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211551065660 = 225112383503717
BaseRepresentation
bin1100010100000101101…
…1010001011000111100
3202020001100122121201002
43011001123101120330
511431224033100120
6241104001305432
721166301250164
oct3050133213074
9666040577632
10211551065660
118179a074860
1235000035278
1316c4546b07c
14a34c23b5a4
1557825b7375
hex31416d163c

211551065660 has 96 divisors (see below), whose sum is σ = 511809725952. Its totient is φ = 72696293120.

The previous prime is 211551065659. The next prime is 211551065699. The reversal of 211551065660 is 66560155112.

It is a happy number.

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, 168122 + ... + 671838.

It is an arithmetic number, because the mean of its divisors is an integer number (5331351312).

Almost surely, 2211551065660 is an apocalyptic number.

211551065660 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 211551065660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255904862976).

211551065660 is an abundant number, since it is smaller than the sum of its proper divisors (300258660292).

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

211551065660 is a wasteful number, since it uses less digits than its factorization.

211551065660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 503843 (or 503841 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 38.

The spelling of 211551065660 in words is "two hundred eleven billion, five hundred fifty-one million, sixty-five thousand, six hundred sixty".

Divisors: 1 2 4 5 10 11 20 22 23 44 46 55 83 92 110 115 166 220 230 253 332 415 460 506 830 913 1012 1265 1660 1826 1909 2530 3652 3818 4565 5060 7636 9130 9545 18260 19090 20999 38180 41998 83996 104995 209990 419980 503717 1007434 2014868 2518585 5037170 5540887 10074340 11081774 11585491 22163548 23170982 27704435 41808511 46341964 55408870 57927455 83617022 110817740 115854910 127440401 167234044 209042555 231709820 254880802 418085110 459893621 509761604 637202005 836170220 919787242 961595753 1274404010 1839574484 1923191506 2299468105 2548808020 3846383012 4598936210 4807978765 9197872420 9615957530 10577553283 19231915060 21155106566 42310213132 52887766415 105775532830 211551065660