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42433146661653 = 3211251977497641
BaseRepresentation
bin10011010010111101111001…
…01000100010101100010101
312120020120100221122002221200
421221132330220202230111
521030211041021133103
6230125303553303113
711636456634321246
oct1151367450425425
9176216327562850
1042433146661653
111257a884073800
1249139b2b64a99
131a8a575717017
14a69abd438ccd
154d8bb45d10a3
hex2697bca22b15

42433146661653 has 36 divisors (see below), whose sum is σ = 67383872847564. Its totient is φ = 25712106710400.

The previous prime is 42433146661627. The next prime is 42433146661727. The reversal of 42433146661653 is 35616664133424.

42433146661653 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 22435587970884 + 19997558690769 = 4736622^2 + 4471863^2 .

It is not a de Polignac number, because 42433146661653 - 214 = 42433146645269 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 42433146661653.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42433146661603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1910713 + ... + 9408353.

Almost surely, 242433146661653 is an apocalyptic number.

It is an amenable number.

42433146661653 is a deficient number, since it is larger than the sum of its proper divisors (24950726185911).

42433146661653 is a wasteful number, since it uses less digits than its factorization.

42433146661653 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7502866 (or 7502852 counting only the distinct ones).

The product of its digits is 22394880, while the sum is 54.

The spelling of 42433146661653 in words is "forty-two trillion, four hundred thirty-three billion, one hundred forty-six million, six hundred sixty-one thousand, six hundred fifty-three".

Divisors: 1 3 9 11 33 99 121 363 1089 5197 15591 46773 57167 171501 514503 628837 1886511 5659533 7497641 22492923 67478769 82474051 247422153 742266459 907214561 2721643683 8164931049 38965240277 116895720831 350687162493 428617643047 1285852929141 3857558787423 4714794073517 14144382220551 42433146661653