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104350256541 = 3217096784361
BaseRepresentation
bin110000100101111000…
…0101000110110011101
3100222100100102021100100
41201023300220312131
53202202131202131
6115534324051313
710352616355116
oct1411360506635
9328310367310
10104350256541
1140288aaa243
1218282833b39
139abcb7703b
14509cb0b20d
152aab0e97e6
hex184bc28d9d

104350256541 has 12 divisors (see below), whose sum is σ = 150816367260. Its totient is φ = 69526121280.

The previous prime is 104350256531. The next prime is 104350256551. The reversal of 104350256541 is 145652053401.

104350256541 is a `hidden beast` number, since 1 + 0 + 4 + 3 + 50 + 2 + 565 + 41 = 666.

It is an interprime number because it is at equal distance from previous prime (104350256531) and next prime (104350256551).

It can be written as a sum of positive squares in 2 ways, for example, as 45904776516 + 58445480025 = 214254^2 + 241755^2 .

It is not a de Polignac number, because 104350256541 - 25 = 104350256509 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 104350256496 and 104350256505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104350256531) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3376800 + ... + 3407561.

It is an arithmetic number, because the mean of its divisors is an integer number (12568030605).

Almost surely, 2104350256541 is an apocalyptic number.

It is an amenable number.

104350256541 is a deficient number, since it is larger than the sum of its proper divisors (46466110719).

104350256541 is a wasteful number, since it uses less digits than its factorization.

104350256541 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6786076 (or 6786073 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The spelling of 104350256541 in words is "one hundred four billion, three hundred fifty million, two hundred fifty-six thousand, five hundred forty-one".

Divisors: 1 3 9 1709 5127 15381 6784361 20353083 61059249 11594472949 34783418847 104350256541