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66434387035275 = 325271071237318683
BaseRepresentation
bin11110001101011111101100…
…00010100100010010001011
322201020001202122202211021100
433012233312002210102023
532201430111040112100
6353143311443112443
716664504020350030
oct1706576602442213
9281201678684240
1066434387035275
111a1937355a4476
12754b519972723
132b0b97478556c
141259627635387
157a319e285400
hex3c6bf60a448b

66434387035275 has 144 divisors (see below), whose sum is σ = 137372465528064. Its totient is φ = 30061757456640.

The previous prime is 66434387035253. The next prime is 66434387035307. The reversal of 66434387035275 is 57253078343466.

66434387035275 is a `hidden beast` number, since 6 + 6 + 4 + 3 + 4 + 38 + 70 + 3 + 527 + 5 = 666.

66434387035275 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 66434387035275 - 210 = 66434387034251 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 208306084 + ... + 208624766.

It is an arithmetic number, because the mean of its divisors is an integer number (953975455056).

Almost surely, 266434387035275 is an apocalyptic number.

66434387035275 is an abundant number, since it is smaller than the sum of its proper divisors (70938078492789).

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

66434387035275 is a wasteful number, since it uses less digits than its factorization.

66434387035275 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320050 (or 320042 counting only the distinct ones).

The product of its (nonzero) digits is 304819200, while the sum is 63.

The spelling of 66434387035275 in words is "sixty-six trillion, four hundred thirty-four billion, three hundred eighty-seven million, thirty-five thousand, two hundred seventy-five".

Divisors: 1 3 5 7 9 15 21 25 35 45 63 75 105 107 175 225 315 321 525 535 749 963 1237 1575 1605 2247 2675 3711 3745 4815 6185 6741 8025 8659 11133 11235 18555 18725 24075 25977 30925 33705 43295 55665 56175 77931 92775 129885 132359 168525 216475 278325 318683 389655 397077 649425 661795 926513 956049 1191231 1593415 1948275 1985385 2230781 2779539 2868147 3308975 4632565 4780245 5956155 6692343 7967075 8338617 9926925 11153905 13897695 14340735 20077029 23162825 23901225 29780775 33461715 34099081 41693085 55769525 69488475 71703675 100385145 102297243 167308575 170495405 208465425 238693567 306891729 394210871 501925725 511486215 716080701 852477025 1182632613 1193467835 1534458645 1971054355 2148242103 2557431075 2759476097 3547897839 3580403505 5913163065 5967339175 7672293225 8278428291 9855271775 10741210515 13797380485 17739489195 17902017525 24835284873 29565815325 41392141455 42180563197 53706052575 68986902425 88697445975 124176424365 126541689591 206960707275 210902815985 295263942379 379625068773 620882121825 632708447955 885791827137 1054514079925 1476319711895 1898125343865 2657375481411 3163542239775 4428959135685 7381598559475 9490626719325 13286877407055 22144795678425 66434387035275