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66007136533005 = 32523288132213411
BaseRepresentation
bin11110000001000011110111…
…11011001111101000001101
322122201012221211120111201200
433000201323323033220031
532122430103423024010
6352215132050100113
716621600243116363
oct1700417373175015
9278635854514650
1066007136533005
111a039518852418
1274a076057a639
132aaa5a55a9485
141242a96263633
15796ee5323cc0
hex3c087becfa0d

66007136533005 has 48 divisors (see below), whose sum is σ = 119391018304896. Its totient is φ = 33672021989760.

The previous prime is 66007136533003. The next prime is 66007136533057. The reversal of 66007136533005 is 50033563170066.

66007136533005 is a `hidden beast` number, since 6 + 600 + 7 + 1 + 3 + 6 + 5 + 3 + 30 + 0 + 5 = 666.

It is not a de Polignac number, because 66007136533005 - 21 = 66007136533003 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66007136533003) 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, 28714750 + ... + 30928160.

It is an arithmetic number, because the mean of its divisors is an integer number (2487312881352).

Almost surely, 266007136533005 is an apocalyptic number.

It is an amenable number.

66007136533005 is a deficient number, since it is larger than the sum of its proper divisors (53383881771891).

66007136533005 is a wasteful number, since it uses less digits than its factorization.

66007136533005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2242258 (or 2242255 counting only the distinct ones).

The product of its (nonzero) digits is 1020600, while the sum is 45.

The spelling of 66007136533005 in words is "sixty-six trillion, seven billion, one hundred thirty-six million, five hundred thirty-three thousand, five".

Divisors: 1 3 5 9 15 23 45 69 115 207 345 1035 28813 86439 144065 259317 432195 662699 1296585 1988097 2213411 3313495 5964291 6640233 9940485 11067055 19920699 29821455 33201165 50908453 99603495 152725359 254542265 458176077 763626795 2290880385 63775011143 191325033429 318875055715 573975100287 956625167145 1466825256289 2869875501435 4400475768867 7334126281445 13201427306601 22002378844335 66007136533005