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66531105663150 = 23522994687161527
BaseRepresentation
bin11110010000010011110101…
…11010110110100010101110
322201120022102010221012012010
433020021322322312202232
532210021201022210100
6353255545031022050
720004466551205662
oct1710117272664256
9281508363835163
1066531105663150
111a220757759087
12756621080a926
132b17b1950569b
1412601a09688a2
157a596039b750
hex3c827aeb68ae

66531105663150 has 96 divisors (see below), whose sum is σ = 170689558026240. Its totient is φ = 17129560936320.

The previous prime is 66531105663131. The next prime is 66531105663157. The reversal of 66531105663150 is 5136650113566.

It is a super-3 number, since 3×665311056631503 (a number of 42 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 66531105663150.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66531105663157) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 411807687 + ... + 411969213.

It is an arithmetic number, because the mean of its divisors is an integer number (1778016229440).

Almost surely, 266531105663150 is an apocalyptic number.

66531105663150 is an abundant number, since it is smaller than the sum of its proper divisors (104158452363090).

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

66531105663150 is a wasteful number, since it uses less digits than its factorization.

66531105663150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256258 (or 256253 counting only the distinct ones).

The product of its (nonzero) digits is 1458000, while the sum is 48.

The spelling of 66531105663150 in words is "sixty-six trillion, five hundred thirty-one billion, one hundred five million, six hundred sixty-three thousand, one hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 29 30 50 58 75 87 145 150 174 290 435 725 870 1450 2175 4350 94687 161527 189374 284061 323054 473435 484581 568122 807635 946870 969162 1420305 1615270 2367175 2422905 2745923 2840610 4038175 4684283 4734350 4845810 5491846 7101525 8076350 8237769 9368566 12114525 13729615 14052849 14203050 16475538 23421415 24229050 27459230 28105698 41188845 46842830 68648075 70264245 82377690 117107075 137296150 140528490 205944225 234214150 351321225 411888450 702642450 15294507049 30589014098 45883521147 76472535245 91767042294 152945070490 229417605735 382362676225 443540704421 458835211470 764725352450 887081408842 1147088028675 1330622113263 2217703522105 2294176057350 2661244226526 4435407044210 6653110566315 11088517610525 13306221132630 22177035221050 33265552831575 66531105663150