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4744630044 = 223271141109383
BaseRepresentation
bin1000110101100110…
…10100111100011100
3110020122212011211200
410122303110330130
534204111130134
62102445515500
7225401455440
oct43263247434
913218764750
104744630044
112015246860
12b04b72b90
135a7c88bcb
143301c8820
151cb811499
hex11acd4f1c

4744630044 has 288 divisors, whose sum is σ = 15498362880. Its totient is φ = 1188172800.

The previous prime is 4744630021. The next prime is 4744630069. The reversal of 4744630044 is 4400364474.

It is a super-3 number, since 3×47446300443 (a number of 30 digits) contains 333 as substring.

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 = 4744629990 and 4744630008.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12387877 + ... + 12388259.

It is an arithmetic number, because the mean of its divisors is an integer number (53813760).

Almost surely, 24744630044 is an apocalyptic number.

4744630044 is a gapful number since it is divisible by the number (44) 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 4744630044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7749181440).

4744630044 is an abundant number, since it is smaller than the sum of its proper divisors (10753732836).

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

4744630044 is a wasteful number, since it uses less digits than its factorization.

4744630044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 561 (or 556 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 36.

The square root of 4744630044 is about 68881.2749881998. The cubic root of 4744630044 is about 1680.3540027817.

The spelling of 4744630044 in words is "four billion, seven hundred forty-four million, six hundred thirty thousand, forty-four".