Search a number
-
+
13965263253 = 32311071313571
BaseRepresentation
bin11010000000110010…
…10000000110010101
31100001021002212201100
431000121100012111
5212100101411003
610225432020313
71003033531134
oct150031200625
940037085640
1013965263253
115a17032a87
122858b31699
131417368ba6
14966a3391b
1556b070ba3
hex340650195

13965263253 has 48 divisors (see below), whose sum is σ = 21183731712. Its totient is φ = 8855028000.

The previous prime is 13965263227. The next prime is 13965263297. The reversal of 13965263253 is 35236256931.

It is a happy number.

13965263253 is a `hidden beast` number, since 1 + 3 + 9 + 6 + 5 + 2 + 632 + 5 + 3 = 666.

It is a de Polignac number, because none of the positive numbers 2k-13965263253 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13965263199 and 13965263208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13965263453) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3908958 + ... + 3912528.

It is an arithmetic number, because the mean of its divisors is an integer number (441327744).

Almost surely, 213965263253 is an apocalyptic number.

It is an amenable number.

13965263253 is a deficient number, since it is larger than the sum of its proper divisors (7218468459).

13965263253 is a wasteful number, since it uses less digits than its factorization.

13965263253 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3846 (or 3843 counting only the distinct ones).

The product of its digits is 874800, while the sum is 45.

The spelling of 13965263253 in words is "thirteen billion, nine hundred sixty-five million, two hundred sixty-three thousand, two hundred fifty-three".

Divisors: 1 3 9 31 93 107 131 279 321 393 963 1179 3317 3571 4061 9951 10713 12183 14017 29853 32139 36549 42051 110701 126153 332103 382097 434527 467801 996309 1146291 1303581 1403403 3438873 3910743 4210209 11845007 14501831 35535021 43505493 50054707 106605063 130516479 150164121 450492363 1551695917 4655087751 13965263253