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14738833936 = 243128771093
BaseRepresentation
bin11011011101000000…
…01100001000010000
31102001011201100012101
431232200030020100
5220141120141221
610434304210144
71031146010221
oct155640141020
942034640171
1014738833936
1162837620a2
122a34009954
13150b6c7118
149db67d248
155b3e26d91
hex36e80c210

14738833936 has 60 divisors (see below), whose sum is σ = 29568056556. Its totient is φ = 7117044480.

The previous prime is 14738833909. The next prime is 14738833943. The reversal of 14738833936 is 63933883741.

It can be written as a sum of positive squares in 2 ways, for example, as 13731152400 + 1007681536 = 117180^2 + 31744^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13484206 + ... + 13485298.

Almost surely, 214738833936 is an apocalyptic number.

14738833936 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 14738833936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14784028278).

14738833936 is an abundant number, since it is smaller than the sum of its proper divisors (14829222620).

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

14738833936 is a wasteful number, since it uses less digits than its factorization.

14738833936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2040 (or 2003 counting only the distinct ones).

The product of its digits is 7838208, while the sum is 55.

The spelling of 14738833936 in words is "fourteen billion, seven hundred thirty-eight million, eight hundred thirty-three thousand, nine hundred thirty-six".

Divisors: 1 2 4 8 16 31 62 124 248 496 877 961 1093 1754 1922 2186 3508 3844 4372 7016 7688 8744 14032 15376 17488 27187 33883 54374 67766 108748 135532 217496 271064 434992 542128 842797 958561 1050373 1685594 1917122 2100746 3371188 3834244 4201492 6742376 7668488 8402984 13484752 15336976 16805968 29715391 59430782 118861564 237723128 475446256 921177121 1842354242 3684708484 7369416968 14738833936