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201188060649753 = 31997572557174101
BaseRepresentation
bin101101101111101010111110…
…111000110101100100011001
3222101100101112212100100000120
4231233222332320311210121
5202332231122011243003
61551520304044223453
760243233460235332
oct5557527670654431
9871311485310016
10201188060649753
1159117417302931
121a69371653ab89
138834c501589a8
1437977a85db289
15183d56a9d9853
hexb6fabee35919

201188060649753 has 32 divisors (see below), whose sum is σ = 270062008262400. Its totient is φ = 133222200249600.

The previous prime is 201188060649749. The next prime is 201188060649761. The reversal of 201188060649753 is 357946060881102.

It is a happy number.

It is not a de Polignac number, because 201188060649753 - 22 = 201188060649749 is a prime.

It is a super-2 number, since 2×2011880606497532 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (201188060649253) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1155495403 + ... + 1155669503.

It is an arithmetic number, because the mean of its divisors is an integer number (8439437758200).

It is a 1-persistent number, because it is pandigital, but 2⋅201188060649753 = 402376121299506 is not.

Almost surely, 2201188060649753 is an apocalyptic number.

It is an amenable number.

201188060649753 is a deficient number, since it is larger than the sum of its proper divisors (68873947612647).

201188060649753 is a wasteful number, since it uses less digits than its factorization.

201188060649753 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177617.

The product of its (nonzero) digits is 17418240, while the sum is 60.

The spelling of 201188060649753 in words is "two hundred one trillion, one hundred eighty-eight billion, sixty million, six hundred forty-nine thousand, seven hundred fifty-three".

Divisors: 1 3 199 597 757 2271 2557 7671 150643 174101 451929 508843 522303 1526529 1935649 5806947 34646099 103938297 131794457 385194151 395383371 445176257 1155582453 1335528771 26227096943 78681290829 88590075143 265770225429 336998426549 1010995279647 67062686883251 201188060649753