Search a number
-
+
23743417080 = 233529311271733
BaseRepresentation
bin10110000111001101…
…111100101011111000
32021021201102120002210
4112013031330223320
5342111303321310
614524011455120
71500245500215
oct260715745370
967251376083
1023743417080
11a0845a3749
1247277574a0
1323150c0526
141213528b0c
1593e70b820
hex58737caf8

23743417080 has 256 divisors, whose sum is σ = 76706611200. Its totient is φ = 5866076160.

The previous prime is 23743417043. The next prime is 23743417133. The reversal of 23743417080 is 8071434732.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13699894 + ... + 13701626.

It is an arithmetic number, because the mean of its divisors is an integer number (299635200).

Almost surely, 223743417080 is an apocalyptic number.

23743417080 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 23743417080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38353305600).

23743417080 is an abundant number, since it is smaller than the sum of its proper divisors (52963194120).

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

23743417080 is a wasteful number, since it uses less digits than its factorization.

23743417080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1934 (or 1930 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 39.

The spelling of 23743417080 in words is "twenty-three billion, seven hundred forty-three million, four hundred seventeen thousand, eighty".