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84145720456 = 23712761319301
BaseRepresentation
bin100111001011101111…
…0011100110010001000
322001012021000111100001
41032113132130302020
52334312301023311
6102353410452344
76036131552110
oct1162736346210
9261167014301
1084145720456
113276007a236
12143842940b4
137c1ccb7545
1441035c2040
1522c742a4c1
hex139779cc88

84145720456 has 64 divisors (see below), whose sum is σ = 182037934080. Its totient is φ = 35718278400.

The previous prime is 84145720453. The next prime is 84145720487. The reversal of 84145720456 is 65402754148.

It is not an unprimeable number, because it can be changed into a prime (84145720453) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 4350006 + ... + 4369306.

It is an arithmetic number, because the mean of its divisors is an integer number (2844342720).

Almost surely, 284145720456 is an apocalyptic number.

It is an amenable number.

84145720456 is an abundant number, since it is smaller than the sum of its proper divisors (97892213624).

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

84145720456 is a wasteful number, since it uses less digits than its factorization.

84145720456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20054 (or 20050 counting only the distinct ones).

The product of its (nonzero) digits is 1075200, while the sum is 46.

The spelling of 84145720456 in words is "eighty-four billion, one hundred forty-five million, seven hundred twenty thousand, four hundred fifty-six".

Divisors: 1 2 4 7 8 14 28 56 127 254 508 613 889 1016 1226 1778 2452 3556 4291 4904 7112 8582 17164 19301 34328 38602 77204 77851 135107 154408 155702 270214 311404 540428 544957 622808 1080856 1089914 2179828 2451227 4359656 4902454 9804908 11831513 17158589 19609816 23663026 34317178 47326052 68634356 82820591 94652104 137268712 165641182 331282364 662564728 1502602151 3005204302 6010408604 10518215057 12020817208 21036430114 42072860228 84145720456