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4503136680 = 233457211941
BaseRepresentation
bin1000011000110100…
…00110100110101000
3102121211110001020000
410030122012212220
533210300333210
62022501503000
7216410013240
oct41432064650
912554401200
104503136680
111a009a3269
12a58111a60
13569c34423
1430a0c4b20
151b550cac0
hex10c6869a8

4503136680 has 320 divisors, whose sum is σ = 17398212480. Its totient is φ = 1023321600.

The previous prime is 4503136669. The next prime is 4503136721. The reversal of 4503136680 is 866313054.

4503136680 is a `hidden beast` number, since 4 + 503 + 13 + 66 + 80 = 666.

It is a super-2 number, since 2×45031366802 = 40556479917522844800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4785010 + ... + 4785950.

It is an arithmetic number, because the mean of its divisors is an integer number (54369414).

Almost surely, 24503136680 is an apocalyptic number.

4503136680 is a gapful number since it is divisible by the number (40) 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 4503136680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8699106240).

4503136680 is an abundant number, since it is smaller than the sum of its proper divisors (12895075800).

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

4503136680 is a wasteful number, since it uses less digits than its factorization.

4503136680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1182 (or 1169 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 4503136680 is about 67105.4146846586. The cubic root of 4503136680 is about 1651.3471312495.

The spelling of 4503136680 in words is "four billion, five hundred three million, one hundred thirty-six thousand, six hundred eighty".