Search a number
-
+
5457667545 = 335113675197
BaseRepresentation
bin1010001010100110…
…10110010111011001
3112002100120020102000
411011103112113121
542134130330140
62301320431213
7252150260121
oct50523262731
915070506360
105457667545
112350790450
121083918509
1368c9115a5
1439ab97c81
1521e20ba30
hex1454d65d9

5457667545 has 32 divisors (see below), whose sum is σ = 10584570240. Its totient is φ = 2646141120.

The previous prime is 5457667541. The next prime is 5457667571.

It is a happy number.

5457667545 is a `hidden beast` number, since 5 + 4 + 576 + 67 + 5 + 4 + 5 = 666.

5457667545 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 5457667545 - 22 = 5457667541 is a prime.

It is a super-2 number, since 2×54576675452 = 59572270063492654050, which contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 5457667491 and 5457667500.

It is not an unprimeable number, because it can be changed into a prime (5457667541) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1836114 + ... + 1839083.

It is an arithmetic number, because the mean of its divisors is an integer number (330767820).

Almost surely, 25457667545 is an apocalyptic number.

5457667545 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

5457667545 is a deficient number, since it is larger than the sum of its proper divisors (5126902695).

5457667545 is a wasteful number, since it uses less digits than its factorization.

5457667545 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3675222 (or 3675216 counting only the distinct ones).

The product of its digits is 17640000, while the sum is 54.

The square root of 5457667545 is about 73876.0282161947. The cubic root of 5457667545 is about 1760.6337620535.

The spelling of 5457667545 in words is "five billion, four hundred fifty-seven million, six hundred sixty-seven thousand, five hundred forty-five".

Divisors: 1 3 5 9 11 15 27 33 45 55 99 135 165 297 495 1485 3675197 11025591 18375985 33076773 40427167 55127955 99230319 121281501 165383865 202135835 363844503 496151595 606407505 1091533509 1819222515 5457667545