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5003620776 = 233571133427
BaseRepresentation
bin1001010100011110…
…10011000110101000
3110220201012021100000
410222033103012220
540221411331101
62144300543000
7234665034450
oct45217230650
913821167300
105003620776
112138460390
12b77851a60
1361982896b
14356764d60
151e441e486
hex12a3d31a8

5003620776 has 192 divisors, whose sum is σ = 17521620480. Its totient is φ = 1299602880.

The previous prime is 5003620757. The next prime is 5003620781. The reversal of 5003620776 is 6770263005.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 5003620776.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 132975 + ... + 166401.

It is an arithmetic number, because the mean of its divisors is an integer number (91258440).

Almost surely, 25003620776 is an apocalyptic number.

5003620776 is a gapful number since it is divisible by the number (56) 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 5003620776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8760810240).

5003620776 is an abundant number, since it is smaller than the sum of its proper divisors (12517999704).

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

5003620776 is a wasteful number, since it uses less digits than its factorization.

5003620776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33466 (or 33450 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 36.

The square root of 5003620776 is about 70736.2762378682. The cubic root of 5003620776 is about 1710.3886097399.

The spelling of 5003620776 in words is "five billion, three million, six hundred twenty thousand, seven hundred seventy-six".