Search a number
-
+
164578076436 = 2232913715122861
BaseRepresentation
bin1001100101000110011…
…1100010011100010100
3120201210201200112020110
42121101213202130110
510144023441421221
6203334531203020
714614253365554
oct2312147423424
9521721615213
10164578076436
1163885040804
1227a90a46470
131269a87c0a7
147d73945164
15443384e776
hex26519e2714

164578076436 has 96 divisors (see below), whose sum is σ = 402824782080. Its totient is φ = 52230528000.

The previous prime is 164578076431. The next prime is 164578076441. The reversal of 164578076436 is 634670875461.

It is an interprime number because it is at equal distance from previous prime (164578076431) and next prime (164578076441).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164578076431) 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 31 ways as a sum of consecutive naturals, for example, 7187646 + ... + 7210506.

It is an arithmetic number, because the mean of its divisors is an integer number (4196091480).

Almost surely, 2164578076436 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 164578076436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201412391040).

164578076436 is an abundant number, since it is smaller than the sum of its proper divisors (238246705644).

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

164578076436 is a wasteful number, since it uses less digits than its factorization.

164578076436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23185 (or 23183 counting only the distinct ones).

The product of its (nonzero) digits is 20321280, while the sum is 57.

The spelling of 164578076436 in words is "one hundred sixty-four billion, five hundred seventy-eight million, seventy-six thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 12 29 58 87 116 137 151 174 274 302 348 411 453 548 604 822 906 1644 1812 3973 4379 7946 8758 11919 13137 15892 17516 20687 22861 23838 26274 41374 45722 47676 52548 62061 68583 82748 91444 124122 137166 248244 274332 599923 662969 1199846 1325938 1799769 1988907 2399692 2651876 3131957 3452011 3599538 3977814 6263914 6904022 7199076 7955628 9395871 10356033 12527828 13808044 18791742 20712066 37583484 41424132 90826753 100108319 181653506 200216638 272480259 300324957 363307012 400433276 472925507 544960518 600649914 945851014 1089921036 1201299828 1418776521 1891702028 2837553042 5675106084 13714839703 27429679406 41144519109 54859358812 82289038218 164578076436