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78248638404 = 22326135632349
BaseRepresentation
bin100100011011111111…
…0110111011111000100
321110222021121200112200
41020313332313133010
52240223122412104
655540311514500
75440034311056
oct1106776673704
9243867550480
1078248638404
1130204353202
12131b9388a30
1374c0344491
143b043238d6
15207e871b39
hex1237fb77c4

78248638404 has 36 divisors (see below), whose sum is σ = 201037718700. Its totient is φ = 25655290560.

The previous prime is 78248638393. The next prime is 78248638439. The reversal of 78248638404 is 40483684287.

It is a happy number.

78248638404 is a `hidden beast` number, since 7 + 82 + 486 + 3 + 84 + 0 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 23394314304 + 54854324100 = 152952^2 + 234210^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×782486384042 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17813979 + ... + 17818370.

It is an arithmetic number, because the mean of its divisors is an integer number (5584381075).

Almost surely, 278248638404 is an apocalyptic number.

It is an amenable number.

78248638404 is an abundant number, since it is smaller than the sum of its proper divisors (122789080296).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

78248638404 is a wasteful number, since it uses less digits than its factorization.

78248638404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35632420 (or 35632415 counting only the distinct ones).

The product of its (nonzero) digits is 8257536, while the sum is 54.

The spelling of 78248638404 in words is "seventy-eight billion, two hundred forty-eight million, six hundred thirty-eight thousand, four hundred four".

Divisors: 1 2 3 4 6 9 12 18 36 61 122 183 244 366 549 732 1098 2196 35632349 71264698 106897047 142529396 213794094 320691141 427588188 641382282 1282764564 2173573289 4347146578 6520719867 8694293156 13041439734 19562159601 26082879468 39124319202 78248638404