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14769364848 = 2437192121763
BaseRepresentation
bin11011100000101001…
…01001111101110000
31102010022011110201220
431300110221331300
5220221424133343
610441314425040
71031666346510
oct156024517560
942108143656
1014769364848
116299a15457
122a42292180
131514b26954
14a01749840
155b6958183
hex370529f70

14769364848 has 120 divisors (see below), whose sum is σ = 46020947328. Its totient is φ = 3997689984.

The previous prime is 14769364811. The next prime is 14769364859. The reversal of 14769364848 is 84846396741.

14769364848 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 14769364791 and 14769364800.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 60415 + ... + 182177.

Almost surely, 214769364848 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14769364848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23010473664).

14769364848 is an abundant number, since it is smaller than the sum of its proper divisors (31251582480).

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

14769364848 is a wasteful number, since it uses less digits than its factorization.

14769364848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121819 (or 121794 counting only the distinct ones).

The product of its digits is 27869184, while the sum is 60.

The spelling of 14769364848 in words is "fourteen billion, seven hundred sixty-nine million, three hundred sixty-four thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 38 42 48 56 57 76 84 112 114 133 152 168 228 266 304 336 361 399 456 532 722 798 912 1064 1083 1444 1596 2128 2166 2527 2888 3192 4332 5054 5776 6384 7581 8664 10108 15162 17328 20216 30324 40432 60648 121296 121763 243526 365289 487052 730578 852341 974104 1461156 1704682 1948208 2313497 2557023 2922312 3409364 4626994 5114046 5844624 6818728 6940491 9253988 10228092 13637456 13880982 16194479 18507976 20456184 27761964 32388958 37015952 40912368 43956443 48583437 55523928 64777916 87912886 97166874 111047856 129555832 131869329 175825772 194333748 259111664 263738658 307695101 351651544 388667496 527477316 615390202 703303088 777334992 923085303 1054954632 1230780404 1846170606 2109909264 2461560808 3692341212 4923121616 7384682424 14769364848