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53784956201 = 1752116013793
BaseRepresentation
bin110010000101110101…
…010100110100101001
312010211100212212102212
4302011311110310221
51340122422044301
640413010134505
73612561404324
oct620565246451
9163740785385
1053784956201
11208a0229729
12a510581435
1350c1c6a892
1428632a77bb
1515ebcdd4bb
hexc85d54d29

53784956201 has 16 divisors (see below), whose sum is σ = 57108775248. Its totient is φ = 50479104000.

The previous prime is 53784956171. The next prime is 53784956233. The reversal of 53784956201 is 10265948735.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 2855299225 + 50929656976 = 53435^2 + 225676^2 .

It is a cyclic number.

It is not a de Polignac number, because 53784956201 - 230 = 52711214377 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 53784956201.

It is not an unprimeable number, because it can be changed into a prime (53784952201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14178161 + ... + 14181953.

It is an arithmetic number, because the mean of its divisors is an integer number (3569298453).

It is a 1-persistent number, because it is pandigital, but 2⋅53784956201 = 107569912402 is not.

Almost surely, 253784956201 is an apocalyptic number.

It is an amenable number.

53784956201 is a deficient number, since it is larger than the sum of its proper divisors (3323819047).

53784956201 is a wasteful number, since it uses less digits than its factorization.

53784956201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5932.

The product of its (nonzero) digits is 1814400, while the sum is 50.

The spelling of 53784956201 in words is "fifty-three billion, seven hundred eighty-four million, nine hundred fifty-six thousand, two hundred one".

Divisors: 1 17 521 1601 3793 8857 27217 64481 834121 1976153 6072593 14180057 33594601 103234081 3163820953 53784956201