Search a number
-
+
6100536444201 = 3217103387114439
BaseRepresentation
bin101100011000110010001…
…0011101100010100101001
3210121012112212121002020200
41120301210103230110221
51244422344312203301
620550314151542413
71166514660122013
oct130614423542451
923535485532220
106100536444201
111a4224a866a71
128263a938aa09
13353380044834
141713a61b11b3
15a8a50338c86
hex58c644ec529

6100536444201 has 24 divisors (see below), whose sum is σ = 9420817011840. Its totient is φ = 3790624576896.

The previous prime is 6100536444179. The next prime is 6100536444257. The reversal of 6100536444201 is 1024446350016.

6100536444201 is a `hidden beast` number, since 6 + 1 + 0 + 0 + 5 + 3 + 6 + 444 + 201 = 666.

It is not a de Polignac number, because 6100536444201 - 219 = 6100535919913 is a prime.

It is not an unprimeable number, because it can be changed into a prime (6100536443201) 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 23 ways as a sum of consecutive naturals, for example, 193541461 + ... + 193572978.

It is an arithmetic number, because the mean of its divisors is an integer number (392534042160).

Almost surely, 26100536444201 is an apocalyptic number.

It is an amenable number.

6100536444201 is a deficient number, since it is larger than the sum of its proper divisors (3320280567639).

6100536444201 is a wasteful number, since it uses less digits than its factorization.

6100536444201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 387114565 (or 387114562 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 6100536444201 in words is "six trillion, one hundred billion, five hundred thirty-six million, four hundred forty-four thousand, two hundred one".

Divisors: 1 3 9 17 51 103 153 309 927 1751 5253 15759 387114439 1161343317 3484029951 6580945463 19742836389 39872787217 59228509167 119618361651 358855084953 677837382689 2033512148067 6100536444201