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14498379648 = 27338834751
BaseRepresentation
bin11011000000010101…
…11011011110000000
31101102102020222221000
431200022323132000
5214143041122043
610354354332000
71022166123264
oct154012733600
941372228830
1014498379648
11616aa59245
12298758a000
1314a094758c
149b776a0a4
1559cc7b2d3
hex3602bb780

14498379648 has 128 divisors (see below), whose sum is σ = 42847833600. Its totient is φ = 4826304000.

The previous prime is 14498379611. The next prime is 14498379667. The reversal of 14498379648 is 84697389441.

14498379648 is a `hidden beast` number, since 1 + 449 + 83 + 79 + 6 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3049273 + ... + 3054023.

It is an arithmetic number, because the mean of its divisors is an integer number (334748700).

Almost surely, 214498379648 is an apocalyptic number.

14498379648 is a gapful number since it is divisible by the number (18) 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 14498379648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21423916800).

14498379648 is an abundant number, since it is smaller than the sum of its proper divisors (28349453952).

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

14498379648 is an equidigital number, since it uses as much as digits as its factorization.

14498379648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5657 (or 5639 counting only the distinct ones).

The product of its digits is 41803776, while the sum is 63.

The spelling of 14498379648 in words is "fourteen billion, four hundred ninety-eight million, three hundred seventy-nine thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 288 384 432 576 864 883 1152 1728 1766 2649 3456 3532 4751 5298 7064 7947 9502 10596 14128 14253 15894 19004 21192 23841 28256 28506 31788 38008 42384 42759 47682 56512 57012 63576 76016 84768 85518 95364 113024 114024 127152 128277 152032 169536 171036 190728 228048 254304 256554 304064 339072 342072 381456 456096 508608 513108 608128 684144 762912 912192 1017216 1026216 1368288 1525824 1824384 2052432 2736576 3051648 4104864 4195133 5473152 8209728 8390266 12585399 16419456 16780532 25170798 33561064 37756197 50341596 67122128 75512394 100683192 113268591 134244256 151024788 201366384 226537182 268488512 302049576 402732768 453074364 536977024 604099152 805465536 906148728 1208198304 1610931072 1812297456 2416396608 3624594912 4832793216 7249189824 14498379648