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13364982650880 = 2113357192983151
BaseRepresentation
bin1100001001111100011100…
…0010110001100000000000
31202022200100121202020211000
43002133013002301200000
53222432441024312010
644231442133252000
72546405505060510
oct302370702614000
952280317666730
1013364982650880
11429306a311443
1215ba281794000
1375c40a60a123
14342c23683840
151829c1c247c0
hexc27c70b1800

13364982650880 has 3072 divisors, whose sum is σ = 60232273920000. Its totient is φ = 2742327705600.

The previous prime is 13364982650839. The next prime is 13364982650881. The reversal of 13364982650880 is 8805628946331.

It is a happy number.

13364982650880 is a `hidden beast` number, since 1 + 3 + 3 + 6 + 49 + 8 + 2 + 6 + 508 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (3072).

It is a super-2 number, since 2×133649826508802 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13364982650881) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 88509818805 + ... + 88509818955.

It is an arithmetic number, because the mean of its divisors is an integer number (19606860000).

Almost surely, 213364982650880 is an apocalyptic number.

13364982650880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13364982650880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30116136960000).

13364982650880 is an abundant number, since it is smaller than the sum of its proper divisors (46867291269120).

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

13364982650880 is a wasteful number, since it uses less digits than its factorization.

13364982650880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 325 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 59719680, while the sum is 63.

The spelling of 13364982650880 in words is "thirteen trillion, three hundred sixty-four billion, nine hundred eighty-two million, six hundred fifty thousand, eight hundred eighty".