744 267997212 306282528 357329616 535994424 714659232 1071988848 2143977696