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483647920704 = 26341327432
BaseRepresentation
bin1110000100110111010…
…10011001101001000000
31201020101020220000110000
413002123222121221000
530411002331430304
61010103525240000
746641150331644
oct7023352315100
91636336800400
10483647920704
11177128708283
1279898863000
13367b9461100
14195a1602c24
15c8aa292939
hex709ba99a40

483647920704 has 315 divisors, whose sum is σ = 1554542915673. Its totient is φ = 148614455808.

The previous prime is 483647920697. The next prime is 483647920739. The reversal of 483647920704 is 407029746384.

The square root of 483647920704 is 695448.

It is a perfect power (a square), and thus also a powerful number.

483647920704 is a `hidden beast` number, since 4 + 8 + 364 + 79 + 207 + 0 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 71545550400 + 412102370304 = 267480^2 + 641952^2 .

It is a super-2 number, since 2×4836479207042 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 44 ways as a sum of consecutive naturals, for example, 650938957 + ... + 650939699.

Almost surely, 2483647920704 is an apocalyptic number.

483647920704 is the 695448-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 483647920704

483647920704 is an abundant number, since it is smaller than the sum of its proper divisors (1070894994969).

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

483647920704 is an frugal number, since it uses more digits than its factorization.

483647920704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1536 (or 761 counting only the distinct ones).

The product of its (nonzero) digits is 8128512, while the sum is 54.

The spelling of 483647920704 in words is "four hundred eighty-three billion, six hundred forty-seven million, nine hundred twenty thousand, seven hundred four".