Search a number
-
+
6341223135753 = 331121350919649
BaseRepresentation
bin101110001000110111001…
…0110100011101000001001
3211110012210202001211222000
41130101232112203220021
51312343311110321003
621253041231021213
71223065264212012
oct134215626435011
924405722054860
106341223135753
112025330165790
12864b7a96a809
1336cc89775c0c
1417ccb9b32009
15aee3a6d91a3
hex5c46e5a3a09

6341223135753 has 16 divisors (see below), whose sum is σ = 10248441432000. Its totient is φ = 3843165536640.

The previous prime is 6341223135739. The next prime is 6341223135781. The reversal of 6341223135753 is 3575313221436.

6341223135753 is a `hidden beast` number, since 6 + 3 + 4 + 12 + 231 + 357 + 53 = 666.

6341223135753 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 6341223135753 - 217 = 6341223004681 is a prime.

It is a super-2 number, since 2×63412231357532 (a number of 26 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 6341223135699 and 6341223135708.

It is not an unprimeable number, because it can be changed into a prime (6348223135753) 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, 10675459528 + ... + 10675460121.

It is an arithmetic number, because the mean of its divisors is an integer number (640527589500).

Almost surely, 26341223135753 is an apocalyptic number.

It is an amenable number.

6341223135753 is a deficient number, since it is larger than the sum of its proper divisors (3907218296247).

6341223135753 is a wasteful number, since it uses less digits than its factorization.

6341223135753 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21350919669 (or 21350919663 counting only the distinct ones).

The product of its digits is 1360800, while the sum is 45.

The spelling of 6341223135753 in words is "six trillion, three hundred forty-one billion, two hundred twenty-three million, one hundred thirty-five thousand, seven hundred fifty-three".

Divisors: 1 3 9 11 27 33 99 297 21350919649 64052758947 192158276841 234860116139 576474830523 704580348417 2113741045251 6341223135753