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28141404516 = 22327323832
BaseRepresentation
bin11010001101010110…
…111100000101100100
32200122020000110200100
4122031112330011210
5430113144421031
620532235544100
72014240664061
oct321526740544
980566013610
1028141404516
1110a310a8805
1255545bb030
1328662ca464
14150d67bc68
15aea898de6
hex68d5bc164

28141404516 has 81 divisors (see below), whose sum is σ = 72311823129. Its totient is φ = 9227812032.

The previous prime is 28141404503. The next prime is 28141404517. The reversal of 28141404516 is 61540414182.

The square root of 28141404516 is 167754.

It is a perfect power (a square), and thus also a powerful number.

28141404516 is a `hidden beast` number, since 28 + 141 + 40 + 451 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 15974432100 + 12166972416 = 126390^2 + 110304^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (28141404517) 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 26 ways as a sum of consecutive naturals, for example, 73476061 + ... + 73476443.

Almost surely, 228141404516 is an apocalyptic number.

28141404516 is the 167754-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28141404516

28141404516 is an abundant number, since it is smaller than the sum of its proper divisors (44170418613).

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

28141404516 is an equidigital number, since it uses as much as digits as its factorization.

28141404516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 922 (or 461 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

Multiplying 28141404516 by its sum of digits (36), we get a square (1013090562576 = 10065242).

28141404516 divided by its sum of digits (36) gives a square (781705681 = 279592).

Adding to 28141404516 its reverse (61540414182), we get a palindrome (89681818698).

The spelling of 28141404516 in words is "twenty-eight billion, one hundred forty-one million, four hundred four thousand, five hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 36 73 146 219 292 383 438 657 766 876 1149 1314 1532 2298 2628 3447 4596 5329 6894 10658 13788 15987 21316 27959 31974 47961 55918 63948 83877 95922 111836 146689 167754 191844 251631 293378 335508 440067 503262 586756 880134 1006524 1320201 1760268 2041007 2640402 4082014 5280804 6123021 8164028 10708297 12246042 18369063 21416594 24492084 32124891 36738126 42833188 64249782 73476252 96374673 128499564 192749346 385498692 781705681 1563411362 2345117043 3126822724 4690234086 7035351129 9380468172 14070702258 28141404516