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23664030000 = 2435413471291
BaseRepresentation
bin10110000010011111…
…000111000100110000
32021002012001021111120
4112002133013010300
5341430442430000
614512054142240
71465262636052
oct260237070460
967065037446
1023664030000
11a043800a96
124705051980
132301816120
141206b818d2
159377796a0
hex5827c7130

23664030000 has 400 divisors, whose sum is σ = 84082285056. Its totient is φ = 5696640000.

The previous prime is 23664029993. The next prime is 23664030001. The reversal of 23664030000 is 3046632.

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (23664030001) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 18329355 + ... + 18330645.

Almost surely, 223664030000 is an apocalyptic number.

23664030000 is a gapful number since it is divisible by the number (20) 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 23664030000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42041142528).

23664030000 is an abundant number, since it is smaller than the sum of its proper divisors (60418255056).

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

23664030000 is a wasteful number, since it uses less digits than its factorization.

23664030000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1382 (or 1361 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 23664030000 its reverse (3046632), we get a palindrome (23667076632).

The spelling of 23664030000 in words is "twenty-three billion, six hundred sixty-four million, thirty thousand".