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3106804587769 = 43217922292
BaseRepresentation
bin101101001101011011111…
…110111101110011111001
3102000000012112221111022001
4231031123332331303321
5401400213433302034
610335125112301001
7440313341162641
oct55153376756371
912000175844261
103106804587769
11a98652217333
124221526a1761
13196c8000652c
14aa527967521
1555c36047a14
hex2d35bfbdcf9

3106804587769 has 27 divisors (see below), whose sum is σ = 3212633566863. Its totient is φ = 3004423211664.

The previous prime is 3106804587767. The next prime is 3106804587827. The reversal of 3106804587769 is 9677854086013.

The square root of 3106804587769 is 1762613.

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., 2893526875369 + 213277712400 = 1701037^2 + 461820^2 .

It is not a de Polignac number, because 3106804587769 - 21 = 3106804587767 is a prime.

It is a super-2 number, since 2×31068045877692 (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 3106804587769.

It is not an unprimeable number, because it can be changed into a prime (3106804587767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 13566832147 + ... + 13566832375.

Almost surely, 23106804587769 is an apocalyptic number.

3106804587769 is the 1762613-rd square number.

3106804587769 is the 881307-th centered octagonal number.

It is an amenable number.

3106804587769 is a deficient number, since it is larger than the sum of its proper divisors (105828979094).

3106804587769 is an frugal number, since it uses more digits than its factorization.

3106804587769 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 902 (or 451 counting only the distinct ones).

The product of its (nonzero) digits is 60963840, while the sum is 64.

Multiplying 3106804587769 by its sum of digits (64), we get a square (198835493617216 = 141009042).

The spelling of 3106804587769 in words is "three trillion, one hundred six billion, eight hundred four million, five hundred eighty-seven thousand, seven hundred sixty-nine".

Divisors: 1 43 179 229 1849 7697 9847 32041 40991 52441 330971 423421 1377763 1762613 2254963 7337389 9386939 59243809 75792359 96963409 315507727 403638377 1680262081 13566832261 17356450211 72251269483 3106804587769