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5410904013 = 32292371392
BaseRepresentation
bin1010000101000001…
…11101011111001101
3111222002120101220100
411002200331133031
542040142412023
62252530241313
7251041632234
oct50240753715
914862511810
105410904013
1123273502a9
121070126239
1368301a368
143948a3b1b
1521a070c43
hex14283d7cd

5410904013 has 54 divisors (see below), whose sum is σ = 8373562314. Its totient is φ = 3364369344.

The previous prime is 5410904003. The next prime is 5410904017. The reversal of 5410904013 is 3104090145.

5410904013 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 1953816804 + 3457087209 = 44202^2 + 58797^2 .

It is not a de Polignac number, because 5410904013 - 212 = 5410899917 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5410904017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 38927298 + ... + 38927436.

Almost surely, 25410904013 is an apocalyptic number.

It is an amenable number.

5410904013 is a deficient number, since it is larger than the sum of its proper divisors (2962658301).

5410904013 is a wasteful number, since it uses less digits than its factorization.

5410904013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 379 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 5410904013 is about 73558.8472788964. The cubic root of 5410904013 is about 1755.5907203750.

Adding to 5410904013 its reverse (3104090145), we get a palindrome (8514994158).

The spelling of 5410904013 in words is "five billion, four hundred ten million, nine hundred four thousand, thirteen".

Divisors: 1 3 9 29 37 87 111 139 261 333 417 841 1073 1251 2523 3219 4031 5143 7569 9657 12093 15429 19321 31117 36279 46287 57963 93351 116899 149147 173889 280053 350697 447441 560309 714877 1052091 1342323 1680927 2144631 4325263 5042781 6433893 12975789 16248961 20731433 38927367 48746883 62194299 146240649 186582897 601211557 1803634671 5410904013