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433242722952 = 2338134172
BaseRepresentation
bin1100100110111110100…
…01110101001010001000
31112102021102121200000000
412103133101311022020
524044240114113302
6531010131043000
743205105245434
oct6233721651210
91472242550000
10433242722952
1115781224a156
126bb70140460
1331b15780000
1416d7d1579c4
15b40a05e31c
hex64df475288

433242722952 has 540 divisors, whose sum is σ = 1402178204505. Its totient is φ = 125463955968.

The previous prime is 433242722951. The next prime is 433242722953. The reversal of 433242722952 is 259227242334.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

433242722952 is a `hidden beast` number, since 4 + 3 + 324 + 272 + 2 + 9 + 52 = 666.

It is an interprime number because it is at equal distance from previous prime (433242722951) and next prime (433242722953).

It can be written as a sum of positive squares in 8 ways, for example, as 94441894596 + 338800828356 = 307314^2 + 582066^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=465426.

Its product of digits (1451520) is a multiple of the sum of its prime divisors (35).

It is a junction number, because it is equal to n+sod(n) for n = 433242722898 and 433242722907.

It is not an unprimeable number, because it can be changed into a prime (433242722951) 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 134 ways as a sum of consecutive naturals, for example, 25484866048 + ... + 25484866064.

Almost surely, 2433242722952 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 433242722952

433242722952 is an abundant number, since it is smaller than the sum of its proper divisors (968935481553).

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

433242722952 is an frugal number, since it uses more digits than its factorization.

433242722952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 35 counting only the distinct ones).

The product of its digits is 1451520, while the sum is 45.

The spelling of 433242722952 in words is "four hundred thirty-three billion, two hundred forty-two million, seven hundred twenty-two thousand, nine hundred fifty-two".