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53345142345 = 351142359179
BaseRepresentation
bin110001101011100111…
…100100011001001001
312002200201022000020210
4301223213210121021
51333222324023340
640301215311333
73565641141225
oct615347443111
9162621260223
1053345142345
1120694a40000
12a40921b549
135051ac93b1
142820adb785
1515c33b3180
hexc6b9e4649

53345142345 has 160 divisors (see below), whose sum is σ = 100185984000. Its totient is φ = 24184589440.

The previous prime is 53345142341. The next prime is 53345142421. The reversal of 53345142345 is 54324154335.

53345142345 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 53345142345 - 22 = 53345142341 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (53345142341) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 298017466 + ... + 298017644.

It is an arithmetic number, because the mean of its divisors is an integer number (626162400).

Almost surely, 253345142345 is an apocalyptic number.

53345142345 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

53345142345 is a deficient number, since it is larger than the sum of its proper divisors (46840841655).

53345142345 is a wasteful number, since it uses less digits than its factorization.

53345142345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313 (or 280 counting only the distinct ones).

The product of its digits is 432000, while the sum is 39.

The spelling of 53345142345 in words is "fifty-three billion, three hundred forty-five million, one hundred forty-two thousand, three hundred forty-five".

Divisors: 1 3 5 11 15 23 33 55 59 69 115 121 165 177 179 253 295 345 363 537 605 649 759 885 895 1265 1331 1357 1815 1947 1969 2685 2783 3245 3795 3993 4071 4117 5907 6655 6785 7139 8349 9735 9845 10561 12351 13915 14641 14927 19965 20355 20585 21417 21659 29535 30613 31683 35695 41745 43923 44781 45287 52805 61755 64977 73205 74635 78529 91839 107085 108295 116171 135861 153065 158415 164197 219615 223905 226435 235587 238249 242903 324885 336743 348513 392645 459195 492591 498157 580855 679305 714747 728709 820985 863819 1010229 1177935 1191245 1214515 1277881 1494471 1683715 1742565 1806167 2462955 2490785 2591457 2620739 2671933 3573735 3643545 3833643 4319095 5051145 5418501 5479727 6389405 7472355 7862217 8015799 9030835 12957285 13103695 13359665 14056691 16439181 19168215 19867837 27092505 27398635 29391263 39311085 40078995 42170073 59603511 60276997 70283455 82195905 88173789 99339185 146956315 154623601 180830991 210850365 298017555 301384985 323303893 440868945 463870803 773118005 904154955 969911679 1616519465 2319354015 3556342823 4849558395 10669028469 17781714115 53345142345