Search a number
-
+
1220604005808 = 24321131115321559
BaseRepresentation
bin10001110000110001101…
…010110000110110110000
311022200120222210001102200
4101300301222300312300
5124444244111141213
62332423203543200
7154120463601555
oct21606152606660
94280528701380
101220604005808
1143072315a670
1217868998ab00
138b144161615
1443112b1aa2c
1521b3d9b6273
hex11c31ab0db0

1220604005808 has 240 divisors, whose sum is σ = 3850266900480. Its totient is φ = 357621350400.

The previous prime is 1220604005783. The next prime is 1220604005821. The reversal of 1220604005808 is 8085004060221.

1220604005808 is a `hidden beast` number, since 12 + 2 + 0 + 60 + 4 + 0 + 0 + 580 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 56606133 + ... + 56627691.

It is an arithmetic number, because the mean of its divisors is an integer number (16042778752).

Almost surely, 21220604005808 is an apocalyptic number.

1220604005808 is a gapful number since it is divisible by the number (18) 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 1220604005808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1925133450240).

1220604005808 is an abundant number, since it is smaller than the sum of its proper divisors (2629662894672).

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

1220604005808 is a wasteful number, since it uses less digits than its factorization.

1220604005808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22768 (or 22759 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The spelling of 1220604005808 in words is "one trillion, two hundred twenty billion, six hundred four million, five thousand, eight hundred eight".