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13196220986880 = 29355234389241
BaseRepresentation
bin1100000000000111110000…
…0100000111011000000000
31201201112202022220110100000
43000001330010013120000
53212201330033040010
644022132113200000
72531252441435421
oct300017404073000
951645668813300
1013196220986880
1142285387a4458
121591623860000
137495240aa849
143389b4279648
1517d3e5e887c0
hexc007c107600

13196220986880 has 1920 divisors, whose sum is σ = 51386621045760. Its totient is φ = 3237284413440.

The previous prime is 13196220986833. The next prime is 13196220986881. The reversal of 13196220986880 is 8868902269131.

13196220986880 is a `hidden beast` number, since 1 + 3 + 196 + 220 + 98 + 68 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a super-2 number, since 2×131962209868802 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13196220986881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 54756103560 + ... + 54756103800.

It is an arithmetic number, because the mean of its divisors is an integer number (26763865128).

Almost surely, 213196220986880 is an apocalyptic number.

13196220986880 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 13196220986880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25693310522880).

13196220986880 is an abundant number, since it is smaller than the sum of its proper divisors (38190400058880).

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

13196220986880 is an equidigital number, since it uses as much as digits as its factorization.

13196220986880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 434 (or 406 counting only the distinct ones).

The product of its (nonzero) digits is 17915904, while the sum is 63.

The spelling of 13196220986880 in words is "thirteen trillion, one hundred ninety-six billion, two hundred twenty million, nine hundred eighty-six thousand, eight hundred eighty".