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14931682480 = 24511136121397
BaseRepresentation
bin11011110011111111…
…10110010010110000
31102112121121001200001
431321333312102300
5221040002314410
610505353435344
71036010130661
oct157177662260
942477531601
1014931682480
116372600060
122a8870bb54
13153c6492a0
14a1911d368
155c5d1c33a
hex379ff64b0

14931682480 has 160 divisors (see below), whose sum is σ = 41455971648. Its totient is φ = 4929638400.

The previous prime is 14931682463. The next prime is 14931682483. The reversal of 14931682480 is 8428613941.

It is a self number, because there is not a number n which added to its sum of digits gives 14931682480.

It is not an unprimeable number, because it can be changed into a prime (14931682483) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 687142 + ... + 708538.

Almost surely, 214931682480 is an apocalyptic number.

14931682480 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 14931682480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20727985824).

14931682480 is an abundant number, since it is smaller than the sum of its proper divisors (26524289168).

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

14931682480 is a wasteful number, since it uses less digits than its factorization.

14931682480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21495 (or 21489 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 46.

The spelling of 14931682480 in words is "fourteen billion, nine hundred thirty-one million, six hundred eighty-two thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 11 13 16 20 22 26 40 44 52 55 61 65 80 88 104 110 122 130 143 176 208 220 244 260 286 305 440 488 520 572 610 671 715 793 880 976 1040 1144 1220 1342 1430 1586 2288 2440 2684 2860 3172 3355 3965 4880 5368 5720 6344 6710 7930 8723 10736 11440 12688 13420 15860 17446 21397 26840 31720 34892 42794 43615 53680 63440 69784 85588 87230 106985 139568 171176 174460 213970 235367 278161 342352 348920 427940 470734 556322 697840 855880 941468 1112644 1176835 1305217 1390805 1711760 1882936 2225288 2353670 2610434 2781610 3059771 3765872 4450576 4707340 5220868 5563220 6119542 6526085 9414680 10441736 11126440 12239084 13052170 14357387 15298855 16967821 18829360 20883472 22252880 24478168 26104340 28714774 30597710 33935642 48956336 52208680 57429548 61195420 67871284 71786935 84839105 104417360 114859096 122390840 135742568 143573870 169678210 186646031 229718192 244781680 271485136 287147740 339356420 373292062 574295480 678712840 746584124 933230155 1148590960 1357425680 1493168248 1866460310 2986336496 3732920620 7465841240 14931682480