Search a number
-
+
6401828233449 = 3311209811027357
BaseRepresentation
bin101110100101000101010…
…1100101010000011101001
3211200000020102020210201000
41131022022230222003221
51314341421011432244
621340543112345213
71230342162066645
oct135121254520351
924600212223630
106401828233449
112049000162690
128748733a5209
133758c769507c
14181bc8ad7c25
15b17d6115169
hex5d28ab2a0e9

6401828233449 has 32 divisors (see below), whose sum is σ = 10346892266880. Its totient is φ = 3879707198400.

The previous prime is 6401828233439. The next prime is 6401828233543. The reversal of 6401828233449 is 9443328281046.

It is a happy number.

6401828233449 is a `hidden beast` number, since 6 + 4 + 0 + 18 + 282 + 3 + 344 + 9 = 666.

It is not a de Polignac number, because 6401828233449 - 29 = 6401828232937 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 6401828233395 and 6401828233404.

It is not an unprimeable number, because it can be changed into a prime (6401828233439) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5717679 + ... + 6745035.

It is an arithmetic number, because the mean of its divisors is an integer number (323340383340).

Almost surely, 26401828233449 is an apocalyptic number.

It is an amenable number.

6401828233449 is a deficient number, since it is larger than the sum of its proper divisors (3945064033431).

6401828233449 is a wasteful number, since it uses less digits than its factorization.

6401828233449 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1048358 (or 1048352 counting only the distinct ones).

The product of its (nonzero) digits is 7962624, while the sum is 54.

The spelling of 6401828233449 in words is "six trillion, four hundred one billion, eight hundred twenty-eight million, two hundred thirty-three thousand, four hundred forty-nine".

Divisors: 1 3 9 11 27 33 99 297 20981 62943 188829 230791 566487 692373 1027357 2077119 3082071 6231357 9246213 11300927 27738639 33902781 101708343 305125029 21554977217 64664931651 193994794953 237104749387 581984384859 711314248161 2133942744483 6401828233449