Search a number
-
+
210026057796 = 223217244932
BaseRepresentation
bin1100001110011010000…
…1110101000001000100
3202002010002002012012100
43003212201311001010
511420113132322141
6240252403152100
721113433015132
oct3034641650104
9662102065170
10210026057796
1181087263885
1234855375630
1316a61531159
14a2458a8752
1556e377d0b6
hex30e6875044

210026057796 has 81 divisors (see below), whose sum is σ = 564091136791. Its totient is φ = 65875862784.

The previous prime is 210026057777. The next prime is 210026057833. The reversal of 210026057796 is 697750620012.

The square root of 210026057796 is 458286.

It is a perfect power (a square), and thus also a powerful number.

210026057796 is a `hidden beast` number, since 2 + 10 + 0 + 2 + 60 + 577 + 9 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 152713697796 + 57312360000 = 390786^2 + 239400^2 .

It is a super-2 number, since 2×2100260577962 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 46742926 + ... + 46747418.

Almost surely, 2210026057796 is an apocalyptic number.

210026057796 is the 458286-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 210026057796

210026057796 is an abundant number, since it is smaller than the sum of its proper divisors (354065078995).

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

210026057796 is an equidigital number, since it uses as much as digits as its factorization.

210026057796 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9030 (or 4515 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The spelling of 210026057796 in words is "two hundred ten billion, twenty-six million, fifty-seven thousand, seven hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 289 306 578 612 867 1156 1734 2601 3468 4493 5202 8986 10404 13479 17972 26958 40437 53916 76381 80874 152762 161748 229143 305524 458286 687429 916572 1298477 1374858 2596954 2749716 3895431 5193908 7790862 11686293 15581724 20187049 23372586 40374098 46745172 60561147 80748196 121122294 181683441 242244588 343179833 363366882 686359666 726733764 1029539499 1372719332 2059078998 3088618497 4118157996 5834057161 6177236994 11668114322 12354473988 17502171483 23336228644 35004342966 52506514449 70008685932 105013028898 210026057796