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54664622646645 = 351119531033194153
BaseRepresentation
bin11000110110111100110010…
…11010100010010101110101
321011112212221112121121101110
430123132121122202111311
524131111121344143040
6312132325253145233
714341250210624004
oct1433363132422565
9234485845547343
1054664622646645
1116466155420140
12616a45362b219
132466b0c52235b
14d6dad3594c3b
1564be43e53980
hex31b7996a2575

54664622646645 has 128 divisors (see below), whose sum is σ = 103325004656640. Its totient is φ = 24396166379520.

The previous prime is 54664622646619. The next prime is 54664622646661.

It is a happy number.

54664622646645 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 54664622646645 - 26 = 54664622646581 is a prime.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 15516889 + ... + 18711041.

It is an arithmetic number, because the mean of its divisors is an integer number (807226598880).

Almost surely, 254664622646645 is an apocalyptic number.

54664622646645 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

54664622646645 is a deficient number, since it is larger than the sum of its proper divisors (48660382009995).

54664622646645 is a wasteful number, since it uses less digits than its factorization.

54664622646645 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3194347.

The product of its digits is 1194393600, while the sum is 66.

The spelling of 54664622646645 in words is "fifty-four trillion, six hundred sixty-four billion, six hundred twenty-two million, six hundred forty-six thousand, six hundred forty-five".

Divisors: 1 3 5 11 15 19 33 53 55 57 95 103 159 165 209 265 285 309 515 583 627 795 1007 1045 1133 1545 1749 1957 2915 3021 3135 3399 5035 5459 5665 5871 8745 9785 11077 15105 16377 16995 21527 27295 29355 33231 55385 60049 64581 81885 103721 107635 166155 180147 300245 311163 322905 518605 900735 1140931 1555815 3194153 3422793 5704655 9582459 15970765 17113965 35135683 47912295 60688907 105407049 169290109 175678415 182066721 303444535 328997759 507870327 527035245 667577977 846450545 910333605 986993277 1644988795 1862191199 2002733931 2539351635 3216512071 3337889885 3618975349 4934966385 5586573597 6250957421 9310955995 9649536213 10013669655 10856926047 16082560355 17436881227 18094876745 18752872263 27932867985 31254787105 35381632781 48247681065 52310643681 54284630235 68760531631 87184406135 93764361315 106144898343 176908163905 191805693497 206281594893 261553218405 331300743313 343802658155 530724491715 575417080491 959028467485 993902229939 1031407974465 1656503716565 2877085402455 3644308176443 4969511149695 10932924529329 18221540882215 54664622646645