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133463241632656 = 241317113993311179
BaseRepresentation
bin11110010110001001010101…
…000110111010101110010000
3122111112221221210010201222201
4132112021111012322232100
5114443130204324221111
61151504100005212544
740053254354652415
oct3626112506725620
9574487853121881
10133463241632656
1139586496581a11
1212b760a1701154
1359616b6937b20
1424d592645210c
151066a4280c6c1
hex7962551bab90

133463241632656 has 80 divisors (see below), whose sum is σ = 294883095024000. Its totient is φ = 57969879312384.

The previous prime is 133463241632599. The next prime is 133463241632701. The reversal of 133463241632656 is 656236142364331.

It is a super-2 number, since 2×1334632416326562 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 133463241632597 and 133463241632606.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38651275 + ... + 41962453.

It is an arithmetic number, because the mean of its divisors is an integer number (3686038687800).

Almost surely, 2133463241632656 is an apocalyptic number.

133463241632656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

133463241632656 is an abundant number, since it is smaller than the sum of its proper divisors (161419853391344).

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

133463241632656 is a wasteful number, since it uses less digits than its factorization.

133463241632656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3322616 (or 3322610 counting only the distinct ones).

The product of its digits is 33592320, while the sum is 55.

Adding to 133463241632656 its reverse (656236142364331), we get a palindrome (789699383996987).

The spelling of 133463241632656 in words is "one hundred thirty-three trillion, four hundred sixty-three billion, two hundred forty-one million, six hundred thirty-two thousand, six hundred fifty-six".

Divisors: 1 2 4 8 13 16 17 26 34 52 68 104 136 208 221 272 442 884 1768 3536 11399 22798 45596 91192 148187 182384 193783 296374 387566 592748 775132 1185496 1550264 2370992 2519179 3100528 3311179 5038358 6622358 10076716 13244716 20153432 26489432 40306864 43045327 52978864 56290043 86090654 112580086 172181308 225160172 344362616 450320344 688725232 731770559 900640688 1463541118 2927082236 5854164472 11708328944 37744129421 75488258842 150976517684 301953035368 490673682473 603906070736 641650200157 981347364946 1283300400314 1962694729892 2566600800628 3925389459784 5133201601256 7850778919568 8341452602041 10266403202512 16682905204082 33365810408164 66731620816328 133463241632656