Search a number
-
+
1296685006848 = 2163371131307
BaseRepresentation
bin10010110111101000011…
…100110000000000000000
311120221222012121100112000
4102313220130300000000
5132221102330204343
62431404443504000
7162453030462330
oct22675034600000
94527865540460
101296685006848
1145aa14977830
1218b381228000
139537a39592a
1446a8d1c90c0
1523ae2daeed3
hex12de8730000

1296685006848 has 1088 divisors, whose sum is σ = 4960649379840. Its totient is φ = 324875059200.

The previous prime is 1296685006843. The next prime is 1296685006907. The reversal of 1296685006848 is 8486005866921.

1296685006848 is a `hidden beast` number, since 1 + 2 + 9 + 6 + 68 + 500 + 68 + 4 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (1296685006843) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4223729511 + ... + 4223729817.

Almost surely, 21296685006848 is an apocalyptic number.

1296685006848 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1296685006848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2480324689920).

1296685006848 is an abundant number, since it is smaller than the sum of its proper divisors (3663964372992).

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

1296685006848 is an equidigital number, since it uses as much as digits as its factorization.

1296685006848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 397 (or 361 counting only the distinct ones).

The product of its (nonzero) digits is 39813120, while the sum is 63.

The spelling of 1296685006848 in words is "one trillion, two hundred ninety-six billion, six hundred eighty-five million, six thousand, eight hundred forty-eight".