Search a number
-
+
23817036672 = 27321113144577
BaseRepresentation
bin10110001011100110…
…110010001110000000
32021110211221211012100
4112023212302032000
5342234130133142
614535201430400
71502131320462
oct261346621600
967424854170
1023817036672
11a112107190
12474833b400
132327428710
14121d210132
15945deeb4c
hex58b9b2380

23817036672 has 192 divisors, whose sum is σ = 80518379760. Its totient is φ = 6662062080.

The previous prime is 23817036637. The next prime is 23817036679. The reversal of 23817036672 is 27663071832.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23817036679) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 92448 + ... + 237024.

Almost surely, 223817036672 is an apocalyptic number.

23817036672 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 23817036672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40259189880).

23817036672 is an abundant number, since it is smaller than the sum of its proper divisors (56701343088).

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

23817036672 is a wasteful number, since it uses less digits than its factorization.

23817036672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144621 (or 144606 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The spelling of 23817036672 in words is "twenty-three billion, eight hundred seventeen million, thirty-six thousand, six hundred seventy-two".