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55006314624 = 273437223643
BaseRepresentation
bin110011001110101000…
…011100000010000000
312020222111002022020000
4303032220130002000
51400123104031444
641134120120000
73655051650132
oct631650340200
9166874068200
1055006314624
11213676a3358
12a7b1606000
135257ccc881
14293b597052
15166e147469
hexccea1c080

55006314624 has 320 divisors, whose sum is σ = 169138717440. Its totient is φ = 17732265984.

The previous prime is 55006314611. The next prime is 55006314637. The reversal of 55006314624 is 42641360055.

55006314624 is a `hidden beast` number, since 5 + 500 + 6 + 3 + 146 + 2 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (55006314611) and next prime (55006314637).

It is a super-2 number, since 2×550063146242 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 85546047 + ... + 85546689.

It is an arithmetic number, because the mean of its divisors is an integer number (528558492).

Almost surely, 255006314624 is an apocalyptic number.

55006314624 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55006314624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84569358720).

55006314624 is an abundant number, since it is smaller than the sum of its proper divisors (114132402816).

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

55006314624 is a wasteful number, since it uses less digits than its factorization.

55006314624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 929 (or 908 counting only the distinct ones).

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

Adding to 55006314624 its reverse (42641360055), we get a palindrome (97647674679).

The spelling of 55006314624 in words is "fifty-five billion, six million, three hundred fourteen thousand, six hundred twenty-four".