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4178133945 = 325175461613
BaseRepresentation
bin1111100100001001…
…0100001110111001
3101210011220012021200
43321002110032321
532024100241240
61530331524413
7205352360346
oct37102241671
911704805250
104178133945
1118544a1967
129872b9709
135177c110b
142b8c837cd
15196c10930
hexf90943b9

4178133945 has 24 divisors (see below), whose sum is σ = 7668106056. Its totient is φ = 2097259008.

The previous prime is 4178133941. The next prime is 4178133989. The reversal of 4178133945 is 5493318714.

4178133945 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1688223744 + 2489910201 = 41088^2 + 49899^2 .

It is not a de Polignac number, because 4178133945 - 22 = 4178133941 is a prime.

It is a super-2 number, since 2×41781339452 = 34913606524722526050, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 4178133945.

It is not an unprimeable number, because it can be changed into a prime (4178133941) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2730042 + ... + 2731571.

It is an arithmetic number, because the mean of its divisors is an integer number (319504419).

Almost surely, 24178133945 is an apocalyptic number.

4178133945 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4178133945 is a deficient number, since it is larger than the sum of its proper divisors (3489972111).

4178133945 is a wasteful number, since it uses less digits than its factorization.

4178133945 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5461641 (or 5461638 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The square root of 4178133945 is about 64638.4865618000. The cubic root of 4178133945 is about 1610.6238268990.

The spelling of 4178133945 in words is "four billion, one hundred seventy-eight million, one hundred thirty-three thousand, nine hundred forty-five".

Divisors: 1 3 5 9 15 17 45 51 85 153 255 765 5461613 16384839 27308065 49154517 81924195 92847421 245772585 278542263 464237105 835626789 1392711315 4178133945