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517070071741 = 172328331714741
BaseRepresentation
bin1111000011000111100…
…01110010011110111101
31211102122111120012111211
413201203301302132331
531432424414243431
61033312210044421
752233323043346
oct7414361623675
91742574505454
10517070071741
1118a319637003
1284265879711
13399b4806542
141b0523430cd
15d6b454c2b1
hex7863c727bd

517070071741 has 32 divisors (see below), whose sum is σ = 575155945728. Its totient is φ = 462355829760.

The previous prime is 517070071729. The next prime is 517070071789. The reversal of 517070071741 is 147170070715.

It is a cyclic number.

It is not a de Polignac number, because 517070071741 - 215 = 517070038973 is a prime.

It is a super-2 number, since 2×5170700717412 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 517070071694 and 517070071703.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (517070072741) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35069631 + ... + 35084371.

It is an arithmetic number, because the mean of its divisors is an integer number (17973623304).

Almost surely, 2517070071741 is an apocalyptic number.

It is an amenable number.

517070071741 is a deficient number, since it is larger than the sum of its proper divisors (58085873987).

517070071741 is a wasteful number, since it uses less digits than its factorization.

517070071741 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15381.

The product of its (nonzero) digits is 48020, while the sum is 40.

The spelling of 517070071741 in words is "five hundred seventeen billion, seventy million, seventy-one thousand, seven hundred forty-one".

Divisors: 1 17 23 283 317 391 4811 5389 6509 7291 14741 89711 110653 123947 250597 339043 1525087 2063353 4171703 4672897 5763731 35077001 70918951 79439249 95949169 107476631 1322429851 1631135873 1827102727 22481307467 30415886573 517070071741