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213241069568 = 21525512
BaseRepresentation
bin1100011010011000101…
…0001000000000000000
3202101102010200201020102
43012212022020000000
511443204203211233
6241543412101532
721256212120242
oct3064612100000
9671363621212
10213241069568
118248702a7aa
12353b20048a8
1317154627797
14a46c880092
155830b441e8
hex31a6288000

213241069568 has 48 divisors (see below), whose sum is σ = 426642876855. Its totient is φ = 106578739200.

The previous prime is 213241069567. The next prime is 213241069621. The reversal of 213241069568 is 865960142312.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 106620534784 + 106620534784 = 326528^2 + 326528^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=326528.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (213241069567) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 83589893 + ... + 83592443.

Almost surely, 2213241069568 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 213241069568

213241069568 is an abundant number, since it is smaller than the sum of its proper divisors (213401807287).

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

213241069568 is an frugal number, since it uses more digits than its factorization.

213241069568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5132 (or 2553 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 47.

The spelling of 213241069568 in words is "two hundred thirteen billion, two hundred forty-one million, sixty-nine thousand, five hundred sixty-eight".

Divisors: 1 2 4 8 16 32 64 128 256 512 1024 2048 2551 4096 5102 8192 10204 16384 20408 32768 40816 81632 163264 326528 653056 1306112 2612224 5224448 6507601 10448896 13015202 20897792 26030404 41795584 52060808 83591168 104121616 208243232 416486464 832972928 1665945856 3331891712 6663783424 13327566848 26655133696 53310267392 106620534784 213241069568