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5870480000 = 2754711953
BaseRepresentation
bin1010111011110100…
…00110101010000000
3120011010100021122012
411131322012222000
544010320330000
62410304432052
7265322154020
oct53572065200
916133307565
105870480000
112542807570
12117a018628
137272ba908
143d9935a80
152455a1735
hex15de86a80

5870480000 has 320 divisors, whose sum is σ = 18239411520. Its totient is φ = 1827840000.

The previous prime is 5870479973. The next prime is 5870480009. The reversal of 5870480000 is 840785.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (5870480009) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6159524 + ... + 6160476.

It is an arithmetic number, because the mean of its divisors is an integer number (56998161).

Almost surely, 25870480000 is an apocalyptic number.

5870480000 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 5870480000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9119705760).

5870480000 is an abundant number, since it is smaller than the sum of its proper divisors (12368931520).

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

5870480000 is an equidigital number, since it uses as much as digits as its factorization.

5870480000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1005 (or 978 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 32.

The square root of 5870480000 is about 76619.0576814933. The cubic root of 5870480000 is about 1803.9501725823.

The spelling of 5870480000 in words is "five billion, eight hundred seventy million, four hundred eighty thousand".