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516961157445 = 3359374086811
BaseRepresentation
bin1111000010111010100…
…10010100000101000101
31211102100220121210012000
413201131102110011011
531432214024014240
61033253315415513
752230531223065
oct7413522240505
91742326553160
10516961157445
1118a273107097
12842352b4599
1339998091405
141b041ab13a5
15d6a9bd6430
hex785d494145

516961157445 has 32 divisors (see below), whose sum is σ = 920023117440. Its totient is φ = 275418299520.

The previous prime is 516961157423. The next prime is 516961157507. The reversal of 516961157445 is 544751169615.

516961157445 is a `hidden beast` number, since 5 + 1 + 6 + 9 + 61 + 1 + 574 + 4 + 5 = 666.

It is not a de Polignac number, because 516961157445 - 212 = 516961153349 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 516961157391 and 516961157400.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1916911 + ... + 2169900.

It is an arithmetic number, because the mean of its divisors is an integer number (28750722420).

Almost surely, 2516961157445 is an apocalyptic number.

It is an amenable number.

516961157445 is a deficient number, since it is larger than the sum of its proper divisors (403061959995).

516961157445 is a wasteful number, since it uses less digits than its factorization.

516961157445 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4087762 (or 4087756 counting only the distinct ones).

The product of its digits is 4536000, while the sum is 54.

The spelling of 516961157445 in words is "five hundred sixteen billion, nine hundred sixty-one million, one hundred fifty-seven thousand, four hundred forty-five".

Divisors: 1 3 5 9 15 27 45 135 937 2811 4685 8433 14055 25299 42165 126495 4086811 12260433 20434055 36781299 61302165 110343897 183906495 551719485 3829341907 11488025721 19146709535 34464077163 57440128605 103392231489 172320385815 516961157445