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135341448510807 = 3371165099301833
BaseRepresentation
bin11110110001011110100010…
…111101100011110101010111
3122202012111221020201221201000
4132301132202331203311113
5120214413241304321212
61155503000401034343
740336045156005540
oct3661364275436527
9582174836657630
10135341448510807
113a13aa933816a0
121321a0b53259b3
135a6984a662696
14255c7bd7934c7
15109a81d1d91dc
hex7b17a2f63d57

135341448510807 has 32 divisors (see below), whose sum is σ = 249981319042560. Its totient is φ = 70307245978560.

The previous prime is 135341448510803. The next prime is 135341448510841. The reversal of 135341448510807 is 708015844143531.

135341448510807 is a `hidden beast` number, since 1 + 3 + 5 + 3 + 4 + 1 + 4 + 48 + 510 + 80 + 7 = 666.

It is not a de Polignac number, because 135341448510807 - 22 = 135341448510803 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135341448510803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32549648838 + ... + 32549652995.

It is an arithmetic number, because the mean of its divisors is an integer number (7811916220080).

Almost surely, 2135341448510807 is an apocalyptic number.

135341448510807 is a deficient number, since it is larger than the sum of its proper divisors (114639870531753).

135341448510807 is a wasteful number, since it uses less digits than its factorization.

135341448510807 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65099301860 (or 65099301854 counting only the distinct ones).

The product of its (nonzero) digits is 6451200, while the sum is 54.

The spelling of 135341448510807 in words is "one hundred thirty-five trillion, three hundred forty-one billion, four hundred forty-eight million, five hundred ten thousand, eight hundred seven".

Divisors: 1 3 7 9 11 21 27 33 63 77 99 189 231 297 693 2079 65099301833 195297905499 455695112831 585893716497 716092320163 1367085338493 1757681149491 2148276960489 4101256015479 5012646241141 6444830881467 12303768046437 15037938723423 19334492644401 45113816170269 135341448510807