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103678359049845 = 32529169746816157
BaseRepresentation
bin10111100100101101111111…
…110000110001011001110101
3111121002112222002211000210100
4113210231333300301121311
5102042131234404043340
61004301103002544313
730560341250162616
oct2744557760613165
9447075862730710
10103678359049845
1130042821881378
12b765688808099
1345b0a9a795218
141b860b8c13c0d
15bebda3262830
hex5e4b7fc31675

103678359049845 has 48 divisors (see below), whose sum is σ = 186015576904560. Its totient is φ = 53356934787072.

The previous prime is 103678359049819. The next prime is 103678359049849. The reversal of 103678359049845 is 548940953876301.

103678359049845 is a `hidden beast` number, since 1 + 0 + 3 + 6 + 7 + 8 + 3 + 5 + 90 + 498 + 45 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 24759690279921 + 78918668769924 = 4975911^2 + 8883618^2 .

It is not a de Polignac number, because 103678359049845 - 25 = 103678359049813 is a prime.

It is a super-2 number, since 2×1036783590498452 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103678359049849) 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, 21193494 + ... + 25622663.

It is an arithmetic number, because the mean of its divisors is an integer number (3875324518845).

Almost surely, 2103678359049845 is an apocalyptic number.

103678359049845 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

103678359049845 is a deficient number, since it is larger than the sum of its proper divisors (82337217854715).

103678359049845 is a wasteful number, since it uses less digits than its factorization.

103678359049845 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46817894 (or 46817891 counting only the distinct ones).

The product of its (nonzero) digits is 783820800, while the sum is 72.

The spelling of 103678359049845 in words is "one hundred three trillion, six hundred seventy-eight billion, three hundred fifty-nine million, forty-nine thousand, eight hundred forty-five".

Divisors: 1 3 5 9 15 29 45 87 145 261 435 1305 1697 5091 8485 15273 25455 49213 76365 147639 246065 442917 738195 2214585 46816157 140448471 234080785 421345413 702242355 1357668553 2106727065 4073005659 6788342765 12219016977 20365028295 61095084885 79447018429 238341055287 397235092145 715023165861 1191705276435 2303963534441 3575115829305 6911890603323 11519817672205 20735671809969 34559453016615 103678359049845