Search a number
-
+
463454106453 = 321325115781459
BaseRepresentation
bin1101011111010000000…
…01000111001101010101
31122022020220122222000200
412233220001013031111
530043123222401303
6552524033531113
745324552622632
oct6575001071525
91568226588020
10463454106453
11169605840798
12759a1a13a99
133491b8868b0
14186076a9189
15c0c74e03a3
hex6be8047355

463454106453 has 24 divisors (see below), whose sum is σ = 723800881440. Its totient is φ = 284066244000.

The previous prime is 463454106449. The next prime is 463454106487. The reversal of 463454106453 is 354601454364.

463454106453 is a `hidden beast` number, since 4 + 63 + 4 + 541 + 0 + 6 + 45 + 3 = 666.

It is not a de Polignac number, because 463454106453 - 22 = 463454106449 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 463454106399 and 463454106408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (463454106433) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7861363 + ... + 7920096.

It is an arithmetic number, because the mean of its divisors is an integer number (30158370060).

Almost surely, 2463454106453 is an apocalyptic number.

It is an amenable number.

463454106453 is a deficient number, since it is larger than the sum of its proper divisors (260346774987).

463454106453 is a wasteful number, since it uses less digits than its factorization.

463454106453 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15781729 (or 15781726 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 45.

The spelling of 463454106453 in words is "four hundred sixty-three billion, four hundred fifty-four million, one hundred six thousand, four hundred fifty-three".

Divisors: 1 3 9 13 39 117 251 753 2259 3263 9789 29367 15781459 47344377 142033131 205158967 615476901 1846430703 3961146209 11883438627 35650315881 51494900717 154484702151 463454106453