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15400966820 = 2251017624241
BaseRepresentation
bin11100101011111100…
…00001101010100100
31110202022122011202112
432111332001222210
5223020121414240
611024120100152
71053436025621
oct162576015244
943668564675
1015400966820
116593498358
122b99904658
1315b5938725
14a6159b348
15602119665
hex395f81aa4

15400966820 has 24 divisors (see below), whose sum is σ = 32662252728. Its totient is φ = 6099392000.

The previous prime is 15400966793. The next prime is 15400966829. The reversal of 15400966820 is 2866900451.

It is a happy number.

15400966820 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 7173751204 + 8227215616 = 84698^2 + 90704^2 .

It is not an unprimeable number, because it can be changed into a prime (15400966829) 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 7 ways as a sum of consecutive naturals, for example, 3810101 + ... + 3814140.

It is an arithmetic number, because the mean of its divisors is an integer number (1360927197).

Almost surely, 215400966820 is an apocalyptic number.

15400966820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

15400966820 is an abundant number, since it is smaller than the sum of its proper divisors (17261285908).

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

15400966820 is a wasteful number, since it uses less digits than its factorization.

15400966820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7624351 (or 7624349 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 41.

The spelling of 15400966820 in words is "fifteen billion, four hundred million, nine hundred sixty-six thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 20 101 202 404 505 1010 2020 7624241 15248482 30496964 38121205 76242410 152484820 770048341 1540096682 3080193364 3850241705 7700483410 15400966820