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510909018841 = 132549832
BaseRepresentation
bin1110110111101001000…
…11001111001011011001
31210211202010110021210101
413123310203033023121
531332320202100331
61030413001215401
751624542002114
oct7336443171331
91724663407711
10510909018841
11187747904851
1283026491561
133924226ba00
141aa29dad57b
15d453700061
hex76f48cf2d9

510909018841 has 9 divisors (see below), whose sum is σ = 553242904959. Its totient is φ = 471599747736.

The previous prime is 510909018833. The next prime is 510909018871. The reversal of 510909018841 is 148810909015.

The square root of 510909018841 is 714779.

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., 75578257225 + 435330761616 = 274915^2 + 659796^2 .

It is not a de Polignac number, because 510909018841 - 23 = 510909018833 is a prime.

It is a super-2 number, since 2×5109090188412 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 510909018791 and 510909018800.

It is not an unprimeable number, because it can be changed into a prime (510909018871) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 9264636 + ... + 9319618.

Almost surely, 2510909018841 is an apocalyptic number.

510909018841 is the 714779-th square number.

510909018841 is the 357390-th centered octagonal number.

It is an amenable number.

510909018841 is a deficient number, since it is larger than the sum of its proper divisors (42333886118).

510909018841 is an frugal number, since it uses more digits than its factorization.

510909018841 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109992 (or 54996 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 46.

The spelling of 510909018841 in words is "five hundred ten billion, nine hundred nine million, eighteen thousand, eight hundred forty-one".

Divisors: 1 13 169 54983 714779 9292127 3023130289 39300693757 510909018841