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23117366740 = 22513432279109
BaseRepresentation
bin10101100001111001…
…110000010111010100
32012200002101220111011
4111201321300113110
5334321021213430
614341525222004
71445604242446
oct254171602724
965602356434
1023117366740
119893172876
124591b61904
1322454a3640
141194320496
1590479522a
hex561e705d4

23117366740 has 96 divisors (see below), whose sum is σ = 53738213760. Its totient is φ = 8299501056.

The previous prime is 23117366737. The next prime is 23117366773. The reversal of 23117366740 is 4766371132.

It is a junction number, because it is equal to n+sod(n) for n = 23117366693 and 23117366702.

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, 2533306 + ... + 2542414.

It is an arithmetic number, because the mean of its divisors is an integer number (559773060).

Almost surely, 223117366740 is an apocalyptic number.

23117366740 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 23117366740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26869106880).

23117366740 is an abundant number, since it is smaller than the sum of its proper divisors (30620847020).

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

23117366740 is a wasteful number, since it uses less digits than its factorization.

23117366740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9401 (or 9399 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 40.

The spelling of 23117366740 in words is "twenty-three billion, one hundred seventeen million, three hundred sixty-six thousand, seven hundred forty".

Divisors: 1 2 4 5 10 13 20 26 43 52 65 86 130 172 215 227 260 430 454 559 860 908 1118 1135 2236 2270 2795 2951 4540 5590 5902 9109 9761 11180 11804 14755 18218 19522 29510 36436 39044 45545 48805 59020 91090 97610 118417 126893 182180 195220 236834 253786 391687 473668 507572 592085 634465 783374 1184170 1268930 1566748 1958435 2067743 2368340 2537860 3916870 4135486 5091931 7833740 8270972 10183862 10338715 20367724 20677430 25459655 26880659 41354860 50919310 53761318 88912949 101838620 107522636 134403295 177825898 268806590 355651796 444564745 537613180 889129490 1155868337 1778258980 2311736674 4623473348 5779341685 11558683370 23117366740