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23434887168 = 2183371143
BaseRepresentation
bin10101110100110101…
…000000000000000000
32020111012212121122000
4111310311000000000
5340443312342133
614433230544000
71456511153130
oct256465000000
966435777560
1023434887168
119a36423650
124660368000
1322961c7054
1411c4574ac0
159225b5413
hex574d40000

23434887168 has 608 divisors, whose sum is σ = 88583531520. Its totient is φ = 5945425920.

The previous prime is 23434887163. The next prime is 23434887169. The reversal of 23434887168 is 86178843432.

23434887168 is a `hidden beast` number, since 2 + 3 + 434 + 88 + 71 + 68 = 666.

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 and also a Zuckerman number because it is divisible by the product of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23434887163) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 544997355 + ... + 544997397.

Almost surely, 223434887168 is an apocalyptic number.

23434887168 is a gapful number since it is divisible by the number (28) 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 23434887168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44291765760).

23434887168 is an abundant number, since it is smaller than the sum of its proper divisors (65148644352).

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

23434887168 is an frugal number, since it uses more digits than its factorization.

23434887168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 66 counting only the distinct ones).

The product of its digits is 6193152, while the sum is 54.

The spelling of 23434887168 in words is "twenty-three billion, four hundred thirty-four million, eight hundred eighty-seven thousand, one hundred sixty-eight".