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1316818944 = 2123872
BaseRepresentation
bin100111001111101…
…0001000000000000
310101202211100000000
41032133101000000
510144101201234
6334400000000
744426530200
oct11637210000
93352740000
101316818944
11616345621
12309000000
1317ca7650c
14c6c5c400
157a913899
hex4e7d1000

1316818944 has 351 divisors, whose sum is σ = 4594634967. Its totient is φ = 376233984.

The previous prime is 1316818907. The next prime is 1316818949. The reversal of 1316818944 is 4498186131.

The square root of 1316818944 is 36288.

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

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

Its product of digits (165888) is a multiple of the sum of its prime divisors (12).

It is a zygodrome in base 6.

It is a self number, because there is not a number n which added to its sum of digits gives 1316818944.

It is not an unprimeable number, because it can be changed into a prime (1316818949) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 188116989 + ... + 188116995.

Almost surely, 21316818944 is an apocalyptic number.

1316818944 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

1316818944 is the 36288-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1316818944

1316818944 is an abundant number, since it is smaller than the sum of its proper divisors (3277816023).

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

1316818944 is an frugal number, since it uses more digits than its factorization.

1316818944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62 (or 12 counting only the distinct ones).

The product of its digits is 165888, while the sum is 45.

The cubic root of 1316818944 is about 1096.0794159869.

It can be divided in two parts, 131681 and 8944, that added together give a square (140625 = 3752).

The spelling of 1316818944 in words is "one billion, three hundred sixteen million, eight hundred eighteen thousand, nine hundred forty-four".