Search a number
-
+
1693071994761 = 3272619612
BaseRepresentation
bin11000101000110010111…
…101000110111110001001
312222212010002122200200100
4120220302331012332021
5210214402412313021
63333441520400013
7233214621335400
oct30506275067611
95885102580610
101693071994761
115a3034003724
12234166476009
13c386b3192a4
145bd335b2637
152e0924c6626
hex18a32f46f89

1693071994761 has 27 divisors (see below), whose sum is σ = 2844867564903. Its totient is φ = 967454097120.

The previous prime is 1693071994741. The next prime is 1693071994793. The reversal of 1693071994761 is 1674991703961.

The square root of 1693071994761 is 1301181.

It is a perfect power (a square), and thus also a powerful number.

1693071994761 is a `hidden beast` number, since 1 + 6 + 9 + 3 + 0 + 71 + 99 + 476 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1488080377161 + 204991617600 = 1219869^2 + 452760^2 .

It is not a de Polignac number, because 1693071994761 - 27 = 1693071994633 is a prime.

It is a super-2 number, since 2×16930719947612 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (1693071994741) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 27293821 + ... + 27355781.

Almost surely, 21693071994761 is an apocalyptic number.

1693071994761 is the 1301181-st square number.

1693071994761 is the 650591-st centered octagonal number.

It is an amenable number.

1693071994761 is a deficient number, since it is larger than the sum of its proper divisors (1151795570142).

1693071994761 is an frugal number, since it uses more digits than its factorization.

1693071994761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123942 (or 61971 counting only the distinct ones).

The product of its (nonzero) digits is 15431472, while the sum is 63.

The spelling of 1693071994761 in words is "one trillion, six hundred ninety-three billion, seventy-one million, nine hundred ninety-four thousand, seven hundred sixty-one".

Divisors: 1 3 7 9 21 49 63 147 441 61961 185883 433727 557649 1301181 3036089 3903543 9108267 27324801 3839165521 11517496563 26874158647 34552489689 80622475941 188119110529 241867427823 564357331587 1693071994761