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423069696000 = 214335371093
BaseRepresentation
bin1100010100000001110…
…10110100000000000000
31111110000110021100112000
412022000322310000000
523412421320233000
6522204443504000
742365030036640
oct6120072640000
91443013240460
10423069696000
111534718a5466
1269bb1228000
1330b83c90833
1416696034520
15b011dc4000
hex6280eb4000

423069696000 has 960 divisors, whose sum is σ = 1789487132160. Its totient is φ = 96613171200.

The previous prime is 423069695989. The next prime is 423069696001. The reversal of 423069696000 is 696960324.

423069696000 is a `hidden beast` number, since 4 + 2 + 30 + 6 + 9 + 6 + 9 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (423069696001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 387071454 + ... + 387072546.

It is an arithmetic number, because the mean of its divisors is an integer number (1864049096).

Almost surely, 2423069696000 is an apocalyptic number.

423069696000 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 423069696000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (894743566080).

423069696000 is an abundant number, since it is smaller than the sum of its proper divisors (1366417436160).

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

423069696000 is an equidigital number, since it uses as much as digits as its factorization.

423069696000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1152 (or 1110 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 45.

The spelling of 423069696000 in words is "four hundred twenty-three billion, sixty-nine million, six hundred ninety-six thousand".