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1666516504212 = 2232761483122441
BaseRepresentation
bin11000010000000100000…
…111111100111010010100
312220022120101210222222100
4120100010013330322110
5204301011211113322
63313330452202100
7231254555363220
oct30200407747224
95808511728870
101666516504212
1159284713661a
1222ab95009330
13c11c8762281
145a9347dd780
152d53ae97dac
hex184041fce94

1666516504212 has 144 divisors (see below), whose sum is σ = 4894536285184. Its totient is φ = 468224064000.

The previous prime is 1666516504193. The next prime is 1666516504253. The reversal of 1666516504212 is 2124056156661.

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 47 ways as a sum of consecutive naturals, for example, 74250912 + ... + 74273352.

Almost surely, 21666516504212 is an apocalyptic number.

1666516504212 is a gapful number since it is divisible by the number (12) 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 1666516504212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2447268142592).

1666516504212 is an abundant number, since it is smaller than the sum of its proper divisors (3228019780972).

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

1666516504212 is a wasteful number, since it uses less digits than its factorization.

1666516504212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27350 (or 27345 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 1666516504212 in words is "one trillion, six hundred sixty-six billion, five hundred sixteen million, five hundred four thousand, two hundred twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 61 63 84 122 126 183 244 252 366 427 549 732 854 1098 1281 1708 2196 2562 3843 4831 5124 7686 9662 14493 15372 19324 22441 28986 33817 43479 44882 57972 67323 67634 86958 89764 101451 134646 135268 157087 173916 201969 202902 269292 294691 304353 314174 403938 405804 471261 589382 608706 628348 807876 884073 942522 1178764 1217412 1368901 1413783 1768146 1885044 2062837 2652219 2737802 2827566 3536292 4106703 4125674 5304438 5475604 5655132 6188511 8213406 8251348 9582307 10608876 12320109 12377022 16426812 18565533 19164614 24640218 24754044 28746921 37131066 38329228 49280436 57493842 74262132 86240763 108412471 114987684 172481526 216824942 325237413 344963052 433649884 650474826 758887297 975712239 1300949652 1517774594 1951424478 2276661891 3035549188 3902848956 4553323782 6613160731 6829985673 9106647564 13226321462 13659971346 19839482193 26452642924 27319942692 39678964386 46292125117 59518446579 79357928772 92584250234 119036893158 138876375351 185168500468 238073786316 277752750702 416629126053 555505501404 833258252106 1666516504212