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514226066004 = 22337680193209
BaseRepresentation
bin1110111101110100100…
…00110001001001010100
31211011022022001202002000
413132322100301021110
531411113333103004
61032122053115300
752103000304420
oct7367220611124
91734268052060
10514226066004
1118909a232442
12837b1328b30
133965053c401
141ac62745b80
15d599a1dc39
hex77ba431254

514226066004 has 48 divisors (see below), whose sum is σ = 1523632790400. Its totient is φ = 146921732928.

The previous prime is 514226065987. The next prime is 514226066033. The reversal of 514226066004 is 400660622415.

514226066004 is a `hidden beast` number, since 5 + 1 + 42 + 2 + 6 + 0 + 6 + 600 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 514226066004.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 340095849 + ... + 340097360.

It is an arithmetic number, because the mean of its divisors is an integer number (31742349800).

Almost surely, 2514226066004 is an apocalyptic number.

514226066004 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

514226066004 is an abundant number, since it is smaller than the sum of its proper divisors (1009406724396).

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

514226066004 is a wasteful number, since it uses less digits than its factorization.

514226066004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 680193229 (or 680193221 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

Adding to 514226066004 its reverse (400660622415), we get a palindrome (914886688419).

The spelling of 514226066004 in words is "five hundred fourteen billion, two hundred twenty-six million, sixty-six thousand, four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 126 189 252 378 756 680193209 1360386418 2040579627 2720772836 4081159254 4761352463 6121738881 8162318508 9522704926 12243477762 14284057389 18365216643 19045409852 24486955524 28568114778 36730433286 42852172167 57136229556 73460866572 85704344334 128556516501 171408688668 257113033002 514226066004