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77910413413 = 72371371811733
BaseRepresentation
bin100100010001111010…
…0101001000001100101
321110002201012002002011
41020203310221001211
52234030031212123
655442550314221
75425456405300
oct1104364510145
9243081162064
1077910413413
1130050440818
1213124058971
137468251a51
143ab143db37
15205ed11e0d
hex1223d29065

77910413413 has 48 divisors (see below), whose sum is σ = 94331777904. Its totient is φ = 64107832320.

The previous prime is 77910413411. The next prime is 77910413429. The reversal of 77910413413 is 31431401977.

It can be written as a sum of positive squares in 8 ways, for example, as 724794084 + 77185619329 = 26922^2 + 277823^2 .

It is not a de Polignac number, because 77910413413 - 21 = 77910413411 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77910413411) 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, 44956095 + ... + 44957827.

It is an arithmetic number, because the mean of its divisors is an integer number (1965245373).

Almost surely, 277910413413 is an apocalyptic number.

It is an amenable number.

77910413413 is a deficient number, since it is larger than the sum of its proper divisors (16421364491).

77910413413 is a wasteful number, since it uses less digits than its factorization.

77910413413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2102 (or 2095 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 40.

The spelling of 77910413413 in words is "seventy-seven billion, nine hundred ten million, four hundred thirteen thousand, four hundred thirteen".

Divisors: 1 7 37 49 137 181 259 959 1267 1733 1813 5069 6697 6713 8869 12131 24797 35483 46879 64121 84917 173579 237421 248381 313673 328153 448847 917489 1215053 1661947 2195711 3141929 6422423 8784577 11605901 11633629 15369977 42973201 44956961 61492039 81241307 300812407 430444273 568689149 1590008437 2105686849 11130059059 77910413413