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2096917776 = 2432411732053
BaseRepresentation
bin111110011111100…
…0110110100010000
312102010201110102100
41330333012310100
513243302332101
6544024120400
7102651335622
oct17477066420
95363643370
102096917776
119867233a8
124a6306100
1327557bc65
1415c6c6c12
15c4158e86
hex7cfc6d10

2096917776 has 120 divisors (see below), whose sum is σ = 6049284696. Its totient is φ = 677652480.

The previous prime is 2096917759. The next prime is 2096917799. The reversal of 2096917776 is 6777196902.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 258566400 + 1838351376 = 16080^2 + 42876^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1020366 + ... + 1022418.

Almost surely, 22096917776 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 2096917776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3024642348).

2096917776 is an abundant number, since it is smaller than the sum of its proper divisors (3952366920).

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

2096917776 is a wasteful number, since it uses less digits than its factorization.

2096917776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2281 (or 2272 counting only the distinct ones).

The product of its (nonzero) digits is 2000376, while the sum is 54.

The square root of 2096917776 is about 45792.1147797304. The cubic root of 2096917776 is about 1279.9523452310.

The spelling of 2096917776 in words is "two billion, ninety-six million, nine hundred seventeen thousand, seven hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 41 48 72 82 123 144 164 173 246 328 346 369 492 519 656 692 738 984 1038 1384 1476 1557 1968 2053 2076 2768 2952 3114 4106 4152 5904 6159 6228 7093 8212 8304 12318 12456 14186 16424 18477 21279 24636 24912 28372 32848 36954 42558 49272 56744 63837 73908 84173 85116 98544 113488 127674 147816 168346 170232 252519 255348 295632 336692 340464 355169 505038 510696 673384 710338 757557 1010076 1021392 1065507 1346768 1420676 1515114 2020152 2131014 2841352 3030228 3196521 4040304 4262028 5682704 6060456 6393042 8524056 12120912 12786084 14561929 17048112 25572168 29123858 43685787 51144336 58247716 87371574 116495432 131057361 174743148 232990864 262114722 349486296 524229444 698972592 1048458888 2096917776