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1664122460 = 22571113101823
BaseRepresentation
bin110001100110000…
…0111111001011100
311021222100011212012
41203030013321130
511402003404320
6433043530352
756144543660
oct14314077134
94258304765
101664122460
11784398920
123a53899b8
132069c7260
1411b0268a0
159b1684c5
hex63307e5c

1664122460 has 192 divisors, whose sum is σ = 4744341504. Its totient is φ = 473472000.

The previous prime is 1664122441. The next prime is 1664122477. The reversal of 1664122460 is 642214661.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2021609 + ... + 2022431.

It is an arithmetic number, because the mean of its divisors is an integer number (24710112).

Almost surely, 21664122460 is an apocalyptic number.

1664122460 is a gapful number since it is divisible by the number (10) 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 1664122460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2372170752).

1664122460 is an abundant number, since it is smaller than the sum of its proper divisors (3080219044).

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

1664122460 is a wasteful number, since it uses less digits than its factorization.

1664122460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 964 (or 962 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 32.

The square root of 1664122460 is about 40793.6571049961. The cubic root of 1664122460 is about 1185.0274961425.

The spelling of 1664122460 in words is "one billion, six hundred sixty-four million, one hundred twenty-two thousand, four hundred sixty".