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52435554201 = 342334096793
BaseRepresentation
bin110000110101011001…
…110000111110011001
312000100022202010220000
4300311121300332121
51324342000213301
640031043523213
73534254566602
oct606531607631
9160308663800
1052435554201
1120268559a68
12a1b4689509
134c38526764
142775da6da9
15156d5e0786
hexc35670f99

52435554201 has 40 divisors (see below), whose sum is σ = 78869779560. Its totient is φ = 34716791808.

The previous prime is 52435554191. The next prime is 52435554287. The reversal of 52435554201 is 10245553425.

52435554201 is a `hidden beast` number, since 52 + 4 + 35 + 554 + 20 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3174195600 + 49261358601 = 56340^2 + 221949^2 .

It is not a de Polignac number, because 52435554201 - 211 = 52435552153 is a prime.

It is not an unprimeable number, because it can be changed into a prime (52435554701) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 7715661 + ... + 7722453.

It is an arithmetic number, because the mean of its divisors is an integer number (1971744489).

Almost surely, 252435554201 is an apocalyptic number.

It is an amenable number.

52435554201 is a deficient number, since it is larger than the sum of its proper divisors (26434225359).

52435554201 is a wasteful number, since it uses less digits than its factorization.

52435554201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7447 (or 7438 counting only the distinct ones).

The product of its (nonzero) digits is 120000, while the sum is 36.

The spelling of 52435554201 in words is "fifty-two billion, four hundred thirty-five million, five hundred fifty-four thousand, two hundred one".

Divisors: 1 3 9 27 81 233 409 699 1227 2097 3681 6291 6793 11043 18873 20379 33129 61137 95297 183411 285891 550233 857673 1582769 2573019 2778337 4748307 7719057 8335011 14244921 25005033 42734763 75015099 128204289 225045297 647352521 1942057563 5826172689 17478518067 52435554201