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82775918407 = 7131723179929
BaseRepresentation
bin100110100010111010…
…1000100011101000111
321220122210111100011211
41031011311010131013
52324011113342112
6102005435112251
75660156461120
oct1150565043507
9256583440154
1082775918407
1132117936726
12140615a2687
137a6227cba0
1440136d1047
15224704d0a7
hex1345d44747

82775918407 has 48 divisors (see below), whose sum is σ = 108575732160. Its totient is φ = 61439864832.

The previous prime is 82775918387. The next prime is 82775918447. The reversal of 82775918407 is 70481957728.

It is a de Polignac number, because none of the positive numbers 2k-82775918407 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82775918447) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8331819 + ... + 8341747.

It is an arithmetic number, because the mean of its divisors is an integer number (2261994420).

Almost surely, 282775918407 is an apocalyptic number.

82775918407 is a deficient number, since it is larger than the sum of its proper divisors (25799813753).

82775918407 is a wasteful number, since it uses less digits than its factorization.

82775918407 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10300 (or 10283 counting only the distinct ones).

The product of its (nonzero) digits is 7902720, while the sum is 58.

The spelling of 82775918407 in words is "eighty-two billion, seven hundred seventy-five million, nine hundred eighteen thousand, four hundred seven".

Divisors: 1 7 13 17 91 119 221 289 317 1547 2023 2219 3757 4121 5389 9929 26299 28847 37723 69503 70057 91613 129077 168793 490399 641291 903539 1181551 1190969 2194309 2869481 3147493 8336783 15360163 20086367 22032451 37303253 40917409 53507381 261122771 286421863 374551667 695595953 909625477 4869171671 6367378339 11825131201 82775918407