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5046552000 = 2632537171931
BaseRepresentation
bin1001011001100110…
…00100010111000000
3111000200222101220100
410230303010113000
540313404131000
62152433042400
7236025661410
oct45463042700
914020871810
105046552000
11215a713236
12b8a0b6400
136256aa759
1435c33c640
151e809ea00
hex12ccc45c0

5046552000 has 1344 divisors, whose sum is σ = 23736360960. Its totient is φ = 995328000.

The previous prime is 5046551971. The next prime is 5046552001. The reversal of 5046552000 is 2556405.

5046552000 is a `hidden beast` number, since 5 + 0 + 4 + 655 + 2 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5046552001) 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 191 ways as a sum of consecutive naturals, for example, 162791985 + ... + 162792015.

Almost surely, 25046552000 is an apocalyptic number.

5046552000 is a gapful number since it is divisible by the number (50) 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 5046552000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11868180480).

5046552000 is an abundant number, since it is smaller than the sum of its proper divisors (18689808960).

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

5046552000 is a wasteful number, since it uses less digits than its factorization.

5046552000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The square root of 5046552000 is about 71039.0878319816. The cubic root of 5046552000 is about 1715.2664150487.

The spelling of 5046552000 in words is "five billion, forty-six million, five hundred fifty-two thousand".