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55005550005 = 3573731371069
BaseRepresentation
bin110011001110100101…
…100001010110110101
312020222102122110100210
4303032211201112311
51400122410100010
641134051500033
73655042314000
oct631645412665
9166872573323
1055005550005
112136722093a
12a7b12b7619
135257ac2833
14293b438537
15166e045b20
hexcce9615b5

55005550005 has 128 divisors (see below), whose sum is σ = 104897664000. Its totient is φ = 24596877312.

The previous prime is 55005550003. The next prime is 55005550063. The reversal of 55005550005 is 50005550055.

It is not a de Polignac number, because 55005550005 - 21 = 55005550003 is a prime.

It is a super-2 number, since 2×550055500052 (a number of 22 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55005550003) 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 127 ways as a sum of consecutive naturals, for example, 51454611 + ... + 51455679.

It is an arithmetic number, because the mean of its divisors is an integer number (819513000).

Almost surely, 255005550005 is an apocalyptic number.

It is an amenable number.

55005550005 is a deficient number, since it is larger than the sum of its proper divisors (49892113995).

55005550005 is a wasteful number, since it uses less digits than its factorization.

55005550005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1308 (or 1294 counting only the distinct ones).

The product of its (nonzero) digits is 15625, while the sum is 30.

It can be divided in two parts, 550055 and 50005, that added together give a triangular number (600060 = T1095).

The spelling of 55005550005 in words is "fifty-five billion, five million, five hundred fifty thousand, five".

Divisors: 1 3 5 7 15 21 35 49 73 105 137 147 219 245 343 365 411 511 685 735 959 1029 1069 1095 1533 1715 2055 2555 2877 3207 3577 4795 5145 5345 6713 7483 7665 10001 10731 14385 16035 17885 20139 22449 25039 30003 33565 37415 46991 50005 52381 53655 70007 75117 78037 100695 112245 125195 140973 146453 150015 157143 210021 234111 234955 261905 350035 366667 375585 390185 439359 490049 546259 704865 732265 785715 1025171 1050105 1100001 1170555 1470147 1638777 1833335 2196795 2450245 2731295 3075513 3430343 3823813 5125855 5500005 7176197 7350735 8193885 10291029 10691069 11471439 15377565 17151715 19119065 21528591 26766691 32073207 35880985 50233379 51455145 53455345 57357195 74837483 80300073 107642955 133833455 150700137 160366035 224512449 251166895 374187415 401500365 523862381 753500685 1122562245 1571587143 2619311905 3667036667 7857935715 11001110001 18335183335 55005550005