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164312634234 = 23727122133557
BaseRepresentation
bin1001100100000111001…
…0111101001101111010
3120201010020012122222210
42121001302331031322
510143003013243414
6203252325555550
714604551226600
oct2310162751572
9521106178883
10164312634234
1163759220091
1227a17b75bb6
13126578909b8
147d4a5a9870
15441a3b9e59
hex2641cbd37a

164312634234 has 96 divisors (see below), whose sum is σ = 387946786176. Its totient is φ = 46251327360.

The previous prime is 164312634209. The next prime is 164312634247. The reversal of 164312634234 is 432436213461.

It is a junction number, because it is equal to n+sod(n) for n = 164312634192 and 164312634201.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 46192384 + ... + 46195940.

It is an arithmetic number, because the mean of its divisors is an integer number (4041112356).

Almost surely, 2164312634234 is an apocalyptic number.

164312634234 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 164312634234, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193973393088).

164312634234 is an abundant number, since it is smaller than the sum of its proper divisors (223634151942).

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

164312634234 is a wasteful number, since it uses less digits than its factorization.

164312634234 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5860 (or 5853 counting only the distinct ones).

The product of its digits is 248832, while the sum is 39.

Adding to 164312634234 its reverse (432436213461), we get a palindrome (596748847695).

The spelling of 164312634234 in words is "one hundred sixty-four billion, three hundred twelve million, six hundred thirty-four thousand, two hundred thirty-four".

Divisors: 1 2 3 6 7 14 21 42 49 71 98 142 147 213 294 426 497 994 1491 2213 2982 3479 3557 4426 6639 6958 7114 10437 10671 13278 15491 20874 21342 24899 30982 46473 49798 74697 92946 108437 149394 157123 174293 216874 252547 314246 325311 348586 471369 505094 522879 650622 757641 942738 1045758 1099861 1515282 1767829 2199722 3299583 3535658 5303487 6599166 7699027 7871641 10606974 12374803 15398054 15743282 23097081 23614923 24749606 37124409 46194162 47229846 55101487 74248818 110202974 165304461 330608922 385710409 558886511 771420818 1117773022 1157131227 1676659533 2314262454 3353319066 3912205577 7824411154 11736616731 23473233462 27385439039 54770878078 82156317117 164312634234