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513414106614 = 23357037166693
BaseRepresentation
bin1110111100010011101…
…11011000110111110110
31211002012201012221012000
413132021313120313312
531402433002402424
61031505330040130
752043610621033
oct7361167306766
91732181187160
10513414106614
11188812973322
1283605419046
133955125cb76
141abc698638a
15d54d5d33c9
hex7789dd8df6

513414106614 has 32 divisors (see below), whose sum is σ = 1140947084640. Its totient is φ = 171134008416.

The previous prime is 513414106613. The next prime is 513414106633. The reversal of 513414106614 is 416601414315.

513414106614 is a `hidden beast` number, since 5 + 1 + 34 + 1 + 4 + 1 + 0 + 6 + 614 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (513414106613) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2996652 + ... + 3163344.

It is an arithmetic number, because the mean of its divisors is an integer number (35654596395).

Almost surely, 2513414106614 is an apocalyptic number.

513414106614 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

513414106614 is an abundant number, since it is smaller than the sum of its proper divisors (627532978026).

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

513414106614 is a wasteful number, since it uses less digits than its factorization.

513414106614 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223741 (or 223735 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 513414106614 in words is "five hundred thirteen billion, four hundred fourteen million, one hundred six thousand, six hundred fourteen".

Divisors: 1 2 3 6 9 18 27 54 57037 114074 166693 171111 333386 342222 500079 513333 1000158 1026666 1500237 1539999 3000474 3079998 4500711 9001422 9507668641 19015337282 28523005923 57046011846 85569017769 171138035538 256707053307 513414106614