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1353109696 = 2617472563
BaseRepresentation
bin101000010100110…
…1101000011000000
310111022010002112221
41100221231003000
510232344002241
6342133500424
745350146141
oct12051550300
93438102487
101353109696
11634882384
123191a1714
13187441933
14cb9c7ac8
157dbd15d1
hex50a6d0c0

1353109696 has 84 divisors (see below), whose sum is σ = 2909959128. Its totient is φ = 622102528.

The previous prime is 1353109691. The next prime is 1353109699. The reversal of 1353109696 is 6969013531.

It is not an unprimeable number, because it can be changed into a prime (1353109691) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2403111 + ... + 2403673.

Almost surely, 21353109696 is an apocalyptic number.

1353109696 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1353109696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1454979564).

1353109696 is an abundant number, since it is smaller than the sum of its proper divisors (1556849432).

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

1353109696 is an equidigital number, since it uses as much as digits as its factorization.

1353109696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 686 (or 629 counting only the distinct ones).

The product of its (nonzero) digits is 131220, while the sum is 43.

The square root of 1353109696 is about 36784.6394028812. The cubic root of 1353109696 is about 1106.0574075825.

The spelling of 1353109696 in words is "one billion, three hundred fifty-three million, one hundred nine thousand, six hundred ninety-six".

Divisors: 1 2 4 8 16 17 32 34 47 64 68 94 136 188 272 376 544 563 752 799 1088 1126 1504 1598 2209 2252 3008 3196 4418 4504 6392 8836 9008 9571 12784 17672 18016 19142 25568 26461 35344 36032 37553 38284 51136 52922 70688 75106 76568 105844 141376 150212 153136 211688 300424 306272 423376 449837 600848 612544 846752 899674 1201696 1243667 1693504 1799348 2403392 2487334 3598696 4974668 7197392 9949336 14394784 19898672 21142339 28789568 39797344 42284678 79594688 84569356 169138712 338277424 676554848 1353109696