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23358495342 = 237132313713577
BaseRepresentation
bin10101110000010001…
…100101101001101110
32020021220010111202010
4111300101211221232
5340314233322332
614421501342050
71454562635340
oct256021455156
966256114663
1023358495342
1199a7297306
12463a867926
13228342b0a0
1411b836b290
1591aa259cc
hex570465a6e

23358495342 has 128 divisors (see below), whose sum is σ = 60440131584. Its totient is φ = 5849192448.

The previous prime is 23358495323. The next prime is 23358495343. The reversal of 23358495342 is 24359485332.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 23358495291 and 23358495300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23358495343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1713658 + ... + 1727234.

It is an arithmetic number, because the mean of its divisors is an integer number (472188528).

Almost surely, 223358495342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23358495342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30220065792).

23358495342 is an abundant number, since it is smaller than the sum of its proper divisors (37081636242).

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

23358495342 is a wasteful number, since it uses less digits than its factorization.

23358495342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13762.

The product of its digits is 3110400, while the sum is 48.

The spelling of 23358495342 in words is "twenty-three billion, three hundred fifty-eight million, four hundred ninety-five thousand, three hundred forty-two".

Divisors: 1 2 3 6 7 13 14 21 23 26 39 42 46 69 78 91 137 138 161 182 273 274 299 322 411 483 546 598 822 897 959 966 1781 1794 1918 2093 2877 3151 3562 4186 5343 5754 6279 6302 9453 10686 12467 12558 13577 18906 22057 24934 27154 37401 40731 40963 44114 66171 74802 81462 81926 95039 122889 132342 176501 190078 245778 285117 286741 312271 353002 529503 570234 573482 624542 860223 936813 1059006 1235507 1720446 1860049 1873626 2185897 2471014 3706521 3720098 4059523 4371794 5580147 6557691 7413042 8119046 11160294 12178569 13020343 13115382 24180637 24357138 26040686 28416661 39061029 42781127 48361274 56833322 72541911 78122058 85249983 85562254 128343381 145083822 169264459 170499966 256686762 299467889 338528918 507793377 556154651 598935778 898403667 1015586754 1112309302 1668463953 1796807334 3336927906 3893082557 7786165114 11679247671 23358495342