Search a number
-
+
2693658890169 = 32132420832
BaseRepresentation
bin100111001100101010100…
…101001100111110111001
3100112111210201102111022100
4213030222211030332321
5323113103133441134
65421241054214013
7365416243533642
oct47145245147671
910474721374270
102693658890169
11949413246845
12376070ab4309
1316701b072a00
14945339506c9
154a10551c999
hex2732a94cfb9

2693658890169 has 27 divisors (see below), whose sum is σ = 4213258894767. Its totient is φ = 1657596850416.

The previous prime is 2693658890159. The next prime is 2693658890171. The reversal of 2693658890169 is 9610988563962.

The square root of 2693658890169 is 1641237.

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

2693658890169 is a `hidden beast` number, since 2 + 6 + 9 + 36 + 588 + 9 + 0 + 1 + 6 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 398470250025 + 2295188640144 = 631245^2 + 1514988^2 .

It is not a de Polignac number, because 2693658890169 - 221 = 2693656793017 is a prime.

It is a super-2 number, since 2×26936588901692 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2693658890097 and 2693658890106.

It is not an unprimeable number, because it can be changed into a prime (2693658890119) 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 26 ways as a sum of consecutive naturals, for example, 63987202 + ... + 64029284.

Almost surely, 22693658890169 is an apocalyptic number.

2693658890169 is the 1641237-th square number.

2693658890169 is the 820619-th centered octagonal number.

It is an amenable number.

2693658890169 is a deficient number, since it is larger than the sum of its proper divisors (1519600004598).

2693658890169 is an frugal number, since it uses more digits than its factorization.

2693658890169 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84198 (or 42099 counting only the distinct ones).

The product of its (nonzero) digits is 302330880, while the sum is 72.

The spelling of 2693658890169 in words is "two trillion, six hundred ninety-three billion, six hundred fifty-eight million, eight hundred ninety thousand, one hundred sixty-nine".

Divisors: 1 3 9 13 39 117 169 507 1521 42083 126249 378747 547079 1641237 4923711 7112027 21336081 64008243 1770978889 5312936667 15938810001 23022725557 69068176671 207204530013 299295432241 897886296723 2693658890169