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4676374480 = 24587766653
BaseRepresentation
bin1000101101011101…
…11100111111010000
3110001220102102210211
410112232330333100
534034122440410
62052010533504
7223612345561
oct42656747720
913056372724
104676374480
111a8a7673a8
12aa6137294
13596aab3bb
143250dc168
151c582c68a
hex116bbcfd0

4676374480 has 40 divisors (see below), whose sum is σ = 10885131432. Its totient is φ = 1868388864.

The previous prime is 4676374477. The next prime is 4676374489. The reversal of 4676374480 is 844736764.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 94167616 + 4582206864 = 9704^2 + 67692^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4676374489) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 36834 + ... + 103486.

Almost surely, 24676374480 is an apocalyptic number.

4676374480 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4676374480 is an abundant number, since it is smaller than the sum of its proper divisors (6208756952).

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

4676374480 is a wasteful number, since it uses less digits than its factorization.

4676374480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67543 (or 67537 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 49.

The square root of 4676374480 is about 68384.0221104316. The cubic root of 4676374480 is about 1672.2572748034.

The spelling of 4676374480 in words is "four billion, six hundred seventy-six million, three hundred seventy-four thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 40 80 877 1754 3508 4385 7016 8770 14032 17540 35080 66653 70160 133306 266612 333265 533224 666530 1066448 1333060 2666120 5332240 58454681 116909362 233818724 292273405 467637448 584546810 935274896 1169093620 2338187240 4676374480