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2063114724564 = 2232481311907073
BaseRepresentation
bin11110000001011011001…
…110000110010011010100
321022020021000100001120100
4132001123032012103110
5232300224332141224
64215440512334100
7302024622545265
oct36013316062324
97266230301510
102063114724564
11725a64527583
12293a18b44330
1311c7213a373a
1471bd8c9096c
15389eddd6ac9
hex1e05b3864d4

2063114724564 has 36 divisors (see below), whose sum is σ = 5216179535476. Its totient is φ = 687561965568.

The previous prime is 2063114724563. The next prime is 2063114724581. The reversal of 2063114724564 is 4654274113602.

2063114724564 is a `hidden beast` number, since 2 + 0 + 6 + 3 + 1 + 14 + 72 + 4 + 564 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 773168490000 + 1289946234564 = 879300^2 + 1135758^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-3 number, since 3×20631147245643 (a number of 38 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2063114724563) 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 11 ways as a sum of consecutive naturals, for example, 5780269 + ... + 6126804.

Almost surely, 22063114724564 is an apocalyptic number.

It is an amenable number.

2063114724564 is an abundant number, since it is smaller than the sum of its proper divisors (3153064810912).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2063114724564 is a wasteful number, since it uses less digits than its factorization.

2063114724564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11911896 (or 11911891 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 2063114724564 in words is "two trillion, sixty-three billion, one hundred fourteen million, seven hundred twenty-four thousand, five hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 36 4813 9626 14439 19252 28878 43317 57756 86634 173268 11907073 23814146 35721219 47628292 71442438 107163657 142884876 214327314 428654628 57308742349 114617484698 171926227047 229234969396 343852454094 515778681141 687704908188 1031557362282 2063114724564