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66635256654144 = 2633353109240991
BaseRepresentation
bin11110010011010101110101…
…10011010110100101000000
322201221021020121101201121000
433021222322303112211000
532213223001200413034
6353415451520132000
720015144531056023
oct1711527263264500
9281837217351530
1066635256654144
111a260943227152
127582438767000
132b248a6cc17c9
1412652410051ba
157a8508c34599
hex3c9abacd6940

66635256654144 has 112 divisors (see below), whose sum is σ = 196450260733440. Its totient is φ = 22148829204480.

The previous prime is 66635256654143. The next prime is 66635256654167. The reversal of 66635256654144 is 44145665253666.

66635256654144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66635256654143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54010512 + ... + 55230479.

It is an arithmetic number, because the mean of its divisors is an integer number (1754020185120).

Almost surely, 266635256654144 is an apocalyptic number.

66635256654144 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

66635256654144 is an abundant number, since it is smaller than the sum of its proper divisors (129815004079296).

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

66635256654144 is a wasteful number, since it uses less digits than its factorization.

66635256654144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109241365 (or 109241349 counting only the distinct ones).

The product of its digits is 373248000, while the sum is 63.

The spelling of 66635256654144 in words is "sixty-six trillion, six hundred thirty-five billion, two hundred fifty-six million, six hundred fifty-four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 216 288 353 432 576 706 864 1059 1412 1728 2118 2824 3177 4236 5648 6354 8472 9531 11296 12708 16944 19062 22592 25416 33888 38124 50832 67776 76248 101664 152496 203328 304992 609984 109240991 218481982 327722973 436963964 655445946 873927928 983168919 1310891892 1747855856 1966337838 2621783784 2949506757 3495711712 3932675676 5243567568 5899013514 6991423424 7865351352 10487135136 11798027028 15730702704 20974270272 23596054056 31461405408 38562069823 47192108112 62922810816 77124139646 94384216224 115686209469 154248279292 188768432448 231372418938 308496558584 347058628407 462744837876 616993117168 694117256814 925489675752 1041175885221 1233986234336 1388234513628 1850979351504 2082351770442 2467972468672 2776469027256 3701958703008 4164703540884 5552938054512 7403917406016 8329407081768 11105876109024 16658814163536 22211752218048 33317628327072 66635256654144