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4664133540 = 223251183101281
BaseRepresentation
bin1000101100000000…
…10000011110100100
3110001001101112101200
410112000100132210
534023004233130
62050452322500
7223403323653
oct42600203644
913031345350
104664133540
111a83866620
12aa2013430
135943b3841
1432363319a
151c4710760
hex1160107a4

4664133540 has 288 divisors, whose sum is σ = 15830785152. Its totient is φ = 1102080000.

The previous prime is 4664133497. The next prime is 4664133541. The reversal of 4664133540 is 453314664.

4664133540 is a `hidden beast` number, since 4 + 6 + 641 + 3 + 3 + 5 + 4 + 0 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 4664133495 and 4664133504.

It is not an unprimeable number, because it can be changed into a prime (4664133541) 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 95 ways as a sum of consecutive naturals, for example, 16598200 + ... + 16598480.

It is an arithmetic number, because the mean of its divisors is an integer number (54968004).

Almost surely, 24664133540 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4664133540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7915392576).

4664133540 is an abundant number, since it is smaller than the sum of its proper divisors (11166651612).

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

4664133540 is a wasteful number, since it uses less digits than its factorization.

4664133540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 491 (or 486 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The square root of 4664133540 is about 68294.4620009558. The cubic root of 4664133540 is about 1670.7968921986.

The spelling of 4664133540 in words is "four billion, six hundred sixty-four million, one hundred thirty-three thousand, five hundred forty".