Search a number
-
+
483704500930560 = 211325713331101109
BaseRepresentation
bin110110111111011010011101…
…0111101000100100000000000
32100102122200212100011202221200
41231332310322331010200000
51001400003304214234220
64432430440255021200
7203612332311321120
oct15576647275044000
92312580770152850
10483704500930560
11130139a21696928
124630120a80a800
13179b91a59bb000
1487635cc0a8c80
153adc3e6587890
hex1b7ed3af44800

483704500930560 has 4608 divisors, whose sum is σ = 2183525600256000. Its totient is φ = 96889208832000.

The previous prime is 483704500930471. The next prime is 483704500930561. The reversal of 483704500930560 is 65039005407384.

483704500930560 is a `hidden beast` number, since 4 + 8 + 3 + 7 + 0 + 45 + 0 + 0 + 9 + 30 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (4608).

It is a junction number, because it is equal to n+sod(n) for n = 483704500930497 and 483704500930506.

It is not an unprimeable number, because it can be changed into a prime (483704500930561) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 4437655971786 + ... + 4437655971894.

It is an arithmetic number, because the mean of its divisors is an integer number (473855382000).

Almost surely, 2483704500930560 is an apocalyptic number.

483704500930560 is a gapful number since it is divisible by the number (40) 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 483704500930560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1091762800128000).

483704500930560 is an abundant number, since it is smaller than the sum of its proper divisors (1699821099325440).

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

483704500930560 is a wasteful number, since it uses less digits than its factorization.

483704500930560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 320 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 10886400, while the sum is 54.

The spelling of 483704500930560 in words is "four hundred eighty-three trillion, seven hundred four billion, five hundred million, nine hundred thirty thousand, five hundred sixty".