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5442263640 = 2334511311491
BaseRepresentation
bin1010001000110001…
…00101101001011000
3112001021120122020000
411010120211221120
542121204414030
62300010333000
7251602322562
oct50430455130
915037518200
105442263640
11234301a250
12107a72a160
1368967a158
14398b08332
1521cbb7860
hex144625a58

5442263640 has 320 divisors, whose sum is σ = 20059902720. Its totient is φ = 1312416000.

The previous prime is 5442263623. The next prime is 5442263641. The reversal of 5442263640 is 463622445.

5442263640 is a `hidden beast` number, since 5 + 4 + 4 + 2 + 2 + 6 + 3 + 640 = 666.

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 = 5442263595 and 5442263604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5442263641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 11083795 + ... + 11084285.

It is an arithmetic number, because the mean of its divisors is an integer number (62687196).

Almost surely, 25442263640 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 5442263640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10029951360).

5442263640 is an abundant number, since it is smaller than the sum of its proper divisors (14617639080).

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

5442263640 is a wasteful number, since it uses less digits than its factorization.

5442263640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 836 (or 823 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

The square root of 5442263640 is about 73771.6994517545. The cubic root of 5442263640 is about 1758.9757771806.

The spelling of 5442263640 in words is "five billion, four hundred forty-two million, two hundred sixty-three thousand, six hundred forty".