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150663168 = 212326167
BaseRepresentation
bin10001111101011…
…11000000000000
3101111111111000100
420332233000000
5302032210133
622541122400
73506421135
oct1076570000
9344444010
10150663168
1178055517
1242559400
13252a1a06
141601c58c
15d360e13
hex8faf000

150663168 has 156 divisors (see below), whose sum is σ = 448932328. Its totient is φ = 48660480.

The previous prime is 150663143. The next prime is 150663173. The reversal of 150663168 is 861366051.

It is a happy number.

150663168 is a `hidden beast` number, since 15 + 0 + 6 + 631 + 6 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2248671 + ... + 2248737.

Almost surely, 2150663168 is an apocalyptic number.

150663168 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 150663168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224466164).

150663168 is an abundant number, since it is smaller than the sum of its proper divisors (298269160).

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

150663168 is an equidigital number, since it uses as much as digits as its factorization.

150663168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 150663168 is about 12274.4925760701. The cubic root of 150663168 is about 532.1111569792. Note that the first 4 decimals are identical.

The spelling of 150663168 in words is "one hundred fifty million, six hundred sixty-three thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 61 64 67 72 96 122 128 134 144 183 192 201 244 256 268 288 366 384 402 488 512 536 549 576 603 732 768 804 976 1024 1072 1098 1152 1206 1464 1536 1608 1952 2048 2144 2196 2304 2412 2928 3072 3216 3904 4087 4096 4288 4392 4608 4824 5856 6144 6432 7808 8174 8576 8784 9216 9648 11712 12261 12288 12864 15616 16348 17152 17568 18432 19296 23424 24522 25728 31232 32696 34304 35136 36783 36864 38592 46848 49044 51456 62464 65392 68608 70272 73566 77184 93696 98088 102912 124928 130784 137216 140544 147132 154368 187392 196176 205824 249856 261568 274432 281088 294264 308736 374784 392352 411648 523136 562176 588528 617472 749568 784704 823296 1046272 1124352 1177056 1234944 1569408 2092544 2248704 2354112 2469888 3138816 4185088 4708224 6277632 8370176 9416448 12555264 16740352 18832896 25110528 37665792 50221056 75331584 150663168