Search a number
-
+
1997937018256 = 2497236432
BaseRepresentation
bin11101000100101110010…
…100111000010110010000
321002000000122222112000211
4131010232110320112100
5230213233334041011
64125501204053504
7264226512310024
oct35045624702620
97060018875024
101997937018256
117003583a70a3
12283269094294
13116535037b0a
146c9b48bc384
1536e86d28b21
hex1d12e538590

1997937018256 has 45 divisors (see below), whose sum is σ = 3912395583681. Its totient is φ = 988398475776.

The previous prime is 1997937018251. The next prime is 1997937018281. The reversal of 1997937018256 is 6528107397991.

The square root of 1997937018256 is 1413484.

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., 897149952400 + 1100787065856 = 947180^2 + 1049184^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1997937018191 and 1997937018200.

It is not an unprimeable number, because it can be changed into a prime (1997937018251) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 548429971 + ... + 548433613.

Almost surely, 21997937018256 is an apocalyptic number.

1997937018256 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1997937018256 is the 1413484-th square number.

It is an amenable number.

1997937018256 is a deficient number, since it is larger than the sum of its proper divisors (1914458565425).

1997937018256 is an frugal number, since it uses more digits than its factorization.

1997937018256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7488 (or 3742 counting only the distinct ones).

The product of its (nonzero) digits is 51438240, while the sum is 67.

The spelling of 1997937018256 in words is "one trillion, nine hundred ninety-seven billion, nine hundred thirty-seven million, eighteen thousand, two hundred fifty-six".

Divisors: 1 2 4 8 16 97 194 388 776 1552 3643 7286 9409 14572 18818 29144 37636 58288 75272 150544 353371 706742 1413484 2826968 5653936 13271449 26542898 34276987 53085796 68553974 106171592 137107948 212343184 274215896 548431792 1287330553 2574661106 5149322212 10298644424 20597288848 124871063641 249742127282 499484254564 998968509128 1997937018256