Search a number
-
+
13242626677764 = 2234112183792
BaseRepresentation
bin1100000010110100101000…
…0011110001110000000100
31201212222112102101210210000
43000231022003301300010
53213431344412142024
644055325000201300
72534514430341021
oct300551203616004
951788472353700
1013242626677764
114246191585900
12159a614a69230
13750a0b2b0833
1433ad3749c548
1517e70eee2cc9
hexc0b4a0f1c04

13242626677764 has 135 divisors (see below), whose sum is σ = 38054186071671. Its totient is φ = 4012698832560.

The previous prime is 13242626677741. The next prime is 13242626677781. The reversal of 13242626677764 is 46777662624231.

The square root of 13242626677764 is 3639042.

It is a perfect power (a square), and thus also a powerful number.

13242626677764 is a `hidden beast` number, since 1 + 3 + 2 + 426 + 26 + 67 + 77 + 64 = 666.

It is a super-2 number, since 2×132426266777642 (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 720521127 + ... + 720539505.

Almost surely, 213242626677764 is an apocalyptic number.

13242626677764 is the 3639042-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13242626677764

13242626677764 is an abundant number, since it is smaller than the sum of its proper divisors (24811559393907).

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

13242626677764 is an frugal number, since it uses more digits than its factorization.

13242626677764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36796 (or 18395 counting only the distinct ones).

The product of its digits is 170698752, while the sum is 63.

The spelling of 13242626677764 in words is "thirteen trillion, two hundred forty-two billion, six hundred twenty-six million, six hundred seventy-seven thousand, seven hundred sixty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 81 99 108 121 132 162 198 242 297 324 363 396 484 594 726 891 1089 1188 1452 1782 2178 3267 3564 4356 6534 9801 13068 18379 19602 36758 39204 55137 73516 110274 165411 202169 220548 330822 404338 496233 606507 661644 808676 992466 1213014 1488699 1819521 1984932 2223859 2426028 2977398 3639042 4447718 5458563 5954796 6671577 7278084 8895436 10917126 13343154 16375689 20014731 21834252 26686308 32751378 40029462 60044193 65502756 80058924 120088386 180132579 240176772 337787641 360265158 675575282 720530316 1013362923 1351150564 2026725846 3040088769 3715664051 4053451692 6080177538 7431328102 9120266307 11146992153 12160355076 14862656204 18240532614 22293984306 27360798921 33440976459 36481065228 40872304561 44587968612 54721597842 66881952918 81744609122 100322929377 109443195684 122616913683 133763905836 163489218244 200645858754 245233827366 300968788131 367850741049 401291717508 490467654732 601937576262 735701482098 1103552223147 1203875152524 1471402964196 2207104446294 3310656669441 4414208892588 6621313338882 13242626677764