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48056969961 = 3272112132732
BaseRepresentation
bin101100110000011010…
…110010101011101001
311121001011200000111100
4230300122302223221
51241410041014321
634024351352013
73320616335100
oct546032625351
9147034600440
1048056969961
11194209a7900
129392222609
1346bb351400
14247c665037
1513b3ed7326
hexb306b2ae9

48056969961 has 243 divisors, whose sum is σ = 97444180197. Its totient is φ = 22728625920.

The previous prime is 48056969959. The next prime is 48056969963. The reversal of 48056969961 is 16996965084.

The square root of 48056969961 is 219219.

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

48056969961 is a `hidden beast` number, since 4 + 8 + 0 + 569 + 6 + 9 + 9 + 61 = 666.

48056969961 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 (48056969959) and next prime (48056969963).

It can be written as a sum of positive squares in 4 ways, for example, as 4834559961 + 43222410000 = 69531^2 + 207900^2 .

It is not a de Polignac number, because 48056969961 - 21 = 48056969959 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (48056969963) by changing a digit.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 658314621 + ... + 658314693.

Almost surely, 248056969961 is an apocalyptic number.

48056969961 is the 219219-th square number.

48056969961 is the 109610-th centered octagonal number.

It is an amenable number.

48056969961 is an abundant number, since it is smaller than the sum of its proper divisors (49387210236).

48056969961 is a wasteful number, since it uses less digits than its factorization.

48056969961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 25194240, while the sum is 63.

The spelling of 48056969961 in words is "forty-eight billion, fifty-six million, nine hundred sixty-nine thousand, nine hundred sixty-one".