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23162474040 = 23351077572383
BaseRepresentation
bin10101100100100101…
…110100111000111000
32012210020021121001220
4111210211310320320
5334414043132130
614350220112040
71446662531556
oct254445647070
965706247056
1023162474040
119906681632
1245a5095620
132251937a54
14119a302bd6
15908705410
hex564974e38

23162474040 has 128 divisors (see below), whose sum is σ = 70258959360. Its totient is φ = 6108286464.

The previous prime is 23162474033. The next prime is 23162474057. The reversal of 23162474040 is 4047426132.

It is a junction number, because it is equal to n+sod(n) for n = 23162473992 and 23162474010.

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 31 ways as a sum of consecutive naturals, for example, 9718689 + ... + 9721071.

It is an arithmetic number, because the mean of its divisors is an integer number (548898120).

Almost surely, 223162474040 is an apocalyptic number.

23162474040 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 23162474040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35129479680).

23162474040 is an abundant number, since it is smaller than the sum of its proper divisors (47096485320).

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

23162474040 is a wasteful number, since it uses less digits than its factorization.

23162474040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3261 (or 3257 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 33.

The spelling of 23162474040 in words is "twenty-three billion, one hundred sixty-two million, four hundred seventy-four thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 107 120 214 321 428 535 642 757 856 1070 1284 1514 1605 2140 2271 2383 2568 3028 3210 3785 4280 4542 4766 6056 6420 7149 7570 9084 9532 11355 11915 12840 14298 15140 18168 19064 22710 23830 28596 30280 35745 45420 47660 57192 71490 80999 90840 95320 142980 161998 242997 254981 285960 323996 404995 485994 509962 647992 764943 809990 971988 1019924 1214985 1274905 1529886 1619980 1803931 1943976 2039848 2429970 2549810 3059772 3239960 3607862 3824715 4859940 5099620 5411793 6119544 7215724 7649430 9019655 9719880 10199240 10823586 14431448 15298860 18039310 21647172 27058965 30597720 36078620 43294344 54117930 72157240 108235860 193020617 216471720 386041234 579061851 772082468 965103085 1158123702 1544164936 1930206170 2316247404 2895309255 3860412340 4632494808 5790618510 7720824680 11581237020 23162474040