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4978381824 = 210391319
BaseRepresentation
bin1001010001011110…
…00001010000000000
3110211221201000000000
410220233001100000
540143431204244
62142000000000
7234240355503
oct45057012000
913757630000
104978381824
112125191a49
12b6b300000
1361452ca80
1435327513a
151e20d6169
hex128bc1400

4978381824 has 440 divisors, whose sum is σ = 16921975840. Its totient is φ = 1451188224.

The previous prime is 4978381819. The next prime is 4978381867. The reversal of 4978381824 is 4281838794.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 262020087 + ... + 262020105.

It is an arithmetic number, because the mean of its divisors is an integer number (38459036).

Almost surely, 24978381824 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 4978381824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8460987920).

4978381824 is an abundant number, since it is smaller than the sum of its proper divisors (11943594016).

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

4978381824 is an frugal number, since it uses more digits than its factorization.

4978381824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79 (or 37 counting only the distinct ones).

The product of its digits is 3096576, while the sum is 54.

The square root of 4978381824 is about 70557.6489404232. The cubic root of 4978381824 is about 1707.5079489464.

The spelling of 4978381824 in words is "four billion, nine hundred seventy-eight million, three hundred eighty-one thousand, eight hundred twenty-four".