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423285354236160 = 283351317231123981
BaseRepresentation
bin110000000111110011100110…
…1001011011000100100000000
32001111201200111010100000222000
41200033213031023120210000
5420440101401141024120
64100130335100144000
7155105233450134033
oct14017471513304400
92044650433300860
10423285354236160
11112965346492549
123b583654838000
1315225839b51620
14767519876b01a
1533e0954226990
hex180f9cd2d8900

423285354236160 has 1152 divisors, whose sum is σ = 1713586022507520. Its totient is φ = 98017778073600.

The previous prime is 423285354236123. The next prime is 423285354236183. The reversal of 423285354236160 is 61632453582324.

423285354236160 is a `hidden beast` number, since 4 + 2 + 3 + 2 + 8 + 5 + 3 + 542 + 36 + 1 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×4232853542361602 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 423285354236097 and 423285354236106.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 17650851370 + ... + 17650875350.

It is an arithmetic number, because the mean of its divisors is an integer number (1487487866760).

Almost surely, 2423285354236160 is an apocalyptic number.

423285354236160 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 423285354236160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (856793011253760).

423285354236160 is an abundant number, since it is smaller than the sum of its proper divisors (1290300668271360).

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

423285354236160 is a wasteful number, since it uses less digits than its factorization.

423285354236160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26352 (or 26332 counting only the distinct ones).

The product of its (nonzero) digits is 24883200, while the sum is 54.

The spelling of 423285354236160 in words is "four hundred twenty-three trillion, two hundred eighty-five billion, three hundred fifty-four million, two hundred thirty-six thousand, one hundred sixty".