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45350635342351 = 17311136299120899
BaseRepresentation
bin10100100111111000001001…
…00000101000101000001111
312221120110220202022001221211
422103330010200220220033
521421011100121423401
6240241443321035251
712360322010042203
oct1223740440505017
9187513822261854
1045350635342351
11134a51073a8aa9
125105310025b27
131c3c714a4b761
14b2ada7c3ab03
15539a1a141951
hex293f04828a0f

45350635342351 has 32 divisors (see below), whose sum is σ = 50014298880000. Its totient is φ = 40933702871040.

The previous prime is 45350635342291. The next prime is 45350635342387. The reversal of 45350635342351 is 15324353605354.

It is a cyclic number.

It is not a de Polignac number, because 45350635342351 - 223 = 45350626953743 is a prime.

It is a super-3 number, since 3×453506353423513 (a number of 42 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 45350635342295 and 45350635342304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45350635342151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 375051300 + ... + 375172198.

It is an arithmetic number, because the mean of its divisors is an integer number (1562946840000).

Almost surely, 245350635342351 is an apocalyptic number.

45350635342351 is a deficient number, since it is larger than the sum of its proper divisors (4663663537649).

45350635342351 is a wasteful number, since it uses less digits than its factorization.

45350635342351 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127359.

The product of its (nonzero) digits is 9720000, while the sum is 49.

The spelling of 45350635342351 in words is "forty-five trillion, three hundred fifty billion, six hundred thirty-five million, three hundred forty-two thousand, three hundred fifty-one".

Divisors: 1 17 31 113 527 1921 3503 6299 59551 107083 120899 195269 711787 2055283 3319573 3747869 12100379 13661587 22065397 63713773 232246979 375111749 423509197 761542801 7199656349 12946227617 23607826831 86054336513 401333056127 1462923720721 2667684431903 45350635342351