Search a number
-
+
54612006012 = 22322365956529
BaseRepresentation
bin110010110111001000…
…010001010001111100
312012222000010100111100
4302313020101101330
51343321133143022
641031032453100
73642223251264
oct626710212174
9165860110440
1054612006012
1121185065473
12a70154a190
1351c4401975
1429010747a4
15164970a1ac
hexcb721147c

54612006012 has 36 divisors (see below), whose sum is σ = 144049061520. Its totient is φ = 17412523392.

The previous prime is 54612005977. The next prime is 54612006017. The reversal of 54612006012 is 21060021645.

54612006012 is a `hidden beast` number, since 5 + 46 + 12 + 0 + 0 + 601 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54612006017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 32977437 + ... + 32979092.

It is an arithmetic number, because the mean of its divisors is an integer number (4001362820).

Almost surely, 254612006012 is an apocalyptic number.

It is an amenable number.

54612006012 is an abundant number, since it is smaller than the sum of its proper divisors (89437055508).

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

54612006012 is a wasteful number, since it uses less digits than its factorization.

54612006012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65956562 (or 65956557 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 54612006012 its reverse (21060021645), we get a palindrome (75672027657).

The spelling of 54612006012 in words is "fifty-four billion, six hundred twelve million, six thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 69 92 138 207 276 414 828 65956529 131913058 197869587 263826116 395739174 593608761 791478348 1187217522 1517000167 2374435044 3034000334 4551000501 6068000668 9102001002 13653001503 18204002004 27306003006 54612006012