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153434964817 = 3797349122497
BaseRepresentation
bin1000111011100101101…
…1111100001101010001
3112200001010221210202201
42032321123330031101
510003213322333232
6154253111443201
714041155452641
oct2167133741521
9480033853681
10153434964817
115a087046052
12258a1086501
13116130c8014
1475d7a60521
153ed0441be7
hex23b96fc351

153434964817 has 16 divisors (see below), whose sum is σ = 159663893200. Its totient is φ = 147324469248.

The previous prime is 153434964779. The next prime is 153434964847. The reversal of 153434964817 is 718469434351.

It can be written as a sum of positive squares in 8 ways, for example, as 12752959041 + 140682005776 = 112929^2 + 375076^2 .

It is a cyclic number.

It is not a de Polignac number, because 153434964817 - 27 = 153434964689 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (153434964847) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1191313 + ... + 1313809.

It is an arithmetic number, because the mean of its divisors is an integer number (9978993325).

Almost surely, 2153434964817 is an apocalyptic number.

It is an amenable number.

153434964817 is a deficient number, since it is larger than the sum of its proper divisors (6228928383).

153434964817 is a wasteful number, since it uses less digits than its factorization.

153434964817 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122980.

The product of its digits is 8709120, while the sum is 55.

The spelling of 153434964817 in words is "one hundred fifty-three billion, four hundred thirty-four million, nine hundred sixty-four thousand, eight hundred seventeen".

Divisors: 1 37 97 349 3589 12913 33853 122497 1252561 4532389 11882209 42751453 439641733 1581803761 4146890941 153434964817