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12215648050560 = 273451316772657
BaseRepresentation
bin1011000111000010110101…
…0111001101110110000000
31121020210201111221010020000
42301300231113031312000
53100120121400104220
641551442524120000
72400360101133123
oct261605527156600
947223644833200
1012215648050560
11398a699954a99
121453583996000
136a7c138a8676
14303351db83ba
15162b55019390
hexb1c2d5cdd80

12215648050560 has 640 divisors, whose sum is σ = 44038792527840. Its totient is φ = 3226649886720.

The previous prime is 12215648050547. The next prime is 12215648050577. The reversal of 12215648050560 is 6505084651221.

12215648050560 is a `hidden beast` number, since 1 + 2 + 2 + 1 + 5 + 6 + 4 + 80 + 5 + 0 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4597532752 + ... + 4597535408.

Almost surely, 212215648050560 is an apocalyptic number.

12215648050560 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 12215648050560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22019396263920).

12215648050560 is an abundant number, since it is smaller than the sum of its proper divisors (31823144477280).

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

12215648050560 is a wasteful number, since it uses less digits than its factorization.

12215648050560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3496 (or 3475 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 45.

The spelling of 12215648050560 in words is "twelve trillion, two hundred fifteen billion, six hundred forty-eight million, fifty thousand, five hundred sixty".