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5022349920 = 253457232983
BaseRepresentation
bin1001010110101101…
…01111101001100000
3110222000102210220000
410223112233221200
540241210144140
62150210220000
7235313161410
oct45326575140
913860383800
105022349920
112147a92915
12b81b84600
136206857b3
1435903c640
151e5dbda30
hex12b5afa60

5022349920 has 960 divisors, whose sum is σ = 22129873920. Its totient is φ = 1047416832.

The previous prime is 5022349903. The next prime is 5022349921. The reversal of 5022349920 is 299432205.

5022349920 is a `hidden beast` number, since 502 + 23 + 49 + 92 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5022349921) by changing a digit.

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 159 ways as a sum of consecutive naturals, for example, 60510199 + ... + 60510281.

It is an arithmetic number, because the mean of its divisors is an integer number (23051952).

Almost surely, 25022349920 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 5022349920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11064936960).

5022349920 is an abundant number, since it is smaller than the sum of its proper divisors (17107524000).

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

5022349920 is a wasteful number, since it uses less digits than its factorization.

5022349920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 5022349920 is about 70868.5397055703. The cubic root of 5022349920 is about 1712.5200148264.

The spelling of 5022349920 in words is "five billion, twenty-two million, three hundred forty-nine thousand, nine hundred twenty".