Search a number
-
+
66103495236 = 22327325872
BaseRepresentation
bin111101100100000100…
…110100101001000100
320022121212101111012100
4331210010310221010
52040334443321421
650211215152100
74530051303312
oct754404645104
9208555344170
1066103495236
11260417773a9
1210989b15630
1363060c162c
1432b13230b2
151abd4d0c26
hexf64134a44

66103495236 has 81 divisors (see below), whose sum is σ = 169704377661. Its totient is φ = 21695632704.

The previous prime is 66103495223. The next prime is 66103495243. The reversal of 66103495236 is 63259430166.

The square root of 66103495236 is 257106.

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

66103495236 is a `hidden beast` number, since 6 + 610 + 3 + 4 + 9 + 5 + 23 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 37523564100 + 28579931136 = 193710^2 + 169056^2 .

It is a junction number, because it is equal to n+sod(n) for n = 66103495191 and 66103495200.

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, 112612135 + ... + 112612721.

Almost surely, 266103495236 is an apocalyptic number.

66103495236 is the 257106-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66103495236

66103495236 is an abundant number, since it is smaller than the sum of its proper divisors (103600882425).

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

66103495236 is an equidigital number, since it uses as much as digits as its factorization.

66103495236 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1330 (or 665 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 45.

The spelling of 66103495236 in words is "sixty-six billion, one hundred three million, four hundred ninety-five thousand, two hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 18 36 73 146 219 292 438 587 657 876 1174 1314 1761 2348 2628 3522 5283 5329 7044 10566 10658 15987 21132 21316 31974 42851 47961 63948 85702 95922 128553 171404 191844 257106 344569 385659 514212 689138 771318 1033707 1378276 1542636 2067414 3101121 3128123 4134828 6202242 6256246 9384369 12404484 12512492 18768738 25153537 28153107 37537476 50307074 56306214 75460611 100614148 112612428 150921222 226381833 301842444 452763666 905527332 1836208201 3672416402 5508624603 7344832804 11017249206 16525873809 22034498412 33051747618 66103495236