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2353048641409 = 73149326938017
BaseRepresentation
bin100010001111011100101…
…000001101111110000001
322022221122000011002010211
4202033130220031332001
5302023020423011114
65000550422354121
7332000511304504
oct42173450157601
98287560132124
102353048641409
11827a16683594
1232005328b941
13140b7891810b
1481c6118b13b
154131c9d26c4
hex223dca0df81

2353048641409 has 16 divisors (see below), whose sum is σ = 2388063993552. Its totient is φ = 2318110230528.

The previous prime is 2353048641407. The next prime is 2353048641421. The reversal of 2353048641409 is 9041468403532.

It can be written as a sum of positive squares in 8 ways, for example, as 131354055184 + 2221694586225 = 362428^2 + 1490535^2 .

It is a cyclic number.

It is not a de Polignac number, because 2353048641409 - 21 = 2353048641407 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2353048641407) 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, 293503369 + ... + 293511385.

It is an arithmetic number, because the mean of its divisors is an integer number (149253999597).

Almost surely, 22353048641409 is an apocalyptic number.

It is an amenable number.

2353048641409 is a deficient number, since it is larger than the sum of its proper divisors (35015352143).

2353048641409 is a wasteful number, since it uses less digits than its factorization.

2353048641409 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12276.

The product of its (nonzero) digits is 2488320, while the sum is 49.

The spelling of 2353048641409 in words is "two trillion, three hundred fifty-three billion, forty-eight million, six hundred forty-one thousand, four hundred nine".

Divisors: 1 73 1493 2693 8017 108989 196589 585241 4020649 11969381 21589781 293507377 873764813 1576054013 32233543033 2353048641409