Search a number
-
+
159919754255560 = 23513223249191079
BaseRepresentation
bin100100010111001000111000…
…001001010001110011001000
3202222020011211122011212021001
4210113020320021101303020
5131430111124042134220
61324042042040224344
745453551406540205
oct4427107011216310
9688204748155231
10159919754255560
1146a566501a5822
1215b2962a16b0b4
136b304a29a9c00
142b6c22bcc0cac
151374d2e51080a
hex917238251cc8

159919754255560 has 288 divisors, whose sum is σ = 408137833857600. Its totient is φ = 56364370782720.

The previous prime is 159919754255539. The next prime is 159919754255561. The reversal of 159919754255560 is 65552457919951.

It is not an unprimeable number, because it can be changed into a prime (159919754255561) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 1755790101 + ... + 1755881179.

It is an arithmetic number, because the mean of its divisors is an integer number (1417145256450).

Almost surely, 2159919754255560 is an apocalyptic number.

159919754255560 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 159919754255560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204068916928800).

159919754255560 is an abundant number, since it is smaller than the sum of its proper divisors (248218079602040).

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

159919754255560 is a wasteful number, since it uses less digits than its factorization.

159919754255560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91653 (or 91613 counting only the distinct ones).

The product of its (nonzero) digits is 765450000, while the sum is 73.

The spelling of 159919754255560 in words is "one hundred fifty-nine trillion, nine hundred nineteen billion, seven hundred fifty-four million, two hundred fifty-five thousand, five hundred sixty".