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253315160406 = 233711431416799
BaseRepresentation
bin1110101111101011000…
…0101001100101010110
3220012211222011110021000
43223322300221211112
513122242140113111
6312212115004130
724205246223310
oct3537260514526
9805758143230
10253315160406
1198480893340
1241116899646
131ab6cb4b879
14c390c167b0
1568c8db3c56
hex3afac29956

253315160406 has 128 divisors (see below), whose sum is σ = 718147584000. Its totient is φ = 64265957280.

The previous prime is 253315160389. The next prime is 253315160407. The reversal of 253315160406 is 604061513352.

253315160406 is a `hidden beast` number, since 2 + 5 + 33 + 15 + 1 + 604 + 0 + 6 = 666.

253315160406 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253315160407) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 529606 + ... + 887193.

It is an arithmetic number, because the mean of its divisors is an integer number (5610528000).

Almost surely, 2253315160406 is an apocalyptic number.

253315160406 is an abundant number, since it is smaller than the sum of its proper divisors (464832423594).

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

253315160406 is a wasteful number, since it uses less digits than its factorization.

253315160406 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1416871 (or 1416865 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

Adding to 253315160406 its reverse (604061513352), we get a palindrome (857376673758).

The spelling of 253315160406 in words is "two hundred fifty-three billion, three hundred fifteen million, one hundred sixty thousand, four hundred six".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 27 33 42 43 54 63 66 77 86 99 126 129 154 189 198 231 258 297 301 378 387 462 473 594 602 693 774 903 946 1161 1386 1419 1806 2079 2322 2709 2838 3311 4158 4257 5418 6622 8127 8514 9933 12771 16254 19866 25542 29799 59598 89397 178794 1416799 2833598 4250397 8500794 9917593 12751191 15584789 19835186 25502382 29752779 31169578 38253573 46754367 59505558 60922357 76507146 89258337 93508734 109093523 121844714 140263101 178516674 182767071 218187046 267775011 280526202 327280569 365534142 420789303 426456499 535550022 548301213 654561138 670145927 841578606 852912998 981841707 1096602426 1279369497 1340291854 1644903639 1963683414 2010437781 2558738994 2945525121 3289807278 3838108491 4020875562 4691021489 5891050242 6031313343 7676216982 9382042978 11514325473 12062626686 14073064467 18093940029 23028650946 28146128934 36187880058 42219193401 84438386802 126657580203 253315160406