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4944360960 = 29335711929
BaseRepresentation
bin1001001101011010…
…01111011000000000
3110202120200120011000
410212231033120000
540111224022320
62134342452000
7233345242350
oct44655173000
913676616130
104944360960
112107a65630
12b5ba34000
1360a47a896
1434c93ab60
151de115c90
hex126b4f600

4944360960 has 640 divisors, whose sum is σ = 21920025600. Its totient is φ = 1026293760.

The previous prime is 4944360959. The next prime is 4944360983. The reversal of 4944360960 is 690634494.

It is a happy number.

4944360960 is a `hidden beast` number, since 494 + 43 + 60 + 9 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5321776 + ... + 5322704.

It is an arithmetic number, because the mean of its divisors is an integer number (34250040).

Almost surely, 24944360960 is an apocalyptic number.

4944360960 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 4944360960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10960012800).

4944360960 is an abundant number, since it is smaller than the sum of its proper divisors (16975664640).

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

4944360960 is a wasteful number, since it uses less digits than its factorization.

4944360960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 979 (or 957 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 45.

The square root of 4944360960 is about 70316.1500652588. The cubic root of 4944360960 is about 1703.6095117922.

The spelling of 4944360960 in words is "four billion, nine hundred forty-four million, three hundred sixty thousand, nine hundred sixty".