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135652383785484 = 223229761186791453
BaseRepresentation
bin11110110110000000001000…
…001001100000001000001100
3122210022020111212022111020100
4132312000020021200020030
5120240012040222113414
61200301502251051100
740400363346146406
oct3666001011401014
9583266455274210
10135652383785484
113a24a942218685
121326a410a40a90
135a8cc70b75c07
14256d878d57b76
1510a396a8ee609
hex7b600826020c

135652383785484 has 144 divisors (see below), whose sum is σ = 355383447138720. Its totient is φ = 43577038955520.

The previous prime is 135652383785473. The next prime is 135652383785491. The reversal of 135652383785484 is 484587383256531.

135652383785484 is a `hidden beast` number, since 1 + 3 + 5 + 6 + 5 + 2 + 3 + 8 + 3 + 78 + 548 + 4 = 666.

It is a super-2 number, since 2×1356523837854842 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1483255902 + ... + 1483347354.

It is an arithmetic number, because the mean of its divisors is an integer number (2467940605130).

Almost surely, 2135652383785484 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135652383785484, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177691723569360).

135652383785484 is an abundant number, since it is smaller than the sum of its proper divisors (219731063353236).

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

135652383785484 is a wasteful number, since it uses less digits than its factorization.

135652383785484 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94120 (or 94115 counting only the distinct ones).

The product of its digits is 2322432000, while the sum is 72.

The spelling of 135652383785484 in words is "one hundred thirty-five trillion, six hundred fifty-two billion, three hundred eighty-three million, seven hundred eighty-five thousand, four hundred eighty-four".

Divisors: 1 2 3 4 6 9 12 18 29 36 58 87 116 174 261 348 522 761 1044 1522 1867 2283 3044 3734 4566 5601 6849 7468 9132 11202 13698 16803 22069 22404 27396 33606 44138 54143 66207 67212 88276 91453 108286 132414 162429 182906 198621 216572 264828 274359 324858 365812 397242 487287 548718 649716 794484 823077 974574 1097436 1420787 1646154 1949148 2652137 2841574 3292308 4262361 5304274 5683148 7956411 8524722 10608548 12787083 15912822 17049444 23869233 25574166 31825644 41202823 47738466 51148332 69595733 82405646 95476932 123608469 139191466 164811292 170742751 208787199 247216938 278382932 341485502 370825407 417574398 494433876 512228253 626361597 682971004 741650814 835148796 1024456506 1252723194 1483301628 1536684759 2018276257 2048913012 2505446388 3073369518 4036552514 4951539779 6054828771 6146739036 8073105028 9903079558 12109657542 14854619337 18164486313 19806159116 24219315084 29709238674 36328972626 44563858011 59418477348 72657945252 89127716022 129935233511 178255432044 259870467022 389805700533 519740934044 779611401066 1169417101599 1559222802132 2338834203198 3768121771819 4677668406396 7536243543638 11304365315457 15072487087276 22608730630914 33913095946371 45217461261828 67826191892742 135652383785484