Search a number
-
+
23129179920 = 243257211107557
BaseRepresentation
bin10101100010100110…
…110100011100010000
32012200220122002010100
4111202212310130100
5334332032224140
614343030332400
71446106533300
oct254246643420
965626562110
1023129179920
119899901230
124595aba100
132247a7b5a2
141195b17600
1590582a530
hex5629b4710

23129179920 has 720 divisors, whose sum is σ = 99671352768. Its totient is φ = 4752599040.

The previous prime is 23129179919. The next prime is 23129179939. The reversal of 23129179920 is 2997192132.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 41524282 + ... + 41524838.

Almost surely, 223129179920 is an apocalyptic number.

23129179920 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 23129179920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49835676384).

23129179920 is an abundant number, since it is smaller than the sum of its proper divisors (76542172848).

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

23129179920 is a wasteful number, since it uses less digits than its factorization.

23129179920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 708 (or 692 counting only the distinct ones).

The product of its (nonzero) digits is 122472, while the sum is 45.

The spelling of 23129179920 in words is "twenty-three billion, one hundred twenty-nine million, one hundred seventy-nine thousand, nine hundred twenty".