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11588064466068 = 2232601535591813
BaseRepresentation
bin1010100010100000111001…
…1101110101010010010100
31112000210211010200210021100
42220220032131311102110
53004324324000403233
640351252221550100
72304132016522326
oct250501635652224
945023733623240
1011588064466068
11376851a322182
121371a17415330
1366099939b73c
142c0c185bd616
1515167378c813
hexa8a0e775494

11588064466068 has 36 divisors (see below), whose sum is σ = 29340790754548. Its totient is φ = 3856261046400.

The previous prime is 11588064466061. The next prime is 11588064466091. The reversal of 11588064466068 is 86066446088511.

11588064466068 is a `hidden beast` number, since 1 + 1 + 58 + 8 + 0 + 64 + 466 + 0 + 68 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 7128483486084 + 4459580979984 = 2669922^2 + 2111772^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 11588064465996 and 11588064466014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11588064466061) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 267774271 + ... + 267817542.

Almost surely, 211588064466068 is an apocalyptic number.

11588064466068 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

11588064466068 is an abundant number, since it is smaller than the sum of its proper divisors (17752726288480).

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

11588064466068 is a wasteful number, since it uses less digits than its factorization.

11588064466068 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 535592424 (or 535592419 counting only the distinct ones).

The product of its (nonzero) digits is 53084160, while the sum is 63.

The spelling of 11588064466068 in words is "eleven trillion, five hundred eighty-eight billion, sixty-four million, four hundred sixty-six thousand, sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 601 1202 1803 2404 3606 5409 7212 10818 21636 535591813 1071183626 1606775439 2142367252 3213550878 4820326317 6427101756 9640652634 19281305268 321890679613 643781359226 965672038839 1287562718452 1931344077678 2897016116517 3862688155356 5794032233034 11588064466068