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516195693 = 331323431487
BaseRepresentation
bin11110110001001…
…000010101101101
31022222022110101000
4132301020111231
52024121230233
6123115510513
715535406466
oct3661102555
91288273330
10516195693
11245419512
12124a58439
1382c35a50
144c7add6d
15304b6d13
hex1ec4856d

516195693 has 64 divisors (see below), whose sum is σ = 879943680. Its totient is φ = 296581824.

The previous prime is 516195649. The next prime is 516195697. The reversal of 516195693 is 396591615.

It is not a de Polignac number, because 516195693 - 212 = 516191597 is a prime.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (516195697) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 346396 + ... + 347882.

It is an arithmetic number, because the mean of its divisors is an integer number (13749120).

Almost surely, 2516195693 is an apocalyptic number.

It is an amenable number.

516195693 is a deficient number, since it is larger than the sum of its proper divisors (363747987).

516195693 is a wasteful number, since it uses less digits than its factorization.

516195693 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1575 (or 1569 counting only the distinct ones).

The product of its digits is 218700, while the sum is 45.

The square root of 516195693 is about 22719.9404268585. The cubic root of 516195693 is about 802.1793146147.

The spelling of 516195693 in words is "five hundred sixteen million, one hundred ninety-five thousand, six hundred ninety-three".

Divisors: 1 3 9 13 23 27 39 43 69 117 129 207 299 351 387 559 621 897 989 1161 1487 1677 2691 2967 4461 5031 8073 8901 12857 13383 15093 19331 26703 34201 38571 40149 57993 63941 102603 115713 173979 191823 307809 347139 444613 521937 575469 831233 923427 1333839 1470643 1726407 2493699 4001517 4411929 7481097 12004551 13235787 19118359 22443291 39707361 57355077 172065231 516195693