Search a number
-
+
2081791656 = 233272590077
BaseRepresentation
bin111110000010101…
…1001111010101000
312101002020222021200
41330011121322220
513230414313111
6542324004200
7102405636300
oct17405317250
95332228250
102081791656
1197913197a
124a1230660
132723b40a9
1415a6aa600
15c2b6c256
hex7c159ea8

2081791656 has 72 divisors (see below), whose sum is σ = 6558716970. Its totient is φ = 594796608.

The previous prime is 2081791603. The next prime is 2081791667. The reversal of 2081791656 is 6561971802.

It can be written as a sum of positive squares in only one way, i.e., 1683789156 + 398002500 = 41034^2 + 19950^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 291511 + ... + 298566.

Almost surely, 22081791656 is an apocalyptic number.

It is an amenable number.

2081791656 is an abundant number, since it is smaller than the sum of its proper divisors (4476925314).

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

2081791656 is a wasteful number, since it uses less digits than its factorization.

2081791656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 590103 (or 590089 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The square root of 2081791656 is about 45626.6551042261. The cubic root of 2081791656 is about 1276.8672690782.

The spelling of 2081791656 in words is "two billion, eighty-one million, seven hundred ninety-one thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 49 56 63 72 84 98 126 147 168 196 252 294 392 441 504 588 882 1176 1764 3528 590077 1180154 1770231 2360308 3540462 4130539 4720616 5310693 7080924 8261078 10621386 12391617 14161848 16522156 21242772 24783234 28913773 33044312 37174851 42485544 49566468 57827546 74349702 86741319 99132936 115655092 148699404 173482638 231310184 260223957 297398808 346965276 520447914 693930552 1040895828 2081791656