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14233472820 = 2233576161729
BaseRepresentation
bin11010100000110000…
…11000111100110100
31100201221210100002000
431100120120330310
5213122232112240
610312212415300
71012501344210
oct152030307464
940657710060
1014233472820
116044473886
122912917530
13145aab5a88
149904cd940
155848a0430
hex350618f34

14233472820 has 192 divisors, whose sum is σ = 51438374400. Its totient is φ = 3199979520.

The previous prime is 14233472777. The next prime is 14233472821. The reversal of 14233472820 is 2827433241.

It is a happy number.

14233472820 is a `hidden beast` number, since 1 + 42 + 334 + 7 + 282 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14233472821) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 199716 + ... + 261444.

It is an arithmetic number, because the mean of its divisors is an integer number (267908200).

Almost surely, 214233472820 is an apocalyptic number.

14233472820 is a gapful number since it is divisible by the number (10) 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 14233472820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25719187200).

14233472820 is an abundant number, since it is smaller than the sum of its proper divisors (37204901580).

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

14233472820 is a wasteful number, since it uses less digits than its factorization.

14233472820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61815 (or 61807 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The spelling of 14233472820 in words is "fourteen billion, two hundred thirty-three million, four hundred seventy-two thousand, eight hundred twenty".