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553903597009 = 721063212
BaseRepresentation
bin10000000111101110011…
…10100010010111010001
31221221201111100011021101
420003313032202113101
533033343310101014
61102243152224401
755006150614400
oct10036716422721
91857644304241
10553903597009
111a3a0015a784
128b42523b101
13403048579c9
141cb48171637
15e61d059474
hex80f73a25d1

553903597009 has 9 divisors (see below), whose sum is σ = 644342897691. Its totient is φ = 474770046240.

The previous prime is 553903596997. The next prime is 553903597021. The reversal of 553903597009 is 900795309355.

The square root of 553903597009 is 744247.

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

It is an interprime number because it is at equal distance from previous prime (553903596997) and next prime (553903597021).

It can be written as a sum of positive squares in only one way, i.e., 1260037009 + 552643560000 = 35497^2 + 743400^2 .

It is not a de Polignac number, because 553903597009 - 211 = 553903594961 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (553903597409) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 5156569 + ... + 5262889.

It is an arithmetic number, because the mean of its divisors is an integer number (71593655299).

Almost surely, 2553903597009 is an apocalyptic number.

553903597009 is the 744247-th square number.

553903597009 is the 372124-th centered octagonal number.

It is an amenable number.

553903597009 is a deficient number, since it is larger than the sum of its proper divisors (90439300682).

553903597009 is an frugal number, since it uses more digits than its factorization.

553903597009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212656 (or 106328 counting only the distinct ones).

The product of its (nonzero) digits is 5740875, while the sum is 55.

The spelling of 553903597009 in words is "five hundred fifty-three billion, nine hundred three million, five hundred ninety-seven thousand, nine".

Divisors: 1 7 49 106321 744247 5209729 11304155041 79129085287 553903597009