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203421872860816 = 243121150212
BaseRepresentation
bin101110010000001011011000…
…011110001010111010010000
3222200020221102002010011022111
4232100023120132022322100
5203130330443423021231
62000350415052315104
760563513433604261
oct5620133036127220
9880227362104274
10203421872860816
11598a880603a4a5
121a994631772a94
1389677a5b257bc
143833957a06968
15187b70a5944b1
hexb902d878ae90

203421872860816 has 45 divisors (see below), whose sum is σ = 407257411187529. Its totient is φ = 98429082724800.

The previous prime is 203421872860813. The next prime is 203421872860853. The reversal of 203421872860816 is 618068278124302.

The square root of 203421872860816 is 14262604.

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

It can be written as a sum of positive squares in only one way, i.e., 202715062742416 + 706810118400 = 14237804^2 + 840720^2 .

It is a super-2 number, since 2×2034218728608162 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (203421872860813) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1768505386 + ... + 1768620406.

Almost surely, 2203421872860816 is an apocalyptic number.

203421872860816 is the 14262604-th square number.

It is an amenable number.

203421872860816 is an abundant number, since it is smaller than the sum of its proper divisors (203835538326713).

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

203421872860816 is an frugal number, since it uses more digits than its factorization.

203421872860816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230112 (or 115054 counting only the distinct ones).

The product of its (nonzero) digits is 12386304, while the sum is 58.

The spelling of 203421872860816 in words is "two hundred three trillion, four hundred twenty-one billion, eight hundred seventy-two million, eight hundred sixty thousand, eight hundred sixteen".

Divisors: 1 2 4 8 16 31 62 124 248 496 961 1922 3844 7688 15376 115021 230042 460084 920168 1840336 3565651 7131302 14262604 28525208 57050416 110535181 221070362 442140724 884281448 1768562896 13229830441 26459660882 52919321764 105838643528 211677287056 410124743671 820249487342 1640498974684 3280997949368 6561995898736 12713867053801 25427734107602 50855468215204 101710936430408 203421872860816