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12604144114535 = 541267372299571
BaseRepresentation
bin1011011101101010000110…
…0010000101101101100111
31122121221111110210222201012
42313122201202011231213
53123001241343131120
642450132555052435
72440422304162061
oct267324142055547
948557443728635
1012604144114535
11401a429843a46
1214b692644111b
13705747a8986c
143180883ac731
1516cce19ce1c5
hexb76a1885b67

12604144114535 has 16 divisors (see below), whose sum is σ = 15494460946272. Its totient is φ = 9837008563200.

The previous prime is 12604144114519. The next prime is 12604144114543. The reversal of 12604144114535 is 53541144140621.

It is a happy number.

It is not a de Polignac number, because 12604144114535 - 24 = 12604144114519 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12604144114492 and 12604144114501.

It is a congruent 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 15 ways as a sum of consecutive naturals, for example, 4331300 + ... + 6630870.

It is an arithmetic number, because the mean of its divisors is an integer number (968403809142).

Almost surely, 212604144114535 is an apocalyptic number.

12604144114535 is a deficient number, since it is larger than the sum of its proper divisors (2890316831737).

12604144114535 is a wasteful number, since it uses less digits than its factorization.

12604144114535 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2326354.

The product of its (nonzero) digits is 230400, while the sum is 41.

The spelling of 12604144114535 in words is "twelve trillion, six hundred four billion, one hundred forty-four million, one hundred fourteen thousand, five hundred thirty-five".

Divisors: 1 5 41 205 26737 133685 1096217 2299571 5481085 11497855 94282411 471412055 61483629827 307418149135 2520828822907 12604144114535