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3485272430976 = 273719437920089
BaseRepresentation
bin110010101101111010011…
…011001101100110000000
3110100012002121221222001020
4302231322123031212000
5424100314220242401
611225040111505440
7506542204601430
oct62557233154600
913305077858036
103485272430976
111124106476626
12483576828280
131c38766c909b
14c098c1702c0
15609d7427d36
hex32b7a6cd980

3485272430976 has 512 divisors, whose sum is σ = 11540981760000. Its totient is φ = 909733773312.

The previous prime is 3485272430909. The next prime is 3485272430987. The reversal of 3485272430976 is 6790342725843.

It is a happy number.

3485272430976 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 173481540 + ... + 173501628.

It is an arithmetic number, because the mean of its divisors is an integer number (22540980000).

Almost surely, 23485272430976 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 3485272430976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5770490880000).

3485272430976 is an abundant number, since it is smaller than the sum of its proper divisors (8055709329024).

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

3485272430976 is a wasteful number, since it uses less digits than its factorization.

3485272430976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20254 (or 20242 counting only the distinct ones).

The product of its (nonzero) digits is 60963840, while the sum is 60.

The spelling of 3485272430976 in words is "three trillion, four hundred eighty-five billion, two hundred seventy-two million, four hundred thirty thousand, nine hundred seventy-six".