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135681056571042 = 2351723714013117
BaseRepresentation
bin11110110110011010110101…
…001011011111111010100010
3122210101222112010012220200000
4132312122311023133322202
5120240444300440233132
61200323003352240430
740402430031620403
oct3666326513377242
9583358463186600
10135681056571042
113a261016266874
1213273a933a0116
135a92890294c08
142570dd8dd99aa
1510a4597c5e87c
hex7b66b52dfea2

135681056571042 has 96 divisors (see below), whose sum is σ = 336831404337792. Its totient is φ = 40715883926784.

The previous prime is 135681056571029. The next prime is 135681056571079. The reversal of 135681056571042 is 240175650186531.

135681056571042 is a `hidden beast` number, since 1 + 3 + 5 + 6 + 8 + 1 + 0 + 565 + 71 + 0 + 4 + 2 = 666.

It is a super-2 number, since 2×1356810565710422 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 135681056571042.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 356816533 + ... + 357196584.

It is an arithmetic number, because the mean of its divisors is an integer number (3508660461852).

Almost surely, 2135681056571042 is an apocalyptic number.

135681056571042 is an abundant number, since it is smaller than the sum of its proper divisors (201150347766750).

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

135681056571042 is a wasteful number, since it uses less digits than its factorization.

135681056571042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 714013174 (or 714013162 counting only the distinct ones).

The product of its (nonzero) digits is 6048000, while the sum is 54.

The spelling of 135681056571042 in words is "one hundred thirty-five trillion, six hundred eighty-one billion, fifty-six million, five hundred seventy-one thousand, forty-two".

Divisors: 1 2 3 6 9 17 18 23 27 34 46 51 54 69 81 102 138 153 162 207 243 306 391 414 459 486 621 782 918 1173 1242 1377 1863 2346 2754 3519 3726 4131 5589 7038 8262 10557 11178 21114 31671 63342 95013 190026 714013117 1428026234 2142039351 4284078702 6426118053 12138222989 12852236106 16422301691 19278354159 24276445978 32844603382 36414668967 38556708318 49266905073 57835062477 72829337934 98533810146 109244006901 115670124954 147800715219 173505187431 218488013802 279179128747 295601430438 327732020703 347010374862 443402145657 558358257494 655464041406 837537386241 886804291314 983196062109 1330206436971 1675074772482 1966392124218 2512612158723 2660412873942 2949588186327 3990619310913 5025224317446 5899176372654 7537836476169 7981238621826 15075672952338 22613509428507 45227018857014 67840528285521 135681056571042