Search a number
-
+
66673865398536 = 23331150515555611
BaseRepresentation
bin11110010100011101110000…
…00100000001100100001000
322202001221220022120011012000
433022032320010001210020
532214341034020223121
6353445314555351000
720021012353014024
oct1712167004014410
9282057808504160
1066673865398536
111a276255919270
127589a12752460
132b2841aa677a6
1412670648d9384
157a9518502526
hex3ca3b8101908

66673865398536 has 128 divisors (see below), whose sum is σ = 202082053132800. Its totient is φ = 20200197960000.

The previous prime is 66673865398513. The next prime is 66673865398537. The reversal of 66673865398536 is 63589356837666.

It is a super-2 number, since 2×666738653985362 (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (66673865398537) 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 31 ways as a sum of consecutive naturals, for example, 9223371 + ... + 14778981.

It is an arithmetic number, because the mean of its divisors is an integer number (1578766040100).

Almost surely, 266673865398536 is an apocalyptic number.

66673865398536 is a gapful number since it is divisible by the number (66) 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 66673865398536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101041026566400).

66673865398536 is an abundant number, since it is smaller than the sum of its proper divisors (135408187734264).

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

66673865398536 is a wasteful number, since it uses less digits than its factorization.

66673865398536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5560688 (or 5560678 counting only the distinct ones).

The product of its digits is 21163161600, while the sum is 81.

The spelling of 66673865398536 in words is "sixty-six trillion, six hundred seventy-three billion, eight hundred sixty-five million, three hundred ninety-eight thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 88 99 108 132 198 216 264 297 396 594 792 1188 2376 5051 10102 15153 20204 30306 40408 45459 55561 60612 90918 111122 121224 136377 166683 181836 222244 272754 333366 363672 444488 500049 545508 666732 1000098 1091016 1333464 1500147 2000196 3000294 4000392 5555611 6000588 11111222 12001176 16666833 22222444 33333666 44444888 50000499 61111721 66667332 100000998 122223442 133334664 150001497 183335163 200001996 244446884 300002994 366670326 400003992 488893768 550005489 600005988 733340652 1100010978 1200011976 1466681304 1650016467 2200021956 3300032934 4400043912 6600065868 13200131736 28061391161 56122782322 84184173483 112245564644 168368346966 224491129288 252552520449 308675302771 336736693932 505105040898 617350605542 673473387864 757657561347 926025908313 1010210081796 1234701211084 1515315122694 1852051816626 2020420163592 2469402422168 2778077724939 3030630245388 3704103633252 5556155449878 6061260490776 7408207266504 8334233174817 11112310899756 16668466349634 22224621799512 33336932699268 66673865398536