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164536011432 = 233213315670527
BaseRepresentation
bin1001100100111100011…
…1000100101010101000
3120201200210112101220100
42121033013010222220
510143432204331212
6203330425425400
714613233010222
oct2311707045250
9521623471810
10164536011432
116386331a741
1227a7a93b260
1312691c41660
147d6c115412
15442ece0bdc
hex264f1c4aa8

164536011432 has 96 divisors (see below), whose sum is σ = 495377326080. Its totient is φ = 48993344640.

The previous prime is 164536011413. The next prime is 164536011439. The reversal of 164536011432 is 234110635461.

164536011432 is a `hidden beast` number, since 1 + 6 + 4 + 5 + 3 + 601 + 1 + 43 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (164536011439) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2806248 + ... + 2864279.

It is an arithmetic number, because the mean of its divisors is an integer number (5160180480).

Almost surely, 2164536011432 is an apocalyptic number.

164536011432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

164536011432 is an abundant number, since it is smaller than the sum of its proper divisors (330841314648).

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

164536011432 is a wasteful number, since it uses less digits than its factorization.

164536011432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5670583 (or 5670576 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

Adding to 164536011432 its reverse (234110635461), we get a palindrome (398646646893).

The spelling of 164536011432 in words is "one hundred sixty-four billion, five hundred thirty-six million, eleven thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 31 36 39 52 62 72 78 93 104 117 124 156 186 234 248 279 312 372 403 468 558 744 806 936 1116 1209 1612 2232 2418 3224 3627 4836 7254 9672 14508 29016 5670527 11341054 17011581 22682108 34023162 45364216 51034743 68046324 73716851 102069486 136092648 147433702 175786337 204138972 221150553 294867404 351572674 408277944 442301106 527359011 589734808 663451659 703145348 884602212 1054718022 1326903318 1406290696 1582077033 1769204424 2109436044 2285222381 2653806636 3164154066 4218872088 4570444762 5307613272 6328308132 6855667143 9140889524 12656616264 13711334286 18281779048 20567001429 27422668572 41134002858 54845337144 82268005716 164536011432