Search a number
-
+
53442024435 = 3251319065653
BaseRepresentation
bin110001110001011001…
…001001001111110011
312002221110121010111100
4301301121021033303
51333422124240220
640315000015443
73601225466262
oct616131111763
9162843533440
1053442024435
11207346a1a48
12a435761583
135068bba987
14282d91a5d9
1515cbb4dd90
hexc716493f3

53442024435 has 24 divisors (see below), whose sum is σ = 93339973584. Its totient is φ = 28284834240.

The previous prime is 53442024409. The next prime is 53442024437.

53442024435 is a `hidden beast` number, since 5 + 3 + 4 + 4 + 202 + 443 + 5 = 666.

53442024435 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 53442024435 - 212 = 53442020339 is a prime.

It is a super-2 number, since 2×534420244352 (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 53442024435.

It is not an unprimeable number, because it can be changed into a prime (53442024437) 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 23 ways as a sum of consecutive naturals, for example, 4526932 + ... + 4538721.

It is an arithmetic number, because the mean of its divisors is an integer number (3889165566).

Almost surely, 253442024435 is an apocalyptic number.

53442024435 is a deficient number, since it is larger than the sum of its proper divisors (39897949149).

53442024435 is a wasteful number, since it uses less digits than its factorization.

53442024435 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9065795 (or 9065792 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 36.

It can be divided in two parts, 534420 and 24435, that added together give a palindrome (558855).

The spelling of 53442024435 in words is "fifty-three billion, four hundred forty-two million, twenty-four thousand, four hundred thirty-five".

Divisors: 1 3 5 9 15 45 131 393 655 1179 1965 5895 9065653 27196959 45328265 81590877 135984795 407954385 1187600543 3562801629 5938002715 10688404887 17814008145 53442024435