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14820728076 = 22327112486053
BaseRepresentation
bin11011100110110001…
…00101110100001100
31102020212210222211200
431303120211310030
5220323101244301
610450351345500
71033162052520
oct156330456414
942225728750
1014820728076
116315a07400
122a57522290
13152266b6ab
14a084b9d80
155bb201c86
hex373625d0c

14820728076 has 108 divisors (see below), whose sum is σ = 47061692496. Its totient is φ = 3849531840.

The previous prime is 14820728071. The next prime is 14820728113. The reversal of 14820728076 is 67082702841.

14820728076 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14820728071) 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 35 ways as a sum of consecutive naturals, for example, 212535 + ... + 273518.

It is an arithmetic number, because the mean of its divisors is an integer number (435756412).

Almost surely, 214820728076 is an apocalyptic number.

It is an amenable number.

14820728076 is an abundant number, since it is smaller than the sum of its proper divisors (32240964420).

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

14820728076 is a wasteful number, since it uses less digits than its factorization.

14820728076 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 486092 (or 486076 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 45.

The spelling of 14820728076 in words is "fourteen billion, eight hundred twenty million, seven hundred twenty-eight thousand, seventy-six".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 28 33 36 42 44 63 66 77 84 99 121 126 132 154 198 231 242 252 308 363 396 462 484 693 726 847 924 1089 1386 1452 1694 2178 2541 2772 3388 4356 5082 7623 10164 15246 30492 486053 972106 1458159 1944212 2916318 3402371 4374477 5346583 5832636 6804742 8748954 10207113 10693166 13609484 16039749 17497908 20414226 21386332 30621339 32079498 37426081 40828452 48119247 58812413 61242678 64158996 74852162 96238494 112278243 117624826 122485356 149704324 176437239 192476988 224556486 235249652 336834729 352874478 411686891 449112972 529311717 673669458 705748956 823373782 1058623434 1235060673 1347338916 1646747564 2117246868 2470121346 3705182019 4940242692 7410364038 14820728076