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1968981465616 = 24112318912
BaseRepresentation
bin11100101001110000011…
…100001101101000010000
320222020021201000001002021
4130221300130031220100
5224224433223344431
64104312042101224
7262153124212144
oct34516034155020
96866251001067
101968981465616
1169a049784900
12279727aaa814
1311389c172b09
146b429071224
153633ec60b11
hex1ca7070da10

1968981465616 has 45 divisors (see below), whose sum is σ = 4193370428079. Its totient is φ = 894963511200.

The previous prime is 1968981465611. The next prime is 1968981465643. The reversal of 1968981465616 is 6165641898691.

It is a happy number.

The square root of 1968981465616 is 1403204.

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1968981465611) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 61725031 + ... + 61756921.

Almost surely, 21968981465616 is an apocalyptic number.

1968981465616 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1968981465616 is the 1403204-th square number.

It is an amenable number.

1968981465616 is an abundant number, since it is smaller than the sum of its proper divisors (2224388962463).

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

1968981465616 is an frugal number, since it uses more digits than its factorization.

1968981465616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63812 (or 31904 counting only the distinct ones).

The product of its digits is 134369280, while the sum is 70.

The spelling of 1968981465616 in words is "one trillion, nine hundred sixty-eight billion, nine hundred eighty-one million, four hundred sixty-five thousand, six hundred sixteen".

Divisors: 1 2 4 8 11 16 22 44 88 121 176 242 484 968 1936 31891 63782 127564 255128 350801 510256 701602 1403204 2806408 3858811 5612816 7717622 15435244 30870488 61740976 1017035881 2034071762 4068143524 8136287048 11187394691 16272574096 22374789382 44749578764 89499157528 123061341601 178998315056 246122683202 492245366404 984490732808 1968981465616