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14756253540 = 22357313112249
BaseRepresentation
bin11011011111000101…
…01000111101100100
31102002101111100101220
431233202220331210
5220210100103130
610440125420340
71031450041230
oct155742507544
942071440356
1014756253540
11629257a766
122a39a0a6b0
1315121b5b92
149ddad55c0
155b5718410
hex36f8a8f64

14756253540 has 96 divisors (see below), whose sum is σ = 47371296000. Its totient is φ = 3362052096.

The previous prime is 14756253529. The next prime is 14756253559. The reversal of 14756253540 is 4535265741.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 14756253492 and 14756253501.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 75336 + ... + 187584.

It is an arithmetic number, because the mean of its divisors is an integer number (493451000).

Almost surely, 214756253540 is an apocalyptic number.

14756253540 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 14756253540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23685648000).

14756253540 is an abundant number, since it is smaller than the sum of its proper divisors (32615042460).

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

14756253540 is a wasteful number, since it uses less digits than its factorization.

14756253540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112581 (or 112579 counting only the distinct ones).

The product of its (nonzero) digits is 504000, while the sum is 42.

It can be divided in two parts, 147562 and 53540, that added together give a palindrome (201102).

The spelling of 14756253540 in words is "fourteen billion, seven hundred fifty-six million, two hundred fifty-three thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 313 420 626 939 1252 1565 1878 2191 3130 3756 4382 4695 6260 6573 8764 9390 10955 13146 18780 21910 26292 32865 43820 65730 112249 131460 224498 336747 448996 561245 673494 785743 1122490 1346988 1571486 1683735 2244980 2357229 3142972 3367470 3928715 4714458 6734940 7857430 9428916 11786145 15714860 23572290 35133937 47144580 70267874 105401811 140535748 175669685 210803622 245937559 351339370 421607244 491875118 527009055 702678740 737812677 983750236 1054018110 1229687795 1475625354 2108036220 2459375590 2951250708 3689063385 4918751180 7378126770 14756253540