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13026682224 = 2433238914731
BaseRepresentation
bin11000010000111001…
…10110010101110000
31020121212000000121000
430020130312111300
5203134312312344
65552343002000
7640545654243
oct141034662560
936555000530
1013026682224
11558524a186
122636739300
1312c7a847ba
148b811325a
15513972a69
hex308736570

13026682224 has 160 divisors (see below), whose sum is σ = 39458188800. Its totient is φ = 4106488320.

The previous prime is 13026682223. The next prime is 13026682243. The reversal of 13026682224 is 42228662031.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13026682223) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 876939 + ... + 891669.

It is an arithmetic number, because the mean of its divisors is an integer number (246613680).

Almost surely, 213026682224 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 13026682224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19729094400).

13026682224 is an abundant number, since it is smaller than the sum of its proper divisors (26431506576).

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

13026682224 is a wasteful number, since it uses less digits than its factorization.

13026682224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14860 (or 14848 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 13026682224 in words is "thirteen billion, twenty-six million, six hundred eighty-two thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 36 46 48 54 69 72 89 92 108 138 144 178 184 207 216 267 276 356 368 414 432 534 552 621 712 801 828 1068 1104 1242 1424 1602 1656 2047 2136 2403 2484 3204 3312 4094 4272 4806 4968 6141 6408 8188 9612 9936 12282 12816 14731 16376 18423 19224 24564 29462 32752 36846 38448 44193 49128 55269 58924 73692 88386 98256 110538 117848 132579 147384 176772 221076 235696 265158 294768 338813 353544 397737 442152 530316 677626 707088 795474 884304 1016439 1060632 1311059 1355252 1590948 2032878 2121264 2622118 2710504 3049317 3181896 3933177 4065756 5244236 5421008 6098634 6363792 7866354 8131512 9147951 10488472 11799531 12197268 15732708 16263024 18295902 20976944 23599062 24394536 30154357 31465416 35398593 36591804 47198124 48789072 60308714 62930832 70797186 73183608 90463071 94396248 120617428 141594372 146367216 180926142 188792496 241234856 271389213 283188744 361852284 482469712 542778426 566377488 723704568 814167639 1085556852 1447409136 1628335278 2171113704 3256670556 4342227408 6513341112 13026682224