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77834010641345 = 573583762053991
BaseRepresentation
bin10001101100101000100100…
…100011100100001111000001
3101012120212012000202002011122
4101230220210203210033001
540200213023211010340
6433312241215322025
722252215225261110
oct2154504443441701
9335525160662148
1077834010641345
1122889244973412
128890904820315
13345793c54cc3a
141531286d91c77
158ee994288db5
hex46ca248e43c1

77834010641345 has 16 divisors (see below), whose sum is σ = 106746766334208. Its totient is φ = 53370402855360.

The previous prime is 77834010641263. The next prime is 77834010641363. The reversal of 77834010641345 is 54314601043877.

It is a happy number.

It is not a de Polignac number, because 77834010641345 - 212 = 77834010637249 is a prime.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 29772701 + ... + 32281290.

It is an arithmetic number, because the mean of its divisors is an integer number (6671672895888).

Almost surely, 277834010641345 is an apocalyptic number.

It is an amenable number.

77834010641345 is a deficient number, since it is larger than the sum of its proper divisors (28912755692863).

77834010641345 is a wasteful number, since it uses less digits than its factorization.

77834010641345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62089840.

The product of its (nonzero) digits is 6773760, while the sum is 53.

The spelling of 77834010641345 in words is "seventy-seven trillion, eight hundred thirty-four billion, ten million, six hundred forty-one thousand, three hundred forty-five".

Divisors: 1 5 7 35 35837 179185 250859 1254295 62053991 310269955 434377937 2171889685 2223828875467 11119144377335 15566802128269 77834010641345