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233142363054 = 232671495092549
BaseRepresentation
bin1101100100100001011…
…1100010001110101110
3211021210002111011121100
43121020113202032232
512304433421104204
6255034253543530
722562325250116
oct3311027421656
9737702434540
10233142363054
118a969871097
1239226aa4ba6
1318ca67225a3
14b3d99d0046
1560e7db3a39
hex36485e23ae

233142363054 has 96 divisors (see below), whose sum is σ = 517338900000. Its totient is φ = 75861257472.

The previous prime is 233142363031. The next prime is 233142363071. The reversal of 233142363054 is 450363241332.

233142363054 is a `hidden beast` number, since 2 + 3 + 3 + 14 + 2 + 3 + 630 + 5 + 4 = 666.

233142363054 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2331423630542 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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, 91462972 + ... + 91465520.

It is an arithmetic number, because the mean of its divisors is an integer number (5388946875).

Almost surely, 2233142363054 is an apocalyptic number.

233142363054 is an abundant number, since it is smaller than the sum of its proper divisors (284196536946).

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

233142363054 is a wasteful number, since it uses less digits than its factorization.

233142363054 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3282 (or 3279 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 36.

The spelling of 233142363054 in words is "two hundred thirty-three billion, one hundred forty-two million, three hundred sixty-three thousand, fifty-four".

Divisors: 1 2 3 6 9 18 67 134 149 201 298 402 447 509 603 894 1018 1206 1341 1527 2549 2682 3054 4581 5098 7647 9162 9983 15294 19966 22941 29949 34103 45882 59898 68206 75841 89847 102309 151682 170783 179694 204618 227523 306927 341566 379801 455046 512349 613854 682569 759602 1024698 1139403 1297441 1365138 1537047 2278806 2594882 3074094 3418209 3892323 5081347 6836418 7784646 10162694 11676969 15244041 23353938 25446667 30488082 45732123 50893334 76340001 86928547 91464246 152680002 173857094 193318709 229020003 260785641 386637418 458040006 521571282 579956127 782356923 1159912254 1564713846 1739868381 3479736762 12952353503 25904707006 38857060509 77714121018 116571181527 233142363054