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146643042258 = 232233116370099
BaseRepresentation
bin1000100010010010011…
…0110011111111010010
3112000111210202101120100
42020210212303333102
54400311104323013
6151211125153230
713410644202306
oct2104446637722
9460453671510
10146643042258
11572111a1109
122450655b816
1310a9cc46b2b
1471519c9d06
153c3402a473
hex22249b3fd2

146643042258 has 96 divisors (see below), whose sum is σ = 344340172800. Its totient is φ = 44969268960.

The previous prime is 146643042257. The next prime is 146643042311. The reversal of 146643042258 is 852240346641.

146643042258 is a `hidden beast` number, since 146 + 6 + 4 + 30 + 422 + 58 = 666.

146643042258 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (146643042257) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2056893 + ... + 2126991.

It is an arithmetic number, because the mean of its divisors is an integer number (3586876800).

Almost surely, 2146643042258 is an apocalyptic number.

146643042258 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 146643042258, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172170086400).

146643042258 is an abundant number, since it is smaller than the sum of its proper divisors (197697130542).

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

146643042258 is a wasteful number, since it uses less digits than its factorization.

146643042258 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70324 (or 70321 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 45.

Adding to 146643042258 its reverse (852240346641), we get a palindrome (998883388899).

The spelling of 146643042258 in words is "one hundred forty-six billion, six hundred forty-three million, forty-two thousand, two hundred fifty-eight".

Divisors: 1 2 3 6 9 18 23 31 46 62 69 93 138 163 186 207 279 326 414 489 558 713 978 1426 1467 2139 2934 3749 4278 5053 6417 7498 10106 11247 12834 15159 22494 30318 33741 45477 67482 70099 90954 116219 140198 210297 232438 348657 420594 630891 697314 1045971 1261782 1612277 2091942 2173069 3224554 4346138 4836831 6519207 9673662 11426137 13038414 14510493 19557621 22852274 29020986 34278411 39115242 49980587 68556822 99961174 102835233 149941761 205670466 262801151 299883522 354210247 449825283 525602302 708420494 788403453 899650566 1062630741 1576806906 2125261482 2365210359 3187892223 4730420718 6375784446 8146835681 16293671362 24440507043 48881014086 73321521129 146643042258