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2096694444 = 2231322379569
BaseRepresentation
bin111110011111001…
…0000010010101100
312102010022010001210
41330332100102230
513243223210234
6544015234420
7102646415535
oct17476202254
95363263053
102096694444
11986590629
124a6218a10
13275501400
1415c66968c
15c4112be9
hex7cf904ac

2096694444 has 144 divisors (see below), whose sum is σ = 5607705600. Its totient is φ = 608205312.

The previous prime is 2096694437. The next prime is 2096694463. The reversal of 2096694444 is 4444966902.

It is a happy number.

It is a super-2 number, since 2×20966944442 = 8792255183000938272, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2096694393 and 2096694402.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3684592 + ... + 3685160.

It is an arithmetic number, because the mean of its divisors is an integer number (38942400).

Almost surely, 22096694444 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 2096694444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2803852800).

2096694444 is an abundant number, since it is smaller than the sum of its proper divisors (3511011156).

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

2096694444 is a wasteful number, since it uses less digits than its factorization.

2096694444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 704 (or 689 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 48.

The square root of 2096694444 is about 45789.6761726920. The cubic root of 2096694444 is about 1279.9069032226.

The spelling of 2096694444 in words is "two billion, ninety-six million, six hundred ninety-four thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 12 13 23 26 39 46 52 69 78 79 92 138 156 158 169 237 276 299 316 338 474 507 569 598 676 897 948 1014 1027 1138 1196 1707 1794 1817 2028 2054 2276 3081 3414 3588 3634 3887 4108 5451 6162 6828 7268 7397 7774 10902 11661 12324 13087 13351 14794 15548 21804 22191 23322 23621 26174 26702 29588 39261 40053 44382 44951 46644 47242 52348 53404 70863 78522 80106 88764 89902 94484 96161 134853 141726 157044 160212 170131 179804 192322 269706 283452 288483 307073 340262 384644 510393 539412 576966 584363 614146 680524 921219 1020786 1033873 1153932 1168726 1228292 1753089 1842438 2041572 2067746 2211703 2337452 3101619 3506178 3684876 4135492 4423406 6203238 6635109 7012356 7596719 8846812 12406476 13270218 13440349 15193438 22790157 26540436 26880698 30386876 40321047 45580314 53761396 80642094 91160628 161284188 174724537 349449074 524173611 698898148 1048347222 2096694444