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11762020530 = 2345132833947
BaseRepresentation
bin10101111010001001…
…00011000010110010
31010100201022112220000
422331010203002302
5143042034124110
65223044530430
7564321345021
oct127504430262
933321275800
1011762020530
114a96399127
1223430b0a16
131155a70580
147d81908b8
1548c9131c0
hex2bd1230b2

11762020530 has 160 divisors (see below), whose sum is σ = 34188606144. Its totient is φ = 2884305024.

The previous prime is 11762020519. The next prime is 11762020561. The reversal of 11762020530 is 3502026711.

It is a happy number.

11762020530 is a `hidden beast` number, since 1 + 1 + 7 + 620 + 2 + 0 + 5 + 30 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 11762020494 and 11762020503.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2978017 + ... + 2981963.

Almost surely, 211762020530 is an apocalyptic number.

11762020530 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11762020530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17094303072).

11762020530 is an abundant number, since it is smaller than the sum of its proper divisors (22426585614).

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

11762020530 is a wasteful number, since it uses less digits than its factorization.

11762020530 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4262 (or 4253 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The spelling of 11762020530 in words is "eleven billion, seven hundred sixty-two million, twenty thousand, five hundred thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 27 30 39 45 54 65 78 81 90 117 130 135 162 195 234 270 283 351 390 405 566 585 702 810 849 1053 1170 1415 1698 1755 2106 2547 2830 3510 3679 3947 4245 5094 5265 7358 7641 7894 8490 10530 11037 11841 12735 15282 18395 19735 22074 22923 23682 25470 33111 35523 36790 38205 39470 45846 51311 55185 59205 66222 71046 76410 99333 102622 106569 110370 114615 118410 153933 165555 177615 198666 213138 229230 256555 297999 307866 319707 331110 355230 461799 496665 513110 532845 595998 639414 769665 923598 993330 1065690 1117001 1385397 1489995 1539330 1598535 2234002 2308995 2770794 2979990 3197070 3351003 4156191 4617990 5585005 6702006 6926985 8312382 10053009 11170010 13853970 14521013 16755015 20106018 20780955 29042026 30159027 33510030 41561910 43563039 50265045 60318054 72605065 87126078 90477081 100530090 130689117 145210130 150795135 180954162 217815195 261378234 301590270 392067351 435630390 452385405 653445585 784134702 904770810 1176202053 1306891170 1960336755 2352404106 3920673510 5881010265 11762020530