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13652608482 = 23673128273
BaseRepresentation
bin11001011011100001…
…00100010111100010
31022020110210101000000
430231300210113202
5210430031432412
610134422440430
7662216154162
oct145560442742
938213711000
1013652608482
1158765a5907
122790293116
13139765a076
149372c85a2
1554d8b24dc
hex32dc245e2

13652608482 has 56 divisors (see below), whose sum is σ = 31125173004. Its totient is φ = 4488493824.

The previous prime is 13652608481. The next prime is 13652608499. The reversal of 13652608482 is 28480625631.

13652608482 is a `hidden beast` number, since 1 + 36 + 5 + 2 + 608 + 4 + 8 + 2 = 666.

13652608482 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 12597593121 + 1055015361 = 112239^2 + 32481^2 .

It is not an unprimeable number, because it can be changed into a prime (13652608481) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 42298 + ... + 170570.

Almost surely, 213652608482 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13652608482, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15562586502).

13652608482 is an abundant number, since it is smaller than the sum of its proper divisors (17472564522).

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

13652608482 is an equidigital number, since it uses as much as digits as its factorization.

13652608482 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128366 (or 128351 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 13652608482 in words is "thirteen billion, six hundred fifty-two million, six hundred eight thousand, four hundred eighty-two".

Divisors: 1 2 3 6 9 18 27 54 73 81 146 162 219 243 438 486 657 729 1314 1458 1971 3942 5913 11826 17739 35478 53217 106434 128273 256546 384819 769638 1154457 2308914 3463371 6926742 9363929 10390113 18727858 20780226 28091787 31170339 56183574 62340678 84275361 93511017 168550722 187022034 252826083 505652166 758478249 1516956498 2275434747 4550869494 6826304241 13652608482