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4644132444 = 22327312127151
BaseRepresentation
bin1000101001100111…
…11101011001011100
3102222122202101001100
410110303331121130
534002344214234
62044455513100
7223041321510
oct42463753134
912878671040
104644132444
111a73545496
12a97388790
135901cca83
14320b08140
151c2aae399
hex114cfd65c

4644132444 has 216 divisors, whose sum is σ = 14064820224. Its totient is φ = 1265544000.

The previous prime is 4644132439. The next prime is 4644132457. The reversal of 4644132444 is 4442314464.

4644132444 is a `hidden beast` number, since 4 + 644 + 1 + 3 + 2 + 4 + 4 + 4 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 4644132399 and 4644132408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 30755769 + ... + 30755919.

Almost surely, 24644132444 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 4644132444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7032410112).

4644132444 is an abundant number, since it is smaller than the sum of its proper divisors (9420687780).

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

4644132444 is a wasteful number, since it uses less digits than its factorization.

4644132444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 357 (or 321 counting only the distinct ones).

The product of its digits is 147456, while the sum is 36.

The square root of 4644132444 is about 68147.8718963402. The cubic root of 4644132444 is about 1668.4051902819.

The spelling of 4644132444 in words is "four billion, six hundred forty-four million, one hundred thirty-two thousand, four hundred forty-four".