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1468963448496 = 2436125939939
BaseRepresentation
bin10101011000000101000…
…010110110011010110000
312012102122120212222000000
4111120011002312122300
5143031414120322441
63042455452430000
7211062166202445
oct25300502663260
95172576788000
101468963448496
11516a90630925
121b8840a78300
13a86a438732b
14511536bb9cc
152832776e2b6
hex156050b66b0

1468963448496 has 70 divisors (see below), whose sum is σ = 4267222987020. Its totient is φ = 489654478944.

The previous prime is 1468963448461. The next prime is 1468963448501. The reversal of 1468963448496 is 6948443698641.

1468963448496 is a `hidden beast` number, since 1 + 4 + 6 + 8 + 96 + 3 + 4 + 48 + 496 = 666.

It is a super-2 number, since 2×14689634484962 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

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 13 ways as a sum of consecutive naturals, for example, 62958306 + ... + 62981633.

It is an arithmetic number, because the mean of its divisors is an integer number (60960328386).

Almost surely, 21468963448496 is an apocalyptic number.

1468963448496 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1468963448496 is an abundant number, since it is smaller than the sum of its proper divisors (2798259538524).

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

1468963448496 is an equidigital number, since it uses as much as digits as its factorization.

1468963448496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125939965 (or 125939944 counting only the distinct ones).

The product of its digits is 859963392, while the sum is 72.

The spelling of 1468963448496 in words is "one trillion, four hundred sixty-eight billion, nine hundred sixty-three million, four hundred forty-eight thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 243 324 432 486 648 729 972 1296 1458 1944 2916 3888 5832 11664 125939939 251879878 377819817 503759756 755639634 1007519512 1133459451 1511279268 2015039024 2266918902 3022558536 3400378353 4533837804 6045117072 6800756706 9067675608 10201135059 13601513412 18135351216 20402270118 27203026824 30603405177 40804540236 54406053648 61206810354 81609080472 91810215531 122413620708 163218160944 183620431062 244827241416 367240862124 489654482832 734481724248 1468963448496