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516600342272 = 287243395111
BaseRepresentation
bin1111000010001111100…
…01111010011100000000
31211101102202200110211002
413201013301322130000
531430444141423042
61033153430111132
752215560312600
oct7410761723400
91741382613732
10516600342272
1118a0a8475333
12841544ab4a8
133993b3bc601
141b009bcac00
15d6881b3132
hex7847c7a700

516600342272 has 108 divisors (see below), whose sum is σ = 1202322015216. Its totient is φ = 220886507520.

The previous prime is 516600342263. The next prime is 516600342277. The reversal of 516600342272 is 272243006615.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (516600342277) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5383997 + ... + 5479107.

It is an arithmetic number, because the mean of its divisors is an integer number (11132611252).

Almost surely, 2516600342272 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 516600342272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (601161007608).

516600342272 is an abundant number, since it is smaller than the sum of its proper divisors (685721672944).

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

516600342272 is an equidigital number, since it uses as much as digits as its factorization.

516600342272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95574 (or 95553 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 38.

Adding to 516600342272 its reverse (272243006615), we get a palindrome (788843348887).

The spelling of 516600342272 in words is "five hundred sixteen billion, six hundred million, three hundred forty-two thousand, two hundred seventy-two".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 256 392 433 448 784 866 896 1568 1732 1792 3031 3136 3464 6062 6272 6928 12124 12544 13856 21217 24248 27712 42434 48496 55424 84868 95111 96992 110848 169736 190222 193984 339472 380444 387968 665777 678944 760888 775936 1331554 1357888 1521776 2663108 2715776 3043552 4660439 5326216 5431552 6087104 9320878 10652432 12174208 18641756 21304864 24348416 37283512 41183063 42609728 74567024 82366126 85219456 149134048 164732252 170438912 288281441 298268096 329464504 576562882 596536192 658929008 1153125764 1193072384 1317858016 2017970087 2306251528 2635716032 4035940174 4612503056 5271432064 8071880348 9225006112 10542864128 16143760696 18450012224 32287521392 36900024448 64575042784 73800048896 129150085568 258300171136 516600342272