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23478384384 = 2833713163229
BaseRepresentation
bin10101110111011010…
…111011011100000000
32020121020201111121000
4111313122323130000
5341040431300014
614441423132000
71460546655150
oct256732733400
966536644530
1023478384384
119a58a32764
124672a44000
1322a2216650
1411ca258760
15926308509
hex5776bb700

23478384384 has 576 divisors, whose sum is σ = 86351641600. Its totient is φ = 6127239168.

The previous prime is 23478384329. The next prime is 23478384401. The reversal of 23478384384 is 48348387432.

It is a happy number.

23478384384 is a `hidden beast` number, since 23 + 478 + 38 + 43 + 84 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 23478384384.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 102525582 + ... + 102525810.

Almost surely, 223478384384 is an apocalyptic number.

23478384384 is a gapful number since it is divisible by the number (24) 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 23478384384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43175820800).

23478384384 is an abundant number, since it is smaller than the sum of its proper divisors (62873257216).

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

23478384384 is a wasteful number, since it uses less digits than its factorization.

23478384384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 437 (or 417 counting only the distinct ones).

The product of its digits is 12386304, while the sum is 54.

The spelling of 23478384384 in words is "twenty-three billion, four hundred seventy-eight million, three hundred eighty-four thousand, three hundred eighty-four".