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1220942482704 = 243474147211331
BaseRepresentation
bin10001110001000101110…
…101111100110100010000
311022201110120200110110000
4101301011311330310100
5130000442233421304
62332520534410000
7154132043603640
oct21610565746420
94281416613400
101220942482704
1143088722433a
12178763200900
138b1993118c9
1443145a68520
1521b5d575939
hex11c45d7cd10

1220942482704 has 800 divisors, whose sum is σ = 4257959473152. Its totient is φ = 330511104000.

The previous prime is 1220942482693. The next prime is 1220942482759. The reversal of 1220942482704 is 4072842490221.

1220942482704 is a `hidden beast` number, since 12 + 2 + 0 + 94 + 2 + 482 + 70 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 1220942482704.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 3688647819 + ... + 3688648149.

Almost surely, 21220942482704 is an apocalyptic number.

1220942482704 is a gapful number since it is divisible by the number (14) 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 1220942482704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2128979736576).

1220942482704 is an abundant number, since it is smaller than the sum of its proper divisors (3037016990448).

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

1220942482704 is a wasteful number, since it uses less digits than its factorization.

1220942482704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 657 (or 642 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 1220942482704 in words is "one trillion, two hundred twenty billion, nine hundred forty-two million, four hundred eighty-two thousand, seven hundred four".