Search a number
-
+
253205023626 = 236237773061
BaseRepresentation
bin1110101111010000110…
…0100000101110001010
3220012120021220221000000
43223310030200232022
513122030441224001
6312153142223430
724202441121652
oct3536414405612
9805507827000
10253205023626
11984246a8a05
12410a5a24b76
131ab53099189
14c380347362
1568be3aaa86
hex3af4320b8a

253205023626 has 56 divisors (see below), whose sum is σ = 569698168644. Its totient is φ = 84365012160.

The previous prime is 253205023579. The next prime is 253205023637. The reversal of 253205023626 is 626320502352.

253205023626 is a `hidden beast` number, since 2 + 5 + 3 + 2 + 0 + 5 + 0 + 23 + 626 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 221092742025 + 32112281601 = 470205^2 + 179199^2 .

It is a super-2 number, since 2×2532050236262 (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 3429136 + ... + 3502196.

Almost surely, 2253205023626 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 253205023626, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284849084322).

253205023626 is an abundant number, since it is smaller than the sum of its proper divisors (316493145018).

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

253205023626 is an equidigital number, since it uses as much as digits as its factorization.

253205023626 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75458 (or 75443 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 36.

Adding to 253205023626 its reverse (626320502352), we get a palindrome (879525525978).

The spelling of 253205023626 in words is "two hundred fifty-three billion, two hundred five million, twenty-three thousand, six hundred twenty-six".

Divisors: 1 2 3 6 9 18 27 54 81 162 243 486 729 1458 2377 4754 7131 14262 21393 42786 64179 73061 128358 146122 192537 219183 385074 438366 577611 657549 1155222 1315098 1732833 1972647 3465666 3945294 5917941 11835882 17753823 35507646 53261469 106522938 173665997 347331994 520997991 1041995982 1562993973 3125987946 4688981919 9377963838 14066945757 28133891514 42200837271 84401674542 126602511813 253205023626