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422125412184 = 2332729233123953
BaseRepresentation
bin1100010010010001010…
…00101001111101011000
31111100120122102202122100
412021020220221331120
523404003101142214
6521531032323400
742332442541620
oct6111050517530
91440518382570
10422125412184
11153027877013
1269988b43560
1330a63460808
141660686b880
15aea904b309
hex6248a29f58

422125412184 has 192 divisors, whose sum is σ = 1357445044800. Its totient is φ = 115947675648.

The previous prime is 422125412171. The next prime is 422125412237. The reversal of 422125412184 is 481214521224.

422125412184 is a `hidden beast` number, since 4 + 2 + 2 + 12 + 541 + 21 + 84 = 666.

It is a super-2 number, since 2×4221254121842 (a number of 24 digits) contains 22 as substring.

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

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 47 ways as a sum of consecutive naturals, for example, 3343552 + ... + 3467504.

It is an arithmetic number, because the mean of its divisors is an integer number (7070026275).

Almost surely, 2422125412184 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 422125412184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (678722522400).

422125412184 is an abundant number, since it is smaller than the sum of its proper divisors (935319632616).

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

422125412184 is a wasteful number, since it uses less digits than its factorization.

422125412184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124234 (or 124227 counting only the distinct ones).

The product of its digits is 40960, while the sum is 36.

The spelling of 422125412184 in words is "four hundred twenty-two billion, one hundred twenty-five million, four hundred twelve thousand, one hundred eighty-four".