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13864122162 = 234112294
BaseRepresentation
bin11001110100101110…
…11011011100110010
31022210012210101020000
430322113123130302
5211343203402122
610211420130430
71000365044142
oct147227333462
938705711200
1013864122162
115974a32200
12282b096a16
1313cc415ba7
14957426922
155622430ac
hex33a5db732

13864122162 has 150 divisors (see below), whose sum is σ = 35366346939. Its totient is φ = 4056378480.

The previous prime is 13864122131. The next prime is 13864122163. The reversal of 13864122162 is 26122146831.

It is a happy number.

13864122162 is a `hidden beast` number, since 1 + 3 + 8 + 641 + 2 + 2 + 1 + 6 + 2 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 7607153961 + 6256968201 = 87219^2 + 79101^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=83259.

It is not an unprimeable number, because it can be changed into a prime (13864122163) by changing a digit.

It is a polite number, since it can be written in 74 ways as a sum of consecutive naturals, for example, 478073164 + ... + 478073192.

Almost surely, 213864122162 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13864122162

13864122162 is an abundant number, since it is smaller than the sum of its proper divisors (21502224777).

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

13864122162 is an frugal number, since it uses more digits than its factorization.

13864122162 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 45 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

Adding to 13864122162 its reverse (26122146831), we get a palindrome (39986268993).

The spelling of 13864122162 in words is "thirteen billion, eight hundred sixty-four million, one hundred twenty-two thousand, one hundred sixty-two".

Divisors: 1 2 3 6 9 11 18 22 27 29 33 54 58 66 81 87 99 121 162 174 198 242 261 297 319 363 522 594 638 726 783 841 891 957 1089 1566 1682 1782 1914 2178 2349 2523 2871 3267 3509 4698 5046 5742 6534 7018 7569 8613 9251 9801 10527 15138 17226 18502 19602 21054 22707 24389 25839 27753 31581 45414 48778 51678 55506 63162 68121 73167 83259 94743 101761 136242 146334 166518 189486 203522 219501 249777 268279 284229 305283 439002 499554 536558 568458 610566 658503 707281 749331 804837 915849 1317006 1414562 1498662 1609674 1831698 1975509 2121843 2414511 2747547 2951069 3951018 4243686 4829022 5495094 5902138 6365529 7243533 7780091 8242641 8853207 12731058 14487066 15560182 16485282 17706414 19096587 21730599 23340273 26559621 38193174 43461198 46680546 53119242 57289761 70020819 79678863 85581001 114579522 140041638 159357726 171162002 210062457 239036589 256743003 420124914 478073178 513486006 630187371 770229009 1260374742 1540458018 2310687027 4621374054 6932061081 13864122162