Search a number
-
+
19380456600976 = 2411005812
BaseRepresentation
bin1000110100000010111010…
…01110110011010110010000
32112121202100100020220201001
410122001131032303112100
510020012133342212401
6105115131524551344
74040122532021062
oct432013516632620
975552310226631
1019380456600976
1161a222955a5a9
12221008b852554
13aa7752749cc3
144b003a5cb732
152391e43e1601
hex11a05d3b3590

19380456600976 has 15 divisors (see below), whose sum is σ = 37549668782433. Its totient is φ = 9690219495840.

The previous prime is 19380456600959. The next prime is 19380456600979. The reversal of 19380456600976 is 67900665408391.

The square root of 19380456600976 is 4402324.

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., 18208347231376 + 1172109369600 = 4267124^2 + 1082640^2 .

It is a super-2 number, since 2×193804566009762 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (19380456600979) 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, 17059006 + ... + 18159586.

Almost surely, 219380456600976 is an apocalyptic number.

19380456600976 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

19380456600976 is the 4402324-th square number.

It is an amenable number.

19380456600976 is a deficient number, since it is larger than the sum of its proper divisors (18169212181457).

19380456600976 is an frugal number, since it uses more digits than its factorization.

19380456600976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2201170 (or 1100583 counting only the distinct ones).

The product of its (nonzero) digits is 58786560, while the sum is 64.

The spelling of 19380456600976 in words is "nineteen trillion, three hundred eighty billion, four hundred fifty-six million, six hundred thousand, nine hundred seventy-six".

Divisors: 1 2 4 8 16 1100581 2201162 4402324 8804648 17609296 1211278537561 2422557075122 4845114150244 9690228300488 19380456600976