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66041255794816 = 2719325147106307
BaseRepresentation
bin11110000010000011011011…
…00101111001100010000000
322122211111000122222121000001
433001001231211321202000
532124004442440413231
6352242533432205344
716624215612060031
oct1701015545714200
9278744018877001
1066041255794816
111a051a37227855
1274a72a2b39854
132ab08821bbba3
1412445b17c8a88
15797d408ceb61
hex3c106d979880

66041255794816 has 64 divisors (see below), whose sum is σ = 132254759400480. Its totient is φ = 32847921266688.

The previous prime is 66041255794783. The next prime is 66041255794837. The reversal of 66041255794816 is 61849755214066.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×660412557948162 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 621178335 + ... + 621284641.

Almost surely, 266041255794816 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66041255794816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66127379700240).

66041255794816 is an abundant number, since it is smaller than the sum of its proper divisors (66213503605664).

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

66041255794816 is a wasteful number, since it uses less digits than its factorization.

66041255794816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131661 (or 131649 counting only the distinct ones).

The product of its (nonzero) digits is 87091200, while the sum is 64.

The spelling of 66041255794816 in words is "sixty-six trillion, forty-one billion, two hundred fifty-five million, seven hundred ninety-four thousand, eight hundred sixteen".

Divisors: 1 2 4 8 16 32 64 128 193 386 772 1544 3088 6176 12352 24704 25147 50294 100588 106307 201176 212614 402352 425228 804704 850456 1609408 1700912 3218816 3401824 4853371 6803648 9706742 13607296 19413484 20517251 38826968 41034502 77653936 82069004 155307872 164138008 310615744 328276016 621231488 656552032 1313104064 2626208128 2673302129 5346604258 10693208516 21386417032 42772834064 85545668128 171091336256 342182672512 515947310897 1031894621794 2063789243588 4127578487176 8255156974352 16510313948704 33020627897408 66041255794816