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14912488620 = 223253112832083
BaseRepresentation
bin11011110001101101…
…01000010010101100
31102111021110220122100
431320312220102230
5221020044113440
610503430215100
71035355030131
oct157066502254
942437426570
1014912488620
116362790467
122a821b4490
131538688a83
14a16764588
155c42ca230
hex378da84ac

14912488620 has 144 divisors (see below), whose sum is σ = 46752556032. Its totient is φ = 3843538560.

The previous prime is 14912488609. The next prime is 14912488627. The reversal of 14912488620 is 2688421941.

14912488620 is a `hidden beast` number, since 1 + 4 + 9 + 12 + 4 + 8 + 8 + 620 = 666.

14912488620 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (14912488627) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 7158099 + ... + 7160181.

It is an arithmetic number, because the mean of its divisors is an integer number (324670528).

Almost surely, 214912488620 is an apocalyptic number.

14912488620 is a gapful number since it is divisible by the number (10) 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 14912488620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23376278016).

14912488620 is an abundant number, since it is smaller than the sum of its proper divisors (31840067412).

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

14912488620 is a wasteful number, since it uses less digits than its factorization.

14912488620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3412 (or 3407 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 14912488620 in words is "fourteen billion, nine hundred twelve million, four hundred eighty-eight thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 31 36 45 60 62 90 93 124 155 180 186 279 310 372 465 558 620 930 1116 1283 1395 1860 2083 2566 2790 3849 4166 5132 5580 6249 6415 7698 8332 10415 11547 12498 12830 15396 18747 19245 20830 23094 24996 25660 31245 37494 38490 39773 41660 46188 57735 62490 64573 74988 76980 79546 93735 115470 119319 124980 129146 159092 187470 193719 198865 230940 238638 258292 322865 357957 374940 387438 397730 477276 581157 596595 645730 715914 774876 795460 968595 1162314 1193190 1291460 1431828 1789785 1937190 2324628 2386380 2672489 2905785 3579570 3874380 5344978 5811570 7159140 8017467 10689956 11623140 13362445 16034934 24052401 26724890 32069868 40087335 48104802 53449780 80174670 82847159 96209604 120262005 160349340 165694318 240524010 248541477 331388636 414235795 481048020 497082954 745624431 828471590 994165908 1242707385 1491248862 1656943180 2485414770 2982497724 3728122155 4970829540 7456244310 14912488620