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45428099761 = 11219712111319
BaseRepresentation
bin101010010011101110…
…011100101010110001
311100020221222120112101
4222103232130222301
51221014043143021
632511441500401
73165515322352
oct522356345261
9140227876471
1045428099761
11182a1a83800
128979941701
13438c810805
1422ad469d29
1512ad302a91
hexa93b9cab1

45428099761 has 48 divisors (see below), whose sum is σ = 53594956800. Its totient is φ = 38361708000.

The previous prime is 45428099747. The next prime is 45428099777. The reversal of 45428099761 is 16799082454.

It is not a de Polignac number, because 45428099761 - 235 = 11068361393 is a prime.

It is not an unprimeable number, because it can be changed into a prime (45428099741) 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 47 ways as a sum of consecutive naturals, for example, 34440660 + ... + 34441978.

It is an arithmetic number, because the mean of its divisors is an integer number (1116561600).

Almost surely, 245428099761 is an apocalyptic number.

It is an amenable number.

45428099761 is a deficient number, since it is larger than the sum of its proper divisors (8166857039).

45428099761 is a wasteful number, since it uses less digits than its factorization.

45428099761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1642 (or 1631 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 55.

The spelling of 45428099761 in words is "forty-five billion, four hundred twenty-eight million, ninety-nine thousand, seven hundred sixty-one".

Divisors: 1 11 19 71 121 209 211 781 1319 1349 2299 2321 4009 8591 14509 14839 14981 25061 25531 44099 93649 159599 163229 164791 275671 278309 284639 485089 1030139 1779331 1812701 3032381 3061399 3131029 5287871 11331529 19572641 19759939 33675389 34441319 58166581 215299051 217359329 375438841 639832391 2390952619 4129827251 45428099761