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20107083724 = 22713312471223
BaseRepresentation
bin10010101110011110…
…011011111111001100
31220220022000200111121
4102232132123333030
5312134403134344
613123112330324
71311162251230
oct225636337714
956808020447
1020107083724
118588a19672
123a919a39a4
131b8592b7a0
14d8a5dc5c0
157ca36e684
hex4ae79bfcc

20107083724 has 144 divisors (see below), whose sum is σ = 45739137024. Its totient is φ = 7527911040.

The previous prime is 20107083701. The next prime is 20107083749. The reversal of 20107083724 is 42738070102.

It is a self number, because there is not a number n which added to its sum of digits gives 20107083724.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16440177 + ... + 16441399.

It is an arithmetic number, because the mean of its divisors is an integer number (317632896).

Almost surely, 220107083724 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20107083724, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22869568512).

20107083724 is an abundant number, since it is smaller than the sum of its proper divisors (25632053300).

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

20107083724 is a wasteful number, since it uses less digits than its factorization.

20107083724 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1356 (or 1323 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 34.

The spelling of 20107083724 in words is "twenty billion, one hundred seven million, eighty-three thousand, seven hundred twenty-four".

Divisors: 1 2 4 7 13 14 26 28 31 47 52 62 91 94 124 182 188 217 329 364 403 434 611 658 806 868 961 1222 1223 1316 1457 1612 1922 2444 2446 2821 2914 3844 4277 4892 5642 5828 6727 8554 8561 10199 11284 12493 13454 15899 17108 17122 18941 20398 24986 26908 31798 34244 37882 37913 40796 45167 49972 57481 63596 75764 75826 87451 90334 111293 114962 132587 151652 174902 180668 222586 229924 265174 265391 316169 349804 402367 445172 492869 530348 530782 587171 632338 747253 804734 985738 1061564 1174342 1175303 1264676 1494506 1609468 1781911 1971476 2348684 2350606 2989012 3450083 3563822 4110197 4701212 5230771 6900166 7127644 8220394 8227121 10461542 12473377 13800332 15278939 16440788 16454242 20923084 23164843 24946754 30557878 32908484 46329686 49893508 55239241 61115756 92659372 106952573 110478482 162153901 213905146 220956964 324307802 386674687 427810292 648615604 718110133 773349374 1436220266 1546698748 2872440532 5026770931 10053541862 20107083724