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23401810432 = 297211213593
BaseRepresentation
bin10101110010110110…
…110100101000000000
32020101220122010212201
4111302312310220000
5340411330413212
614430050002544
71455630051400
oct256266645000
966356563781
1023401810432
119a19791600
124651276454
13228c3b5810
1411c0004800
1591e72eb57
hex572db4a00

23401810432 has 360 divisors, whose sum is σ = 64493598708. Its totient is φ = 8402042880.

The previous prime is 23401810423. The next prime is 23401810433.

23401810432 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 22963159296 + 438651136 = 151536^2 + 20944^2 .

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 23401810432.

It is not an unprimeable number, because it can be changed into a prime (23401810433) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 39463128 + ... + 39463720.

Almost surely, 223401810432 is an apocalyptic number.

23401810432 is a gapful number since it is divisible by the number (22) 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 23401810432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32246799354).

23401810432 is an abundant number, since it is smaller than the sum of its proper divisors (41091788276).

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

23401810432 is a wasteful number, since it uses less digits than its factorization.

23401810432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 660 (or 626 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

The spelling of 23401810432 in words is "twenty-three billion, four hundred one million, eight hundred ten thousand, four hundred thirty-two".