Search a number
-
+
23993123000 = 2353711463673
BaseRepresentation
bin10110010110000110…
…100000000010111000
32021221010021221020012
4112112012200002320
5343114214414000
615004451521052
71506400115630
oct262606400270
967833257205
1023993123000
11a1a2546480
1247972b9188
132354a5c102
1412387696c0
159565d3735
hex5961a00b8

23993123000 has 256 divisors, whose sum is σ = 70253015040. Its totient is φ = 7451136000.

The previous prime is 23993122987. The next prime is 23993123023. The reversal of 23993123000 is 32139932.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 35650664 + ... + 35651336.

It is an arithmetic number, because the mean of its divisors is an integer number (274425840).

Almost surely, 223993123000 is an apocalyptic number.

23993123000 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 23993123000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35126507520).

23993123000 is an abundant number, since it is smaller than the sum of its proper divisors (46259892040).

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

23993123000 is a wasteful number, since it uses less digits than its factorization.

23993123000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1175 (or 1161 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 32.

The spelling of 23993123000 in words is "twenty-three billion, nine hundred ninety-three million, one hundred twenty-three thousand".