Search a number
-
+
75392160481 = 11151162128001
BaseRepresentation
bin100011000110110111…
…0010001001011100001
321012121012122120111001
41012031232101023201
52213400343113411
654345031352001
75306200535101
oct1061556211341
9235535576431
1075392160481
1129a78a00050
1212740822601
137156601461
143912bdb201
151e63bccdc1
hex118db912e1

75392160481 has 16 divisors (see below), whose sum is σ = 82844701056. Its totient is φ = 68040000000.

The previous prime is 75392160479. The next prime is 75392160499. The reversal of 75392160481 is 18406129357.

It is a 7-Lehmer number, since φ(75392160481) divides (75392160481-1)7.

It is a cyclic number.

It is not a de Polignac number, because 75392160481 - 21 = 75392160479 is a prime.

It is a super-2 number, since 2×753921604812 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (75392167481) 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 15 ways as a sum of consecutive naturals, for example, 2678481 + ... + 2706481.

It is an arithmetic number, because the mean of its divisors is an integer number (5177793816).

It is a 2-persistent number, because it is pandigital, and so is 2⋅75392160481 = 150784320962, but 3⋅75392160481 = 226176481443 is not.

Almost surely, 275392160481 is an apocalyptic number.

It is an amenable number.

75392160481 is a deficient number, since it is larger than the sum of its proper divisors (7452540575).

75392160481 is a wasteful number, since it uses less digits than its factorization.

75392160481 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29784.

The product of its (nonzero) digits is 362880, while the sum is 46.

The spelling of 75392160481 in words is "seventy-five billion, three hundred ninety-two million, one hundred sixty thousand, four hundred eighty-one".

Divisors: 1 11 151 1621 1661 17831 28001 244771 308011 2692481 4228151 45389621 46509661 499285831 6853832771 75392160481