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66122145 = 32537151263
BaseRepresentation
bin1111110000111…
…1000110100001
311121102100112100
43330033012201
5113411402040
610321121013
71432012635
oct374170641
9147370470
1066122145
1134362601
121a189169
131091173b
148ad2dc5
155c11b30
hex3f0f1a1

66122145 has 48 divisors (see below), whose sum is σ = 118939392. Its totient is φ = 33955200.

The previous prime is 66122137. The next prime is 66122153. The reversal of 66122145 is 54122166.

66122145 is a `hidden beast` number, since 6 + 612 + 2 + 1 + 45 = 666.

It is an interprime number because it is at equal distance from previous prime (66122137) and next prime (66122153).

It is not a de Polignac number, because 66122145 - 23 = 66122137 is a prime.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 251284 + ... + 251546.

It is an arithmetic number, because the mean of its divisors is an integer number (2477904).

Almost surely, 266122145 is an apocalyptic number.

It is an amenable number.

66122145 is a deficient number, since it is larger than the sum of its proper divisors (52817247).

66122145 is a wasteful number, since it uses less digits than its factorization.

66122145 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 462 (or 459 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 66122145 is about 8131.5524348060. The cubic root of 66122145 is about 404.3731500751.

The spelling of 66122145 in words is "sixty-six million, one hundred twenty-two thousand, one hundred forty-five".

Divisors: 1 3 5 9 15 37 45 111 151 185 263 333 453 555 755 789 1315 1359 1665 2265 2367 3945 5587 6795 9731 11835 16761 27935 29193 39713 48655 50283 83805 87579 119139 145965 198565 251415 357417 437895 595695 1469381 1787085 4408143 7346905 13224429 22040715 66122145