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3425146157568 = 293293112719531
BaseRepresentation
bin110001110101111010100…
…111101011101000000000
3110010102220022202210202010
4301311322213223220000
5422104144404020233
611141253533052520
7502313212653612
oct61657247535000
913112808683663
103425146157568
111100661792483
12473996627140
131bacb3a59705
14bbac6a0adb2
155e168a80b63
hex31d7a9eba00

3425146157568 has 320 divisors, whose sum is σ = 9821177118720. Its totient is φ = 1058332262400.

The previous prime is 3425146157509. The next prime is 3425146157617. The reversal of 3425146157568 is 8657516415243.

3425146157568 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 175359963 + ... + 175379493.

It is an arithmetic number, because the mean of its divisors is an integer number (30691178496).

Almost surely, 23425146157568 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3425146157568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4910588559360).

3425146157568 is an abundant number, since it is smaller than the sum of its proper divisors (6396030961152).

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

3425146157568 is a wasteful number, since it uses less digits than its factorization.

3425146157568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19739 (or 19723 counting only the distinct ones).

The product of its digits is 24192000, while the sum is 57.

The spelling of 3425146157568 in words is "three trillion, four hundred twenty-five billion, one hundred forty-six million, one hundred fifty-seven thousand, five hundred sixty-eight".