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64540455404546 = 21121710121537889
BaseRepresentation
bin11101010110010111111101…
…11010110000010000000010
322110112000012022021102020102
432223023332322300100002
531424412323040421141
6345133250443242402
716410615436201112
oct1653137672602002
9273460168242212
1064540455404546
11196234a9567400
1272a4457b19402
132a021a6016b94
1411d1abbb31042
1576dca313299b
hex3ab2feeb0402

64540455404546 has 72 divisors (see below), whose sum is σ = 113797932971940. Its totient is φ = 27337497088000.

The previous prime is 64540455404543. The next prime is 64540455404617.

64540455404546 is nontrivially palindromic in base 10.

64540455404546 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 57867042347521 + 6673413057025 = 7607039^2 + 2583295^2 .

It is a super-2 number, since 2×645404554045462 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 64540455404491 and 64540455404500.

It is not an unprimeable number, because it can be changed into a prime (64540455404543) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 41197970 + ... + 42735858.

Almost surely, 264540455404546 is an apocalyptic number.

64540455404546 is a deficient number, since it is larger than the sum of its proper divisors (49257477567394).

64540455404546 is a wasteful number, since it uses less digits than its factorization.

64540455404546 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1538132 (or 1538020 counting only the distinct ones).

The product of its (nonzero) digits is 92160000, while the sum is 56.

The spelling of 64540455404546 in words is "sixty-four trillion, five hundred forty billion, four hundred fifty-five million, four hundred four thousand, five hundred forty-six".

Divisors: 1 2 11 17 22 34 101 121 187 202 242 374 1111 1717 2057 2222 3434 4114 10201 12221 18887 20402 24442 37774 112211 173417 207757 224422 346834 415514 1234321 1537889 1907587 2468642 3075778 3815174 16916779 20983457 26144113 33833558 41966914 52288226 155326789 186084569 287585243 310653578 372169138 575170486 1708594679 2640555413 3163437673 3417189358 5281110826 6326875346 15688005689 18794541469 29046109543 31376011378 37589082938 58092219086 172568062579 266696096713 319507204973 345136125158 533392193426 639014409946 1898248688369 2933657063843 3796497376738 5867314127686 32270227702273 64540455404546