Search a number
-
+
1348029629472 = 25367209581721
BaseRepresentation
bin10011100111011100110…
…100111100010000100000
311202212111111120102121210
4103213130310330100200
5134041231041120342
62511135401150120
7166251300535551
oct23473464742040
94685444512553
101348029629472
1147a772645749
1219931048b340
139a170895236
1449360334328
15250ea80b79c
hex139dcd3c420

1348029629472 has 48 divisors (see below), whose sum is σ = 3591392388192. Its totient is φ = 442636592640.

The previous prime is 1348029629413. The next prime is 1348029629509. The reversal of 1348029629472 is 2749269208431.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×13480296294722 (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 104784429 + ... + 104797292.

It is an arithmetic number, because the mean of its divisors is an integer number (74820674754).

Almost surely, 21348029629472 is an apocalyptic number.

1348029629472 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1348029629472 is an abundant number, since it is smaller than the sum of its proper divisors (2243362758720).

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

1348029629472 is a wasteful number, since it uses less digits than its factorization.

1348029629472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209581801 (or 209581793 counting only the distinct ones).

The product of its (nonzero) digits is 10450944, while the sum is 57.

The spelling of 1348029629472 in words is "one trillion, three hundred forty-eight billion, twenty-nine million, six hundred twenty-nine thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 67 96 134 201 268 402 536 804 1072 1608 2144 3216 6432 209581721 419163442 628745163 838326884 1257490326 1676653768 2514980652 3353307536 5029961304 6706615072 10059922608 14041975307 20119845216 28083950614 42125925921 56167901228 84251851842 112335802456 168503703684 224671604912 337007407368 449343209824 674014814736 1348029629472