Search a number
-
+
164629622070 = 23453126924373
BaseRepresentation
bin1001100101010010110…
…0001010110100110110
3120201221022200022120000
42121110230022310312
510144130140401240
6203344012052130
714615450461434
oct2312454126466
9521838608500
10164629622070
1163901147801
1227aa6164046
13126a8458b74
147d7a721d54
154438132430
hex2654b0ad36

164629622070 has 160 divisors (see below), whose sum is σ = 458667982080. Its totient is φ = 42325390080.

The previous prime is 164629622033. The next prime is 164629622071. The reversal of 164629622070 is 70226926461.

164629622070 is a `hidden beast` number, since 16 + 4 + 6 + 2 + 9 + 622 + 0 + 7 + 0 = 666.

It is a super-2 number, since 2×1646296220702 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164629622071) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 6742404 + ... + 6766776.

It is an arithmetic number, because the mean of its divisors is an integer number (2866674888).

Almost surely, 2164629622070 is an apocalyptic number.

164629622070 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 164629622070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229333991040).

164629622070 is an abundant number, since it is smaller than the sum of its proper divisors (294038360010).

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

164629622070 is a wasteful number, since it uses less digits than its factorization.

164629622070 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24692 (or 24683 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 164629622070 in words is "one hundred sixty-four billion, six hundred twenty-nine million, six hundred twenty-two thousand, seventy".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 31 45 54 62 81 90 93 135 155 162 186 269 270 279 310 405 465 538 558 807 810 837 930 1345 1395 1614 1674 2421 2511 2690 2790 4035 4185 4842 5022 7263 8070 8339 8370 12105 12555 14526 16678 21789 24210 24373 25017 25110 36315 41695 43578 48746 50034 72630 73119 75051 83390 108945 121865 125085 146238 150102 217890 219357 225153 243730 250170 365595 375255 438714 450306 658071 675459 731190 750510 755563 1096785 1125765 1316142 1350918 1511126 1974213 2193570 2251530 2266689 3290355 3377295 3777815 3948426 4533378 6556337 6580710 6754590 6800067 7555630 9871065 11333445 13112674 13600134 19669011 19742130 20400201 22666890 32781685 34000335 39338022 40800402 59007033 61200603 65563370 68000670 98345055 102001005 118014066 122401206 177021099 196690110 203246447 204002010 295035165 306003015 354042198 406492894 531063297 590070330 609739341 612006030 885105495 1016232235 1062126594 1219478682 1770210990 1829218023 2032464470 2655316485 3048696705 3658436046 5310632970 5487654069 6097393410 9146090115 10975308138 16462962207 18292180230 27438270345 32925924414 54876540690 82314811035 164629622070