Search a number
-
+
7023893969169 = 32741141492
BaseRepresentation
bin110011000110110000010…
…1101000111100100010001
3220212110220020200101010100
41212031200231013210101
51410034413324003134
622534422104123013
71323313432440000
oct146154055074421
926773806611110
107023893969169
1122688a9040000
1295533ba66469
133bc47297c11c
141a3d5b750c37
15c2a93248999
hex66360b47911

7023893969169 has 225 divisors, whose sum is σ = 13107327439115. Its totient is φ = 3624287657760.

The previous prime is 7023893969167. The next prime is 7023893969189. The reversal of 7023893969169 is 9619693983207.

The square root of 7023893969169 is 2650263.

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

7023893969169 is a `hidden beast` number, since 70 + 2 + 3 + 8 + 9 + 396 + 9 + 169 = 666.

It can be written as a sum of positive squares in only one way, i.e., 822897536769 + 6200996432400 = 907137^2 + 2490180^2 .

It is not a de Polignac number, because 7023893969169 - 21 = 7023893969167 is a prime.

It is a super-2 number, since 2×70238939691692 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 7023893969097 and 7023893969106.

It is not an unprimeable number, because it can be changed into a prime (7023893969167) 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 224 ways as a sum of consecutive naturals, for example, 47140227907 + ... + 47140228055.

Almost surely, 27023893969169 is an apocalyptic number.

7023893969169 is the 2650263-rd square number.

7023893969169 is the 1325132-nd centered octagonal number.

It is an amenable number.

7023893969169 is a deficient number, since it is larger than the sum of its proper divisors (6083433469946).

7023893969169 is an frugal number, since it uses more digits than its factorization.

7023893969169 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 376 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 238085568, while the sum is 72.

The spelling of 7023893969169 in words is "seven trillion, twenty-three billion, eight hundred ninety-three million, nine hundred sixty-nine thousand, one hundred sixty-nine".