Search a number
-
+
570070099872 = 2532713215310103
BaseRepresentation
bin10000100101110101101…
…00110110011110100000
32000111110011110121001200
420102322310312132200
533320000421143442
61113515300401200
756120603616660
oct10227264663640
92014404417050
10570070099872
111aa846789649
12925973a6200
13419acc6a530
141d83d2861a0
15ec6748e34c
hex84bad367a0

570070099872 has 288 divisors, whose sum is σ = 1996369659648. Its totient is φ = 150263451648.

The previous prime is 570070099861. The next prime is 570070099909. The reversal of 570070099872 is 278990070075.

It is a tau number, because it is divible by the number of its divisors (288).

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 47 ways as a sum of consecutive naturals, for example, 56420773 + ... + 56430875.

It is an arithmetic number, because the mean of its divisors is an integer number (6931839096).

Almost surely, 2570070099872 is an apocalyptic number.

570070099872 is a gapful number since it is divisible by the number (52) 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 570070099872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (998184829824).

570070099872 is an abundant number, since it is smaller than the sum of its proper divisors (1426299559776).

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

570070099872 is a wasteful number, since it uses less digits than its factorization.

570070099872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12292 (or 12281 counting only the distinct ones).

The product of its (nonzero) digits is 2222640, while the sum is 54.

The spelling of 570070099872 in words is "five hundred seventy billion, seventy million, ninety-nine thousand, eight hundred seventy-two".