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1464163064 = 2371310119913
BaseRepresentation
bin101011101000101…
…0101101011111000
310210001002012010122
41113101111223320
510444311204224
6401142032412
751166115660
oct12721255370
93701065118
101464163064
11691533421
1234a418708
131a44555a0
14dc6551a0
158881b15e
hex57455af8

1464163064 has 64 divisors (see below), whose sum is σ = 3412463040. Its totient is φ = 573465600.

The previous prime is 1464163037. The next prime is 1464163073. The reversal of 1464163064 is 4603614641.

It is a happy number.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 63572 + ... + 83484.

It is an arithmetic number, because the mean of its divisors is an integer number (53319735).

Almost surely, 21464163064 is an apocalyptic number.

1464163064 is a gapful number since it is divisible by the number (14) 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 1464163064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1706231520).

1464163064 is an abundant number, since it is smaller than the sum of its proper divisors (1948299976).

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

1464163064 is a wasteful number, since it uses less digits than its factorization.

1464163064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20040 (or 20036 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 35.

The square root of 1464163064 is about 38264.3837530412. The cubic root of 1464163064 is about 1135.5244302273.

The spelling of 1464163064 in words is "one billion, four hundred sixty-four million, one hundred sixty-three thousand, sixty-four".

Divisors: 1 2 4 7 8 13 14 26 28 52 56 91 101 104 182 202 364 404 707 728 808 1313 1414 2626 2828 5252 5656 9191 10504 18382 19913 36764 39826 73528 79652 139391 159304 258869 278782 517738 557564 1035476 1115128 1812083 2011213 2070952 3624166 4022426 7248332 8044852 14078491 14496664 16089704 26145769 28156982 52291538 56313964 104583076 112627928 183020383 209166152 366040766 732081532 1464163064