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23382242838 = 2333121074211
BaseRepresentation
bin10101110001101100…
…001011011000010110
32020100112211000012000
4111301230023120112
5340341323232323
614424110340130
71455301533123
oct256154133026
966315730160
1023382242838
119a09737139
1246467ba646
132288324166
1411bb58d74a
1591cb66e43
hex571b0b616

23382242838 has 96 divisors (see below), whose sum is σ = 54205407360. Its totient is φ = 7470392400.

The previous prime is 23382242813. The next prime is 23382242857. The reversal of 23382242838 is 83824228332.

23382242838 is a `hidden beast` number, since 23 + 382 + 242 + 8 + 3 + 8 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 23382242793 and 23382242802.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 5550553 + ... + 5554763.

It is an arithmetic number, because the mean of its divisors is an integer number (564639660).

Almost surely, 223382242838 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23382242838, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27102703680).

23382242838 is an abundant number, since it is smaller than the sum of its proper divisors (30823164522).

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

23382242838 is a wasteful number, since it uses less digits than its factorization.

23382242838 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4391 (or 4354 counting only the distinct ones).

The product of its digits is 884736, while the sum is 45.

The spelling of 23382242838 in words is "twenty-three billion, three hundred eighty-two million, two hundred forty-two thousand, eight hundred thirty-eight".

Divisors: 1 2 3 6 9 18 27 31 54 62 93 107 186 214 279 321 558 642 837 961 963 1674 1922 1926 2883 2889 3317 4211 5766 5778 6634 8422 8649 9951 12633 17298 19902 25266 25947 29853 37899 51894 59706 75798 89559 102827 113697 130541 179118 205654 227394 261082 308481 391623 450577 616962 783246 901154 925443 1174869 1351731 1850886 2349738 2703462 2776329 3524607 4046771 4055193 5552658 7049214 8093542 8110386 12140313 12165579 13967887 24280626 24331158 27935774 36420939 41903661 72841878 83807322 109262817 125710983 218525634 251421966 377132949 433004497 754265898 866008994 1299013491 2598026982 3897040473 7794080946 11691121419 23382242838