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570006880144 = 24132145192
BaseRepresentation
bin10000100101101110000…
…11101011111110010000
32000111021202111200220021
420102313003223332100
533314333230131034
61113505121353224
756116205352622
oct10226703537620
92014252450807
10570006880144
111aa814029739
129257a198814
134199cb33c00
141d834b0ac12
15ec61b526b4
hex84b70ebf90

570006880144 has 45 divisors (see below), whose sum is σ = 1195958492913. Its totient is φ = 263061978816.

The previous prime is 570006880129. The next prime is 570006880181. The reversal of 570006880144 is 441088600075.

The square root of 570006880144 is 754988.

It is a perfect power (a square), and thus also a powerful number.

570006880144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 84320544400 + 485686335744 = 290380^2 + 696912^2 .

It is a super-2 number, since 2×5700068801442 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 570006880144.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 39252117 + ... + 39266635.

Almost surely, 2570006880144 is an apocalyptic number.

570006880144 is the 754988-th square number.

It is an amenable number.

570006880144 is an abundant number, since it is smaller than the sum of its proper divisors (625951612769).

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

570006880144 is an frugal number, since it uses more digits than its factorization.

570006880144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29072 (or 14534 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 43.

The spelling of 570006880144 in words is "five hundred seventy billion, six million, eight hundred eighty thousand, one hundred forty-four".

Divisors: 1 2 4 8 13 16 26 52 104 169 208 338 676 1352 2704 14519 29038 58076 116152 188747 232304 377494 754988 1509976 2453711 3019952 4907422 9814844 19629688 39259376 210801361 421602722 843205444 1686410888 2740417693 3372821776 5480835386 10961670772 21923341544 35625430009 43846683088 71250860018 142501720036 285003440072 570006880144