Search a number
-
+
10506324246405 = 351353878585879
BaseRepresentation
bin1001100011100011000110…
…1110010111111110000101
31101012101122210121222012020
42120320301232113332011
52334113423001341110
634202312210513353
72133025336415061
oct230706156277605
941171583558166
1010506324246405
113390786157439
121218242895859
135b29855ac020
1428471a246aa1
15133460dabd70
hex98e31b97f85

10506324246405 has 16 divisors (see below), whose sum is σ = 18103204855680. Its totient is φ = 5172344244288.

The previous prime is 10506324246401. The next prime is 10506324246461. The reversal of 10506324246405 is 50464242360501.

It is a happy number.

It is not a de Polignac number, because 10506324246405 - 22 = 10506324246401 is a prime.

It is a super-2 number, since 2×105063242464052 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10506324246401) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26939292745 + ... + 26939293134.

It is an arithmetic number, because the mean of its divisors is an integer number (1131450303480).

Almost surely, 210506324246405 is an apocalyptic number.

10506324246405 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10506324246405 is a deficient number, since it is larger than the sum of its proper divisors (7596880609275).

10506324246405 is a wasteful number, since it uses less digits than its factorization.

10506324246405 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53878585900.

The product of its (nonzero) digits is 691200, while the sum is 42.

The spelling of 10506324246405 in words is "ten trillion, five hundred six billion, three hundred twenty-four million, two hundred forty-six thousand, four hundred five".

Divisors: 1 3 5 13 15 39 65 195 53878585879 161635757637 269392929395 700421616427 808178788185 2101264849281 3502108082135 10506324246405