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423917425152 = 2933135344507
BaseRepresentation
bin1100010101100110111…
…00101001001000000000
31111112012112102110022000
412022303130221020000
523421140330101102
6522424525344000
742425032442334
oct6126334511000
91445175373260
10423917425152
11153867375971
126a1a9108000
1330c8a7b5310
14167368657c4
15b06152801c
hex62b3729200

423917425152 has 320 divisors, whose sum is σ = 1376878124160. Its totient is φ = 127972196352.

The previous prime is 423917425133. The next prime is 423917425187. The reversal of 423917425152 is 251524719324.

423917425152 is a `hidden beast` number, since 4 + 2 + 3 + 91 + 7 + 42 + 515 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 423917425098 and 423917425107.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9502483 + ... + 9546989.

It is an arithmetic number, because the mean of its divisors is an integer number (4302744138).

Almost surely, 2423917425152 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 423917425152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (688439062080).

423917425152 is an abundant number, since it is smaller than the sum of its proper divisors (952960699008).

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

423917425152 is a wasteful number, since it uses less digits than its factorization.

423917425152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44600 (or 44578 counting only the distinct ones).

The product of its digits is 604800, while the sum is 45.

The spelling of 423917425152 in words is "four hundred twenty-three billion, nine hundred seventeen million, four hundred twenty-five thousand, one hundred fifty-two".