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55005550006 = 211101163151871
BaseRepresentation
bin110011001110100101…
…100001010110110110
312020222102122110100211
4303032211201112312
51400122410100011
641134051500034
73655042314001
oct631645412666
9166872573324
1055005550006
1121367220940
12a7b12b761a
135257ac2834
14293b438538
15166e045b21
hexcce9615b6

55005550006 has 32 divisors (see below), whose sum is σ = 91458533376. Its totient is φ = 24602940000.

The previous prime is 55005550003. The next prime is 55005550063. The reversal of 55005550006 is 60005550055.

It is a super-3 number, since 3×550055500063 (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 55005550006.

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 15 ways as a sum of consecutive naturals, for example, 286251 + ... + 438121.

It is an arithmetic number, because the mean of its divisors is an integer number (2858079168).

Almost surely, 255005550006 is an apocalyptic number.

55005550006 is a deficient number, since it is larger than the sum of its proper divisors (36452983370).

55005550006 is a wasteful number, since it uses less digits than its factorization.

55005550006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152148.

The product of its (nonzero) digits is 18750, while the sum is 31.

The spelling of 55005550006 in words is "fifty-five billion, five million, five hundred fifty thousand, six".

Divisors: 1 2 11 22 101 163 202 326 1111 1793 2222 3586 16463 32926 151871 181093 303742 362186 1670581 3341162 15338971 24754973 30677942 49509946 168728681 272304703 337457362 544609406 2500252273 5000504546 27502775003 55005550006