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38730928705965 = 3257331873369913
BaseRepresentation
bin10001100111001101111110…
…01111110101000110101101
312002010122022000101121112200
420303212333033311012231
520034031420222042330
6214212424254052113
711105134343035416
oct1063467717650655
9162118260347480
1038730928705965
11113827705a5501
1244163917aa039
13187c40709ca92
1497c83084880d
1547273121ca60
hex2339bf3f51ad

38730928705965 has 48 divisors (see below), whose sum is σ = 68055567361392. Its totient is φ = 20372835336192.

The previous prime is 38730928705927. The next prime is 38730928705969. The reversal of 38730928705965 is 56950782903783.

It is a happy number.

38730928705965 is a `hidden beast` number, since 3 + 8 + 7 + 3 + 0 + 9 + 28 + 7 + 0 + 596 + 5 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 6805931357124 + 31924997348841 = 2608818^2 + 5650221^2 .

It is not a de Polignac number, because 38730928705965 - 222 = 38730924511661 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 38730928705893 and 38730928705902.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38730928705969) 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, 104517849 + ... + 104887761.

It is an arithmetic number, because the mean of its divisors is an integer number (1417824320029).

Almost surely, 238730928705965 is an apocalyptic number.

It is an amenable number.

38730928705965 is a deficient number, since it is larger than the sum of its proper divisors (29324638655427).

38730928705965 is a wasteful number, since it uses less digits than its factorization.

38730928705965 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 401870 (or 401867 counting only the distinct ones).

The product of its (nonzero) digits is 685843200, while the sum is 72.

The spelling of 38730928705965 in words is "thirty-eight trillion, seven hundred thirty billion, nine hundred twenty-eight million, seven hundred five thousand, nine hundred sixty-five".

Divisors: 1 3 5 9 15 45 73 219 365 657 1095 3285 31873 95619 159365 286857 369913 478095 1109739 1434285 1849565 2326729 3329217 5548695 6980187 11633645 16646085 20940561 27003649 34900935 81010947 104702805 135018245 243032841 405054735 1215164205 11790237049 35370711147 58951185245 106112133441 176853555735 530560667205 860687304577 2582061913731 4303436522885 7746185741193 12910309568655 38730928705965