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20104533666 = 2337711077001
BaseRepresentation
bin10010101110010100…
…101101011010100010
31220220010020010111000
4102232110231122202
5312133230034131
613122541532430
71311131500530
oct225624553242
956803203430
1020104533666
118587537788
123a90b74116
131b85247b89
14d8a137150
157ca018ce6
hex4ae52d6a2

20104533666 has 128 divisors (see below), whose sum is σ = 52269649920. Its totient is φ = 5609520000.

The previous prime is 20104533661. The next prime is 20104533719. The reversal of 20104533666 is 66633540102.

It is a super-3 number, since 3×201045336663 (a number of 32 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 20104533666.

It is not an unprimeable number, because it can be changed into a prime (20104533661) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 2868166 + ... + 2875166.

It is an arithmetic number, because the mean of its divisors is an integer number (408356640).

Almost surely, 220104533666 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20104533666, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26134824960).

20104533666 is an abundant number, since it is smaller than the sum of its proper divisors (32165116254).

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

20104533666 is a wasteful number, since it uses less digits than its factorization.

20104533666 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7197 (or 7191 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The spelling of 20104533666 in words is "twenty billion, one hundred four million, five hundred thirty-three thousand, six hundred sixty-six".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 71 107 126 142 189 213 214 321 378 426 497 639 642 749 963 994 1278 1491 1498 1917 1926 2247 2889 2982 3834 4473 4494 5778 6741 7001 7597 8946 13419 13482 14002 15194 20223 21003 22791 26838 40446 42006 45582 49007 53179 63009 68373 98014 106358 126018 136746 147021 159537 189027 205119 294042 319074 378054 410238 441063 478611 497071 749107 882126 957222 994142 1323189 1435833 1491213 1498214 2247321 2646378 2871666 2982426 3479497 4473639 4494642 5243749 6741963 6958994 8947278 10438491 10487498 13420917 13483926 15731247 20225889 20876982 26841834 31315473 31462494 40451778 47193741 53186597 62630946 93946419 94387482 106373194 141581223 159559791 187892838 283162446 319119582 372306179 478679373 744612358 957358746 1116918537 1436038119 2233837074 2872076238 3350755611 6701511222 10052266833 20104533666