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135092624280 = 233519232576137
BaseRepresentation
bin111110111010000100…
…1011101101110011000
3110220200211121100210220
41331310021131232120
54203132202434110
6142021035440040
712521502234315
oct1756411355630
9426624540726
10135092624280
11523242a0129
12222222b6020
13c97bc93993
14677799bd0c
1537a9eb4370
hex1f7425db98

135092624280 has 128 divisors (see below), whose sum is σ = 445156646400. Its totient is φ = 32644795392.

The previous prime is 135092624273. The next prime is 135092624297. The reversal of 135092624280 is 82426290531.

135092624280 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 an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1235629 + ... + 1340508.

It is an arithmetic number, because the mean of its divisors is an integer number (3477786300).

Almost surely, 2135092624280 is an apocalyptic number.

135092624280 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135092624280 is an abundant number, since it is smaller than the sum of its proper divisors (310064022120).

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

135092624280 is a wasteful number, since it uses less digits than its factorization.

135092624280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2576193 (or 2576189 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 42.

The spelling of 135092624280 in words is "one hundred thirty-five billion, ninety-two million, six hundred twenty-four thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 23 24 30 38 40 46 57 60 69 76 92 95 114 115 120 138 152 184 190 228 230 276 285 345 380 437 456 460 552 570 690 760 874 920 1140 1311 1380 1748 2185 2280 2622 2760 3496 4370 5244 6555 8740 10488 13110 17480 26220 52440 2576137 5152274 7728411 10304548 12880685 15456822 20609096 25761370 30913644 38642055 48946603 51522740 59251151 61827288 77284110 97893206 103045480 118502302 146839809 154568220 177753453 195786412 237004604 244733015 293679618 296255755 309136440 355506906 391572824 474009208 489466030 587359236 592511510 711013812 734199045 888767265 978932060 1125771869 1174718472 1185023020 1422027624 1468398090 1777534530 1957864120 2251543738 2370046040 2936796180 3377315607 3555069060 4503087476 5628859345 5873592360 6754631214 7110138120 9006174952 11257718690 13509262428 16886578035 22515437380 27018524856 33773156070 45030874760 67546312140 135092624280