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512855067321 = 3447216932
BaseRepresentation
bin1110111011010001000…
…10110100101010111001
31211000202202021210110000
413131220202310222321
531400311344123241
61031334035543213
752024012100622
oct7355042645271
91730682253400
10512855067321
11188556351883
128348a15ab09
13394924a619c
141ab72622a49
15d5194a6eb6
hex77688b4ab9

512855067321 has 45 divisors (see below), whose sum is σ = 783226629471. Its totient is φ = 334431183888.

The previous prime is 512855067311. The next prime is 512855067323. The reversal of 512855067321 is 123760558215.

The square root of 512855067321 is 716139.

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

512855067321 is a `hidden beast` number, since 5 + 1 + 2 + 8 + 550 + 6 + 73 + 21 = 666.

It can be written as a sum of positive squares in only one way, i.e., 195394941225 + 317460126096 = 442035^2 + 563436^2 .

It is not a de Polignac number, because 512855067321 - 217 = 512854936249 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (512855067323) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 302925951 + ... + 302927643.

Almost surely, 2512855067321 is an apocalyptic number.

512855067321 is the 716139-th square number.

512855067321 is the 358070-th centered octagonal number.

It is an amenable number.

512855067321 is a deficient number, since it is larger than the sum of its proper divisors (270371562150).

512855067321 is an frugal number, since it uses more digits than its factorization.

512855067321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3492 (or 1743 counting only the distinct ones).

The product of its (nonzero) digits is 504000, while the sum is 45.

The spelling of 512855067321 in words is "five hundred twelve billion, eight hundred fifty-five million, sixty-seven thousand, three hundred twenty-one".

Divisors: 1 3 9 27 47 81 141 423 1269 1693 2209 3807 5079 6627 15237 19881 45711 59643 79571 137133 178929 238713 716139 2148417 2866249 3739837 6445251 8598747 11219511 25796241 33658533 77388723 100975599 134713703 232166169 302926797 404141109 1212423327 3637269981 6331544041 10911809943 18994632123 56983896369 170951689107 512855067321