Search a number
-
+
65468286468 = 223213672087903
BaseRepresentation
bin111100111110001101…
…101100011000000100
320020222121010112120200
4330332031230120010
52033034340131333
650024204330500
74505236152564
oct747615543004
9206877115520
1065468286468
1125846160682
1210831243a30
136234618c60
143250c12da4
151a8285ac13
hexf3e36c604

65468286468 has 72 divisors (see below), whose sum is σ = 180879299328. Its totient is φ = 19843420608.

The previous prime is 65468286467. The next prime is 65468286487. The reversal of 65468286468 is 86468286456.

It is a happy number.

65468286468 is a `hidden beast` number, since 6 + 546 + 8 + 2 + 86 + 4 + 6 + 8 = 666.

65468286468 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×654682864682 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (65468286467) 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, 1012596 + ... + 1075307.

Almost surely, 265468286468 is an apocalyptic number.

It is an amenable number.

65468286468 is an abundant number, since it is smaller than the sum of its proper divisors (115411012860).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

65468286468 is a wasteful number, since it uses less digits than its factorization.

65468286468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2087993 (or 2087988 counting only the distinct ones).

The product of its digits is 106168320, while the sum is 63.

The spelling of 65468286468 in words is "sixty-five billion, four hundred sixty-eight million, two hundred eighty-six thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 67 78 117 134 156 201 234 268 402 468 603 804 871 1206 1742 2412 2613 3484 5226 7839 10452 15678 31356 2087903 4175806 6263709 8351612 12527418 18791127 25054836 27142739 37582254 54285478 75164508 81428217 108570956 139889501 162856434 244284651 279779002 325712868 419668503 488569302 559558004 839337006 977138604 1259005509 1678674012 1818563513 2518011018 3637127026 5036022036 5455690539 7274254052 10911381078 16367071617 21822762156 32734143234 65468286468