Search a number
-
+
165740994769 = 7219230612
BaseRepresentation
bin1001101001011011101…
…1101110000011010001
3120211210202220220021211
42122112323232003101
510203414143313034
6204050152420121
714655134132200
oct2322673560321
9524722826254
10165740994769
116432151a539
12281563a7641
131282478c14c
148044181237
1544a09b2d64
hex2696eee0d1

165740994769 has 27 divisors (see below), whose sum is σ = 203548728411. Its totient is φ = 134542704240.

The previous prime is 165740994703. The next prime is 165740994779. The reversal of 165740994769 is 967499047561.

The square root of 165740994769 is 407113.

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

It can be written as a sum of positive squares in only one way, i.e., 158035666369 + 7705328400 = 397537^2 + 87780^2 .

It is not a de Polignac number, because 165740994769 - 29 = 165740994257 is a prime.

It is a super-4 number, since 4×1657409947694 (a number of 46 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (165740994779) 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, 54144499 + ... + 54147559.

It is an arithmetic number, because the mean of its divisors is an integer number (7538841793).

Almost surely, 2165740994769 is an apocalyptic number.

165740994769 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

165740994769 is the 407113-rd square number.

165740994769 is the 203557-th centered octagonal number.

It is an amenable number.

165740994769 is a deficient number, since it is larger than the sum of its proper divisors (37807733642).

165740994769 is an frugal number, since it uses more digits than its factorization.

165740994769 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6174 (or 3087 counting only the distinct ones).

The product of its (nonzero) digits is 102876480, while the sum is 67.

The spelling of 165740994769 in words is "one hundred sixty-five billion, seven hundred forty million, nine hundred ninety-four thousand, seven hundred sixty-nine".

Divisors: 1 7 19 49 133 361 931 2527 3061 17689 21427 58159 149989 407113 1105021 2849791 7735147 9369721 54146029 65588047 178024699 459116329 1246172893 3382469281 8723210251 23677284967 165740994769