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149966775 = 33527171867
BaseRepresentation
bin10001111000001…
…00111110110111
3101110012002202000
420330010332313
5301342414100
622514150343
73500460630
oct1074047667
9343162660
10149966775
117771a292
12422823b3
13250b9a4a
1415cba887
15d274900
hex8f04fb7

149966775 has 96 divisors (see below), whose sum is σ = 333550080. Its totient is φ = 64488960.

The previous prime is 149966771. The next prime is 149966777. The reversal of 149966775 is 577669941.

It is not a de Polignac number, because 149966775 - 22 = 149966771 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (149966771) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 79392 + ... + 81258.

It is an arithmetic number, because the mean of its divisors is an integer number (3474480).

Almost surely, 2149966775 is an apocalyptic number.

149966775 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

149966775 is an abundant number, since it is smaller than the sum of its proper divisors (183583305).

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

149966775 is a wasteful number, since it uses less digits than its factorization.

149966775 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1910 (or 1899 counting only the distinct ones).

The product of its digits is 2857680, while the sum is 54.

The square root of 149966775 is about 12246.0922338516. The cubic root of 149966775 is about 531.2900518823.

The spelling of 149966775 in words is "one hundred forty-nine million, nine hundred sixty-six thousand, seven hundred seventy-five".

Divisors: 1 3 5 7 9 15 17 21 25 27 35 45 51 63 75 85 105 119 135 153 175 189 225 255 315 357 425 459 525 595 675 765 945 1071 1275 1575 1785 1867 2295 2975 3213 3825 4725 5355 5601 8925 9335 11475 13069 16065 16803 26775 28005 31739 39207 46675 50409 65345 80325 84015 95217 117621 140025 158695 196035 222173 252045 285651 326725 352863 420075 476085 588105 666519 793475 856953 980175 1110865 1260225 1428255 1764315 1999557 2380425 2940525 3332595 4284765 5554325 5998671 7141275 8821575 9997785 16662975 21423825 29993355 49988925 149966775