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15415648040 = 2351329645477
BaseRepresentation
bin11100101101101100…
…00001111100101000
31110210100021001121102
432112312001330220
5223032401214130
611025402500532
71054004563202
oct162666017450
943710231542
1015415648040
1165a08055a1
122ba2804748
1315b89a8c40
14a634dd772
15603569645
hex396d81f28

15415648040 has 32 divisors (see below), whose sum is σ = 37353302280. Its totient is φ = 5691931392.

The previous prime is 15415648021. The next prime is 15415648091. The reversal of 15415648040 is 4084651451.

15415648040 is digitally balanced in base 2, 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 4 ways, for example, as 4958131396 + 10457516644 = 70414^2 + 102262^2 .

It is a junction number, because it is equal to n+sod(n) for n = 15415647985 and 15415648003.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 14822219 + ... + 14823258.

Almost surely, 215415648040 is an apocalyptic number.

15415648040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

15415648040 is an abundant number, since it is smaller than the sum of its proper divisors (21937654240).

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

15415648040 is a wasteful number, since it uses less digits than its factorization.

15415648040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29645501 (or 29645497 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 38.

The spelling of 15415648040 in words is "fifteen billion, four hundred fifteen million, six hundred forty-eight thousand, forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 520 29645477 59290954 118581908 148227385 237163816 296454770 385391201 592909540 770782402 1185819080 1541564804 1926956005 3083129608 3853912010 7707824020 15415648040