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1664162500 = 225572111319
BaseRepresentation
bin110001100110001…
…0001101011000100
311021222102012210011
41203030101223010
511402011200000
6433044440004
756145101500
oct14314215304
94258365704
101664162500
11784415a10
123a53a9004
13206a0c550
1411b037300
159b1752ba
hex63311ac4

1664162500 has 432 divisors, whose sum is σ = 5236539840. Its totient is φ = 453600000.

The previous prime is 1664162483. The next prime is 1664162509. The reversal of 1664162500 is 52614661.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1664162509) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 87587491 + ... + 87587509.

It is an arithmetic number, because the mean of its divisors is an integer number (12121620).

Almost surely, 21664162500 is an apocalyptic number.

1664162500 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 1664162500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2618269920).

1664162500 is an abundant number, since it is smaller than the sum of its proper divisors (3572377340).

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

1664162500 is a wasteful number, since it uses less digits than its factorization.

1664162500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 31.

The square root of 1664162500 is about 40794.1478646141. The cubic root of 1664162500 is about 1185.0370002749.

It can be divided in two parts, 16641 and 62500, that multiplied together give a square (1040062500 = 322502).

The spelling of 1664162500 in words is "one billion, six hundred sixty-four million, one hundred sixty-two thousand, five hundred".