Search a number
-
+
10320460632225 = 34526673763753
BaseRepresentation
bin1001011000101110101101…
…1000111101000010100001
31100112121220122110002110000
42112023223120331002201
52323042300410212400
633541053144330213
72113425430644642
oct226135330750241
940477818402400
1010320460632225
113319978a78127
1211a8211473969
1359b2a4c11cb3
142797277c16c9
1512d6d3a0b600
hex962eb63d0a1

10320460632225 has 60 divisors (see below), whose sum is σ = 19119950529196. Its totient is φ = 5503413611520.

The previous prime is 10320460632199. The next prime is 10320460632239. The reversal of 10320460632225 is 52223606402301.

10320460632225 is a `hidden beast` number, since 1 + 0 + 3 + 2 + 0 + 4 + 606 + 3 + 22 + 25 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 1852168571136 + 8468292061089 = 1360944^2 + 2910033^2 .

It is not a de Polignac number, because 10320460632225 - 26 = 10320460632161 is a prime.

It is a super-2 number, since 2×103204606322252 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10320460632225.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 13130949 + ... + 13894701.

Almost surely, 210320460632225 is an apocalyptic number.

10320460632225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10320460632225 is a deficient number, since it is larger than the sum of its proper divisors (8799489896971).

10320460632225 is an equidigital number, since it uses as much as digits as its factorization.

10320460632225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 770448 (or 770434 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The spelling of 10320460632225 in words is "ten trillion, three hundred twenty billion, four hundred sixty million, six hundred thirty-two thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 27 45 75 81 135 225 405 675 2025 6673 20019 33365 60057 100095 166825 180171 300285 500475 540513 763753 900855 1501425 2291259 2702565 3818765 4504275 6873777 11456295 13512825 19093825 20621331 34368885 57281475 61863993 103106655 171844425 309319965 515533275 1546599825 5096523769 15289571307 25482618845 45868713921 76447856535 127413094225 137606141763 229343569605 382239282675 412818425289 688030708815 1146717848025 2064092126445 3440153544075 10320460632225