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104053246641 = 3211561471849
BaseRepresentation
bin110000011101000001…
…1101000101010110001
3100221120122112121100200
41200322003220222301
53201100112343031
6115445034105413
710342352001051
oct1407203505261
9327518477320
10104053246641
1140146388313
12181bb27b269
139a73485236
1450714b5561
152a8eecb8e6
hex183a0e8ab1

104053246641 has 6 divisors (see below), whose sum is σ = 150299134050. Its totient is φ = 69368831088.

The previous prime is 104053246607. The next prime is 104053246663. The reversal of 104053246641 is 146642350401.

104053246641 is a `hidden beast` number, since 1 + 0 + 4 + 0 + 5 + 3 + 2 + 4 + 6 + 641 = 666.

It can be written as a sum of positive squares in only one way, i.e., 72830356641 + 31222890000 = 269871^2 + 176700^2 .

It is not a de Polignac number, because 104053246641 - 27 = 104053246513 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 104053246596 and 104053246605.

It is not an unprimeable number, because it can be changed into a prime (104053246691) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5780735916 + ... + 5780735933.

It is an arithmetic number, because the mean of its divisors is an integer number (25049855675).

Almost surely, 2104053246641 is an apocalyptic number.

It is an amenable number.

104053246641 is a deficient number, since it is larger than the sum of its proper divisors (46245887409).

104053246641 is a wasteful number, since it uses less digits than its factorization.

104053246641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11561471855 (or 11561471852 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 104053246641 in words is "one hundred four billion, fifty-three million, two hundred forty-six thousand, six hundred forty-one".

Divisors: 1 3 9 11561471849 34684415547 104053246641