Search a number
-
+
13654605042 = 2321358353013
BaseRepresentation
bin11001011011110000…
…01011110011110010
31022020121112210202200
430231320023303302
5210431034330132
610134533324030
7662242141101
oct145570136362
938217483680
1013654605042
115877739961
122790a96616
131397ba8a70
14937688038
1554db58d7c
hex32de0bcf2

13654605042 has 24 divisors (see below), whose sum is σ = 31860745644. Its totient is φ = 4201416864.

The previous prime is 13654605001. The next prime is 13654605047. The reversal of 13654605042 is 24050645631.

13654605042 is a `hidden beast` number, since 1 + 3 + 6 + 5 + 4 + 605 + 0 + 42 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 12047477121 + 1607127921 = 109761^2 + 40089^2 .

It is a junction number, because it is equal to n+sod(n) for n = 13654604988 and 13654605006.

It is not an unprimeable number, because it can be changed into a prime (13654605047) 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 11 ways as a sum of consecutive naturals, for example, 29176273 + ... + 29176740.

Almost surely, 213654605042 is an apocalyptic number.

13654605042 is an abundant number, since it is smaller than the sum of its proper divisors (18206140602).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13654605042 is a wasteful number, since it uses less digits than its factorization.

13654605042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58353034 (or 58353031 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 13654605042 in words is "thirteen billion, six hundred fifty-four million, six hundred five thousand, forty-two".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 234 58353013 116706026 175059039 350118078 525177117 758589169 1050354234 1517178338 2275767507 4551535014 6827302521 13654605042