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66235950 = 232521113381
BaseRepresentation
bin1111110010101…
…0111000101110
311121122010122100
43330222320232
5113424022300
610323355530
71432665504
oct374527056
9147563570
1066235950
1134430060
121a222ba6
1310951491
148b22674
155c35700
hex3f2ae2e

66235950 has 72 divisors (see below), whose sum is σ = 194146056. Its totient is φ = 16056000.

The previous prime is 66235943. The next prime is 66235969. The reversal of 66235950 is 5953266.

66235950 is a `hidden beast` number, since 6 + 62 + 3 + 595 + 0 = 666.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1741 + ... + 11640.

It is an arithmetic number, because the mean of its divisors is an integer number (2696473).

Almost surely, 266235950 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66235950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97073028).

66235950 is an abundant number, since it is smaller than the sum of its proper divisors (127910106).

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

66235950 is a wasteful number, since it uses less digits than its factorization.

66235950 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13410 (or 13402 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 36.

The square root of 66235950 is about 8138.5471676461. The cubic root of 66235950 is about 404.6050104176.

The spelling of 66235950 in words is "sixty-six million, two hundred thirty-five thousand, nine hundred fifty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 25 30 33 45 50 55 66 75 90 99 110 150 165 198 225 275 330 450 495 550 825 990 1650 2475 4950 13381 26762 40143 66905 80286 120429 133810 147191 200715 240858 294382 334525 401430 441573 602145 669050 735955 883146 1003575 1204290 1324719 1471910 2007150 2207865 2649438 3010725 3679775 4415730 6021450 6623595 7359550 11039325 13247190 22078650 33117975 66235950