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423426470924160 = 27355112310998729
BaseRepresentation
bin110000001000110101010100…
…0011000110100111110000000
32001112020011201210021112200000
41200101222220120310332000
5420444404403024033120
64100315234012400000
7155121360451162344
oct14021525030647600
92045204653245600
10423426470924160
11112a0a181149930
123b5a6a78476000
1315235c38b88042
14767bd443dd624
1533e4462ec8990
hex1811aa8634f80

423426470924160 has 1536 divisors, whose sum is σ = 1741915663488000. Its totient is φ = 97284075356160.

The previous prime is 423426470924143. The next prime is 423426470924161. The reversal of 423426470924160 is 61429074624324.

423426470924160 is a `hidden beast` number, since 4 + 2 + 3 + 4 + 2 + 6 + 470 + 9 + 2 + 4 + 160 = 666.

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 = 423426470924097 and 423426470924106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (423426470924161) 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 191 ways as a sum of consecutive naturals, for example, 4288725676 + ... + 4288824404.

It is an arithmetic number, because the mean of its divisors is an integer number (1134059676750).

Almost surely, 2423426470924160 is an apocalyptic number.

423426470924160 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 423426470924160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (870957831744000).

423426470924160 is an abundant number, since it is smaller than the sum of its proper divisors (1318489192563840).

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

423426470924160 is a wasteful number, since it uses less digits than its factorization.

423426470924160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98906 (or 98882 counting only the distinct ones).

The product of its (nonzero) digits is 13934592, while the sum is 54.

The spelling of 423426470924160 in words is "four hundred twenty-three trillion, four hundred twenty-six billion, four hundred seventy million, nine hundred twenty-four thousand, one hundred sixty".