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5070912000 = 293537411
BaseRepresentation
bin1001011100011111…
…11111101000000000
3111002101211000112120
410232033333220000
540341123141000
62155103124240
7236443020000
oct45617775000
914071730476
105070912000
112172441270
12b962a3680
1362a75955b
14361680000
151ea2b26a0
hex12e3ffa00

5070912000 has 800 divisors, whose sum is σ = 21456287424. Its totient is φ = 1053696000.

The previous prime is 5070911983. The next prime is 5070912013. The reversal of 5070912000 is 2190705.

It is a tau number, because it is divible by the number of its divisors (800).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 460991995 + ... + 460992005.

Almost surely, 25070912000 is an apocalyptic number.

5070912000 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 5070912000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10728143712).

5070912000 is an abundant number, since it is smaller than the sum of its proper divisors (16385375424).

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

5070912000 is an frugal number, since it uses more digits than its factorization.

5070912000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 630, while the sum is 24.

The square root of 5070912000 is about 71210.3363283730. The cubic root of 5070912000 is about 1718.0218831053.

The spelling of 5070912000 in words is "five billion, seventy million, nine hundred twelve thousand".