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14881379616 = 25347180863
BaseRepresentation
bin11011101101111111…
…11101010100100000
31102102002221102010000
431312333331110200
5220434113121431
610500355340000
71034526432255
oct156677752440
942362842100
1014881379616
116347172844
122a738b1600
1315320b608c
14a1258742c
155c16d29e6
hex376ffd520

14881379616 has 120 divisors (see below), whose sum is σ = 44382691584. Its totient is φ = 4890533760.

The previous prime is 14881379603. The next prime is 14881379651. The reversal of 14881379616 is 61697318841.

14881379616 is a `hidden beast` number, since 1 + 4 + 8 + 8 + 13 + 7 + 9 + 616 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 143601 + ... + 224463.

Almost surely, 214881379616 is an apocalyptic number.

14881379616 is a gapful number since it is divisible by the number (16) 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 14881379616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22191345792).

14881379616 is an abundant number, since it is smaller than the sum of its proper divisors (29501311968).

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

14881379616 is an equidigital number, since it uses as much as digits as its factorization.

14881379616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80956 (or 80939 counting only the distinct ones).

The product of its digits is 1741824, while the sum is 54.

The spelling of 14881379616 in words is "fourteen billion, eight hundred eighty-one million, three hundred seventy-nine thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 71 72 81 96 108 142 144 162 213 216 284 288 324 426 432 568 639 648 852 864 1136 1278 1296 1704 1917 2272 2556 2592 3408 3834 5112 5751 6816 7668 10224 11502 15336 20448 23004 30672 46008 61344 80863 92016 161726 184032 242589 323452 485178 646904 727767 970356 1293808 1455534 1940712 2183301 2587616 2911068 3881424 4366602 5741273 5822136 6549903 7762848 8733204 11482546 11644272 13099806 17223819 17466408 22965092 23288544 26199612 34447638 34932816 45930184 51671457 52399224 68895276 69865632 91860368 103342914 104798448 137790552 155014371 183720736 206685828 209596896 275581104 310028742 413371656 465043113 551162208 620057484 826743312 930086226 1240114968 1653486624 1860172452 2480229936 3720344904 4960459872 7440689808 14881379616