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4933989144 = 233273241829
BaseRepresentation
bin1001001100001011…
…01011001100011000
3110201212011121200200
410212011223030120
540101100123034
62133332302200
7233161134000
oct44605531430
913655147620
104933989144
112102121087
12b58471960
13608288a06
1434b3db000
151dd267a99
hex12616b318

4933989144 has 192 divisors, whose sum is σ = 15667080000. Its totient is φ = 1402168320.

The previous prime is 4933989131. The next prime is 4933989149. The reversal of 4933989144 is 4419893394.

4933989144 is a `hidden beast` number, since 493 + 3 + 9 + 8 + 9 + 144 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4933989149) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5951322 + ... + 5952150.

It is an arithmetic number, because the mean of its divisors is an integer number (81599375).

Almost surely, 24933989144 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 4933989144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7833540000).

4933989144 is an abundant number, since it is smaller than the sum of its proper divisors (10733090856).

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

4933989144 is a wasteful number, since it uses less digits than its factorization.

4933989144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1103 (or 1082 counting only the distinct ones).

The product of its digits is 3359232, while the sum is 54.

The square root of 4933989144 is about 70242.3600400784. The cubic root of 4933989144 is about 1702.4174538694.

The spelling of 4933989144 in words is "four billion, nine hundred thirty-three million, nine hundred eighty-nine thousand, one hundred forty-four".