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416080420077 = 3743242125453
BaseRepresentation
bin1100000111000000101…
…00110101110011101101
31110202222100201100101210
412003200110311303231
523304113041420302
6515051131225033
742026601134130
oct6034024656355
91422870640353
10416080420077
11150505605a73
12687805a8179
133030bc70bca
14161d1aaa217
15ac534c766c
hex60e0535ced

416080420077 has 48 divisors (see below), whose sum is σ = 650682434688. Its totient is φ = 231670212480.

The previous prime is 416080420069. The next prime is 416080420079. The reversal of 416080420077 is 770024080614.

It is not a de Polignac number, because 416080420077 - 23 = 416080420069 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (416080420079) 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, 16334283 + ... + 16359735.

It is an arithmetic number, because the mean of its divisors is an integer number (13555884056).

Almost surely, 2416080420077 is an apocalyptic number.

It is an amenable number.

416080420077 is a deficient number, since it is larger than the sum of its proper divisors (234602014611).

416080420077 is a wasteful number, since it uses less digits than its factorization.

416080420077 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25970 (or 25927 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 39.

The spelling of 416080420077 in words is "four hundred sixteen billion, eighty million, four hundred twenty thousand, seventy-seven".

Divisors: 1 3 7 21 43 129 301 421 903 1263 1849 2947 5547 8841 12943 18103 25453 38829 54309 76359 126721 178171 380163 534513 778429 1094479 2335287 3283437 5449003 7661353 10715713 16347009 22984059 32147139 47062597 75009991 141187791 225029973 329438179 460775659 988314537 1382326977 3225429613 9676288839 19813353337 59440060011 138693473359 416080420077