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1006035078169 = 112911832
BaseRepresentation
bin11101010001111000101…
…11010000110000011001
310120011202022111011100201
432220330113100300121
5112440324440000134
62050055515102201
7132453326033062
oct16507427206031
93504668434321
101006035078169
11358725635500
12142b87141961
1373b3a6c6b04
1436999b87569
151b2814cc914
hexea3c5d0c19

1006035078169 has 9 divisors (see below), whose sum is σ = 1105819279509. Its totient is φ = 914567313660.

The previous prime is 1006035078163. The next prime is 1006035078199. The reversal of 1006035078169 is 9618705306001.

It is a happy number.

The square root of 1006035078169 is 1003013.

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

It is not a de Polignac number, because 1006035078169 - 223 = 1006026689561 is a prime.

It is a super-2 number, since 2×10060350781692 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1006035078163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 10987552 + ... + 11078734.

Almost surely, 21006035078169 is an apocalyptic number.

1006035078169 is the 1003013-rd square number.

1006035078169 is the 501507-th centered octagonal number.

It is an amenable number.

1006035078169 is a deficient number, since it is larger than the sum of its proper divisors (99784201340).

1006035078169 is an frugal number, since it uses more digits than its factorization.

1006035078169 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182388 (or 91194 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 46.

The spelling of 1006035078169 in words is "one trillion, six billion, thirty-five million, seventy-eight thousand, one hundred sixty-nine".

Divisors: 1 11 121 91183 1003013 11033143 8314339489 91457734379 1006035078169