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54664446645 = 335171011132087
BaseRepresentation
bin110010111010010000…
…010100001010110101
312020002122210121112000
4302322100110022311
51343423044243040
641040144445513
73643431062364
oct627220241265
9166078717460
1054664446645
1121201722936
12a717019899
135202232c23
1429080057db
15164e118130
hexcba4142b5

54664446645 has 128 divisors (see below), whose sum is σ = 104886420480. Its totient is φ = 26914406400.

The previous prime is 54664446637. The next prime is 54664446671.

54664446645 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 54664446645 - 23 = 54664446637 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 54664446591 and 54664446600.

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, 26191792 + ... + 26193878.

It is an arithmetic number, because the mean of its divisors is an integer number (819425160).

Almost surely, 254664446645 is an apocalyptic number.

It is an amenable number.

54664446645 is a deficient number, since it is larger than the sum of its proper divisors (50221973835).

54664446645 is a wasteful number, since it uses less digits than its factorization.

54664446645 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2332 (or 2326 counting only the distinct ones).

The product of its digits is 33177600, while the sum is 54.

The spelling of 54664446645 in words is "fifty-four billion, six hundred sixty-four million, four hundred forty-six thousand, six hundred forty-five".

Divisors: 1 3 5 9 15 17 27 45 51 85 101 113 135 153 255 303 339 459 505 565 765 909 1017 1515 1695 1717 1921 2087 2295 2727 3051 4545 5085 5151 5763 6261 8585 9605 10435 11413 13635 15255 15453 17289 18783 25755 28815 31305 34239 35479 46359 51867 56349 57065 77265 86445 93915 102717 106437 171195 177395 194021 210787 231795 235831 259335 281745 308151 319311 513585 532185 582063 632361 707493 957933 970105 1053935 1179155 1540755 1596555 1746189 1897083 2122479 2910315 3161805 3537465 3583379 4009127 4789665 5238567 5691249 6367437 8730945 9485415 10612395 10750137 12027381 17916895 20045635 23818931 26192835 28456245 31837185 32250411 36082143 53750685 60136905 71456793 96751233 108246429 119094655 161252055 180410715 214370379 357283965 404921827 483756165 541232145 643111137 1071851895 1214765481 2024609135 3215555685 3644296443 6073827405 10932889329 18221482215 54664446645