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11500061661 = 32113147611307
BaseRepresentation
bin10101011010111010…
…10000001111011101
31002200110101122212200
422231131100033131
5142023003433121
65141050122113
7554660624364
oct125535201735
932613348780
1011500061661
1149715375a0
12228b420339
13111370181a
147b14807db
1547491aa26
hex2ad7503dd

11500061661 has 96 divisors (see below), whose sum is σ = 19431899136. Its totient is φ = 6488208000.

The previous prime is 11500061659. The next prime is 11500061693. The reversal of 11500061661 is 16616000511.

It is not a de Polignac number, because 11500061661 - 21 = 11500061659 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11500061611) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8798170 + ... + 8799476.

It is an arithmetic number, because the mean of its divisors is an integer number (202415616).

Almost surely, 211500061661 is an apocalyptic number.

11500061661 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11500061661 is a deficient number, since it is larger than the sum of its proper divisors (7931837475).

11500061661 is a wasteful number, since it uses less digits than its factorization.

11500061661 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1463 (or 1460 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The spelling of 11500061661 in words is "eleven billion, five hundred million, sixty-one thousand, six hundred sixty-one".

Divisors: 1 3 9 11 31 33 47 61 93 99 141 183 279 341 423 517 549 671 1023 1307 1457 1551 1891 2013 2867 3069 3921 4371 4653 5673 6039 8601 11763 13113 14377 16027 17019 20801 25803 31537 40517 43131 48081 61429 62403 79727 88877 94611 121551 129393 144243 184287 187209 239181 266631 283833 364653 445687 552861 675719 717543 799893 876997 977647 1337061 1904299 2027157 2471537 2630991 2932941 3747169 4011183 5712897 6081471 7414611 7892973 8798823 11241507 17138691 20947289 22243833 27186907 33724521 41218859 62841867 81560721 116162239 123656577 188525601 244682163 348486717 370969731 1045460151 1277784629 3833353887 11500061661