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46646223120445 = 513371092696531013
BaseRepresentation
bin10101001101100101010111…
…00011110010100000111101
320010011100001111021102120211
422212302223203302200331
522103222431104323240
6243112551251312421
712553035615333064
oct1246625343624075
9203140044242524
1046646223120445
1113954608983603
1252944258ab711
1320049489c3bb0
14b739914091db
1555d596a16bea
hex2a6cab8f283d

46646223120445 has 128 divisors (see below), whose sum is σ = 62868780374400. Its totient is φ = 33001250439168.

The previous prime is 46646223120437. The next prime is 46646223120461. The reversal of 46646223120445 is 54402132264664.

It is a happy number.

It can be written as a sum of positive squares in 64 ways, for example, as 42051450814681 + 4594772305764 = 6484709^2 + 2143542^2 .

It is a cyclic number.

It is not a de Polignac number, because 46646223120445 - 23 = 46646223120437 is a prime.

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, 46047603759 + ... + 46047604771.

It is an arithmetic number, because the mean of its divisors is an integer number (491162346675).

Almost surely, 246646223120445 is an apocalyptic number.

It is an amenable number.

46646223120445 is a deficient number, since it is larger than the sum of its proper divisors (16222557253955).

46646223120445 is a wasteful number, since it uses less digits than its factorization.

46646223120445 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2099.

The product of its (nonzero) digits is 6635520, while the sum is 49.

The spelling of 46646223120445 in words is "forty-six trillion, six hundred forty-six billion, two hundred twenty-three million, one hundred twenty thousand, four hundred forty-five".

Divisors: 1 5 13 37 65 109 185 269 481 545 653 1013 1345 1417 2405 3265 3497 4033 5065 7085 8489 9953 13169 17485 20165 24161 29321 37481 42445 49765 52429 65845 71177 110417 120805 129389 146605 175657 187405 262145 272497 314093 355885 381173 487253 552085 646945 661489 878285 925301 1084877 1362485 1435421 1570465 1905865 2283541 2436265 2633549 3307445 3542461 4085429 4626505 5424385 6499309 7177105 8599357 10082389 11417705 13167745 14103401 17712305 19146613 20427145 24475093 29702173 32496545 34236137 42996785 50411945 53110577 70517005 72102301 84491017 95733065 122375465 131071057 148510865 171180685 177940541 248905969 265552885 318176209 360511505 386128249 422455085 655355285 708424681 889702705 937329913 1098980401 1244529845 1590881045 1930641245 2313227033 2667785137 3542123405 4686649565 5494902005 6583800017 9209520853 11566135165 13338925685 14286745213 19395518969 32919000085 34681206781 46047604265 71433726065 85589400221 96977594845 173406033905 252141746597 427947001105 717634201853 1260708732985 3588171009265 9329244624089 46646223120445