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506014345134 = 23337733469321
BaseRepresentation
bin1110101110100001100…
…11100010011110101110
31210101010000021002202000
413113100303202132232
531242304133021014
61024243151313130
751362335652304
oct7272063423656
91711100232660
10506014345134
111856659a6a71
128209b21b7a6
133894219a08c
141a6c3cc8274
15d268b51509
hex75d0ce27ae

506014345134 has 64 divisors (see below), whose sum is σ = 1170688015680. Its totient is φ = 161864593920.

The previous prime is 506014345129. The next prime is 506014345139. The reversal of 506014345134 is 431543410605.

506014345134 is a `hidden beast` number, since 5 + 0 + 60 + 143 + 451 + 3 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (506014345129) and next prime (506014345139).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (506014345139) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1588807 + ... + 1880514.

It is an arithmetic number, because the mean of its divisors is an integer number (18292000245).

Almost surely, 2506014345134 is an apocalyptic number.

506014345134 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

506014345134 is an abundant number, since it is smaller than the sum of its proper divisors (664673670546).

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

506014345134 is a wasteful number, since it uses less digits than its factorization.

506014345134 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3469442 (or 3469436 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

Adding to 506014345134 its reverse (431543410605), we get a palindrome (937557755739).

The spelling of 506014345134 in words is "five hundred six billion, fourteen million, three hundred forty-five thousand, one hundred thirty-four".

Divisors: 1 2 3 6 9 18 27 37 54 73 74 111 146 219 222 333 438 657 666 999 1314 1971 1998 2701 3942 5402 8103 16206 24309 48618 72927 145854 3469321 6938642 10407963 20815926 31223889 62447778 93671667 128364877 187343334 253260433 256729754 385094631 506520866 759781299 770189262 1155283893 1519562598 2279343897 2310567786 3465851679 4558687794 6838031691 6931703358 9370636021 13676063382 18741272042 28111908063 56223816126 84335724189 168671448378 253007172567 506014345134