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48106778169025 = 52743218672
BaseRepresentation
bin10101111000000101110110…
…11011001000111011000001
320022022222000002021102022201
422330002323123020323001
522301140140202402100
6250151540535033201
713063412544400222
oct1274027333107301
9208288002242281
1048106778169025
1114367a74154094
12548b4ba80b801
1320ac5b0045354
14bc45480ad249
1558657aeb836a
hex2bc0bb6c8ec1

48106778169025 has 27 divisors (see below), whose sum is σ = 59764809997731. Its totient is φ = 38413039430640.

The previous prime is 48106778169001. The next prime is 48106778169049. The reversal of 48106778169025 is 52096187760184.

The square root of 48106778169025 is 6935905.

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

48106778169025 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (48106778169001) and next prime (48106778169049).

It can be written as a sum of positive squares in only one way, i.e., 17318440140849 + 30788338028176 = 4161543^2 + 5548724^2 .

It is not a de Polignac number, because 48106778169025 - 211 = 48106778166977 is a prime.

It is a super-3 number, since 3×481067781690253 (a number of 42 digits) contains 333 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 25766886142 + ... + 25766888008.

Almost surely, 248106778169025 is an apocalyptic number.

48106778169025 is the 6935905-th square number.

48106778169025 is the 3467953-rd centered octagonal number.

It is an amenable number.

48106778169025 is a deficient number, since it is larger than the sum of its proper divisors (11658031828706).

48106778169025 is an frugal number, since it uses more digits than its factorization.

48106778169025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5230 (or 2615 counting only the distinct ones).

The product of its (nonzero) digits is 40642560, while the sum is 64.

The spelling of 48106778169025 in words is "forty-eight trillion, one hundred six billion, seven hundred seventy-eight million, one hundred sixty-nine thousand, twenty-five".

Divisors: 1 5 25 743 1867 3715 9335 18575 46675 552049 1387181 2760245 3485689 6935905 13801225 17428445 34679525 87142225 1030675483 2589866927 5153377415 12949334635 25766887075 64746673175 1924271126761 9621355633805 48106778169025