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164946690 = 23254144701
BaseRepresentation
bin10011101010011…
…10001100000010
3102111101011022200
421311032030002
5314211243230
624211214030
74042011066
oct1165161402
9374334280
10164946690
1185120987
12472a7316
13282331bc
1417c99aa6
15e733160
hex9d4e302

164946690 has 48 divisors (see below), whose sum is σ = 439331256. Its totient is φ = 42912000.

The previous prime is 164946689. The next prime is 164946739. The reversal of 164946690 is 96649461.

164946690 is a `hidden beast` number, since 16 + 494 + 66 + 90 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 29387241 + 135559449 = 5421^2 + 11643^2 .

It is a super-2 number, since 2×1649466902 = 54414821083912200, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18661 + ... + 26040.

Almost surely, 2164946690 is an apocalyptic number.

164946690 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

164946690 is an abundant number, since it is smaller than the sum of its proper divisors (274384566).

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

164946690 is a wasteful number, since it uses less digits than its factorization.

164946690 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44755 (or 44752 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The square root of 164946690 is about 12843.1573220918. The cubic root of 164946690 is about 548.4215791760.

The spelling of 164946690 in words is "one hundred sixty-four million, nine hundred forty-six thousand, six hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 30 41 45 82 90 123 205 246 369 410 615 738 1230 1845 3690 44701 89402 134103 223505 268206 402309 447010 670515 804618 1341030 1832741 2011545 3665482 4023090 5498223 9163705 10996446 16494669 18327410 27491115 32989338 54982230 82473345 164946690