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84146464148 = 22292423929927
BaseRepresentation
bin100111001011110000…
…1010010010110010100
322001012022102021111012
41032113201102112110
52334312443323043
6102353434431352
76036141100235
oct1162741222624
9261168367435
1084146464148
1132760537a5a
1214384592558
137c201b7bb6
14410373708c
1522c7525a18
hex1397852594

84146464148 has 24 divisors (see below), whose sum is σ = 152345491200. Its totient is φ = 40619397728.

The previous prime is 84146464133. The next prime is 84146464217.

84146464148 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×841464641482 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 84146464096 and 84146464105.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 2796761 + ... + 2826687.

It is an arithmetic number, because the mean of its divisors is an integer number (6347728800).

Almost surely, 284146464148 is an apocalyptic number.

It is an amenable number.

84146464148 is a deficient number, since it is larger than the sum of its proper divisors (68199027052).

84146464148 is a wasteful number, since it uses less digits than its factorization.

84146464148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54199 (or 54197 counting only the distinct ones).

The product of its digits is 2359296, while the sum is 50.

The spelling of 84146464148 in words is "eighty-four billion, one hundred forty-six million, four hundred sixty-four thousand, one hundred forty-eight".

Divisors: 1 2 4 29 58 116 24239 29927 48478 59854 96956 119708 702931 867883 1405862 1735766 2811724 3471532 725400553 1450801106 2901602212 21036616037 42073232074 84146464148