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10263084996025 = 526727321312
BaseRepresentation
bin1001010101011000111110…
…0010010001010110111001
31100100010211001001210001001
42111112033202101112321
52321122244224333100
633454443545325001
72106324546043441
oct225261742212671
940303731053031
1010263084996025
1132a7605a16474
12119907a496761
13595a600a84c4
14276a436b3121
1512be7689cd6a
hex9558f8915b9

10263084996025 has 81 divisors (see below), whose sum is σ = 13199152038093. Its totient is φ = 7916236099200.

The previous prime is 10263084996013. The next prime is 10263084996041. The reversal of 10263084996025 is 52069948036201.

The square root of 10263084996025 is 3203605.

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

10263084996025 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 56159046441 + 10206925949584 = 236979^2 + 3194828^2 .

It is not a de Polignac number, because 10263084996025 - 213 = 10263084987833 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 78344160210 + ... + 78344160340.

Almost surely, 210263084996025 is an apocalyptic number.

10263084996025 is the 3203605-th square number.

10263084996025 is the 1601803-rd centered octagonal number.

It is an amenable number.

10263084996025 is a deficient number, since it is larger than the sum of its proper divisors (2936067042068).

10263084996025 is an frugal number, since it uses more digits than its factorization.

10263084996025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 552 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 55.

The spelling of 10263084996025 in words is "ten trillion, two hundred sixty-three billion, eighty-four million, nine hundred ninety-six thousand, twenty-five".

Divisors: 1 5 25 67 73 131 335 365 655 1675 1825 3275 4489 4891 5329 8777 9563 17161 22445 24455 26645 43885 47815 85805 112225 122275 133225 219425 239075 327697 357043 429025 588059 640721 698099 1149787 1252753 1638485 1785215 2940295 3203605 3490495 5748935 6263765 8192425 8926075 14701475 16018025 17452475 23921881 28744675 31318825 42928307 46772633 77035729 83934451 91450969 119609405 214641535 233863165 385178645 419672255 457254845 598047025 1073207675 1169315825 1925893225 2098361275 2286274225 3133766411 5623608217 6127214923 15668832055 28118041085 30636074615 78344160275 140590205425 153180373075 410523399841 2052616999205 10263084996025