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55332211005 = 32597157263307
BaseRepresentation
bin110011100010000011…
…101000100100111101
312021211012022120000100
4303202003220210331
51401310021223010
641230321151313
73666120014301
oct634203504475
9167735276010
1055332211005
1121514655105
12a88278b539
1352aa696876
14296c98bd01
15168ca6e2c0
hexce20e893d

55332211005 has 96 divisors (see below), whose sum is σ = 98204730624. Its totient is φ = 28815740928.

The previous prime is 55332211003. The next prime is 55332211009. The reversal of 55332211005 is 50011223355.

It is a happy number.

55332211005 is a `hidden beast` number, since 5 + 533 + 2 + 21 + 100 + 5 = 666.

It is not a de Polignac number, because 55332211005 - 21 = 55332211003 is a prime.

It is a super-2 number, since 2×553322110052 (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 55332211005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55332211003) 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 95 ways as a sum of consecutive naturals, for example, 180235062 + ... + 180235368.

It is an arithmetic number, because the mean of its divisors is an integer number (1022965944).

Almost surely, 255332211005 is an apocalyptic number.

It is an amenable number.

55332211005 is a deficient number, since it is larger than the sum of its proper divisors (42872519619).

55332211005 is a wasteful number, since it uses less digits than its factorization.

55332211005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 835 (or 832 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 27.

The spelling of 55332211005 in words is "fifty-five billion, three hundred thirty-two million, two hundred eleven thousand, five".

Divisors: 1 3 5 9 15 45 97 157 263 291 307 471 485 785 789 873 921 1315 1413 1455 1535 2355 2367 2763 3945 4365 4605 7065 11835 13815 15229 25511 29779 41291 45687 48199 76145 76533 80741 89337 123873 127555 137061 144597 148895 206455 228435 229599 240995 242223 268011 371619 382665 403705 433791 446685 619365 685305 722985 726669 1147995 1211115 1340055 1858095 2168955 3633345 4005227 4675303 7831877 12015681 12676337 14025909 20026135 23376515 23495631 36047043 38029011 39159385 42077727 60078405 63381685 70129545 70486893 114087033 117478155 180235215 190145055 210388635 352434465 570435165 1229604689 3688814067 6148023445 11066442201 18444070335 55332211005