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3817820435144 = 238311514995421
BaseRepresentation
bin110111100011100111110…
…101001011001011001000
3111111222110110200220210012
4313203213311023023020
51000022344012411034
612041514341411052
7542554102154402
oct67434765131310
914458413626705
103817820435144
111242146118121
12517b04409a88
13219032759051
14d2ad7ca5b72
156949c26ecce
hex378e7d4b2c8

3817820435144 has 32 divisors (see below), whose sum is σ = 7250954941440. Its totient is φ = 1884272424000.

The previous prime is 3817820435131. The next prime is 3817820435147. The reversal of 3817820435144 is 4415340287183.

It is a junction number, because it is equal to n+sod(n) for n = 3817820435092 and 3817820435101.

It is not an unprimeable number, because it can be changed into a prime (3817820435147) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 1733447 + ... + 3261974.

It is an arithmetic number, because the mean of its divisors is an integer number (226592341920).

Almost surely, 23817820435144 is an apocalyptic number.

It is an amenable number.

3817820435144 is a deficient number, since it is larger than the sum of its proper divisors (3433134506296).

3817820435144 is a wasteful number, since it uses less digits than its factorization.

3817820435144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4996661 (or 4996657 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 50.

The spelling of 3817820435144 in words is "three trillion, eight hundred seventeen billion, eight hundred twenty million, four hundred thirty-five thousand, one hundred forty-four".

Divisors: 1 2 4 8 83 166 332 664 1151 2302 4604 9208 95533 191066 382132 764264 4995421 9990842 19981684 39963368 414619943 829239886 1658479772 3316959544 5749729571 11499459142 22998918284 45997836568 477227554393 954455108786 1908910217572 3817820435144