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1362318489856 = 28729492
BaseRepresentation
bin10011110100110000100…
…000100111100100000000
311211020101022120202011001
4103310300200213210000
5134310012013133411
62521501313101344
7200265344046622
oct23646040474400
94736338522131
101362318489856
114858352a9a75
121a0039857854
139b609ca16cc
1449d17d20c12
1525684e9cdc1
hex13d30827900

1362318489856 has 27 divisors (see below), whose sum is σ = 2719352700561. Its totient is φ = 681149907456.

The previous prime is 1362318489839. The next prime is 1362318489859. The reversal of 1362318489856 is 6589848132631.

The square root of 1362318489856 is 1167184.

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

It can be written as a sum of positive squares in only one way, i.e., 1358660659456 + 3657830400 = 1165616^2 + 60480^2 .

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1362318489859) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 18638470 + ... + 18711418.

Almost surely, 21362318489856 is an apocalyptic number.

1362318489856 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1362318489856 is the 1167184-th square number.

It is an amenable number.

1362318489856 is a deficient number, since it is larger than the sum of its proper divisors (1357034210705).

1362318489856 is an frugal number, since it uses more digits than its factorization.

1362318489856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145914 (or 72951 counting only the distinct ones).

The product of its digits is 59719680, while the sum is 64.

Multiplying 1362318489856 by its sum of digits (64), we get a square (87188383350784 = 93374722).

1362318489856 divided by its sum of digits (64) gives a square (21286226404 = 1458982).

The spelling of 1362318489856 in words is "one trillion, three hundred sixty-two billion, three hundred eighteen million, four hundred eighty-nine thousand, eight hundred fifty-six".

Divisors: 1 2 4 8 16 32 64 128 256 72949 145898 291796 583592 1167184 2334368 4668736 9337472 18674944 5321556601 10643113202 21286226404 42572452808 85144905616 170289811232 340579622464 681159244928 1362318489856