Search a number
-
+
13643240576 = 27715226831
BaseRepresentation
bin11001011010011001…
…10101010010000000
31022012211011102122112
430231030311102000
5210420132144301
610133445554452
7662043426410
oct145514652200
938184142575
1013643240576
115871287639
122789115a28
13139572a124
14935d6a640
1554cb619bb
hex32d335480

13643240576 has 32 divisors (see below), whose sum is σ = 31062737280. Its totient is φ = 5847102720.

The previous prime is 13643240521. The next prime is 13643240591. The reversal of 13643240576 is 67504234631.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×136432405762 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7612520 + ... + 7614311.

It is an arithmetic number, because the mean of its divisors is an integer number (970710540).

Almost surely, 213643240576 is an apocalyptic number.

13643240576 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

13643240576 is an abundant number, since it is smaller than the sum of its proper divisors (17419496704).

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

13643240576 is an equidigital number, since it uses as much as digits as its factorization.

13643240576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15226852 (or 15226840 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 41.

The spelling of 13643240576 in words is "thirteen billion, six hundred forty-three million, two hundred forty thousand, five hundred seventy-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 448 896 15226831 30453662 60907324 106587817 121814648 213175634 243629296 426351268 487258592 852702536 974517184 1705405072 1949034368 3410810144 6821620288 13643240576