Search a number
-
+
168319189116 = 223213418998563
BaseRepresentation
bin1001110011000010011…
…0110000000001111100
3121002110110020202001100
42130300212300001330
510224204203022431
6205154052213100
715106051333611
oct2346046600174
9532413222040
10168319189116
1165424881071
122875590a190
1312b45968b30
14820a748508
1545a1ed74e6
hex27309b007c

168319189116 has 144 divisors (see below), whose sum is σ = 474656626080. Its totient is φ = 49959106560.

The previous prime is 168319189079. The next prime is 168319189117. The reversal of 168319189116 is 611981913861.

It is a happy number.

It is a super-3 number, since 3×1683191891163 (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (168319189117) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1658451 + ... + 1757013.

It is an arithmetic number, because the mean of its divisors is an integer number (3296226570).

Almost surely, 2168319189116 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 168319189116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237328313040).

168319189116 is an abundant number, since it is smaller than the sum of its proper divisors (306337436964).

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

168319189116 is a wasteful number, since it uses less digits than its factorization.

168319189116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98716 (or 98711 counting only the distinct ones).

The product of its digits is 559872, while the sum is 54.

It can be divided in two parts, 168319 and 189116, that added together give a triangular number (357435 = T845).

The spelling of 168319189116 in words is "one hundred sixty-eight billion, three hundred nineteen million, one hundred eighty-nine thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 41 52 78 82 89 117 123 156 164 178 234 246 267 356 369 468 492 533 534 738 801 1066 1068 1157 1476 1599 1602 2132 2314 3198 3204 3471 3649 4628 4797 6396 6942 7298 9594 10413 10947 13884 14596 19188 20826 21894 32841 41652 43788 47437 65682 94874 98563 131364 142311 189748 197126 284622 295689 394252 426933 569244 591378 853866 887067 1182756 1281319 1707732 1774134 2562638 3548268 3843957 4041083 5125276 7687914 8082166 8772107 11531871 12123249 15375828 16164332 17544214 23063742 24246498 26316321 35088428 36369747 46127484 48492996 52534079 52632642 72739494 78948963 105068158 105265284 114037391 145478988 157602237 157897926 210136316 228074782 315204474 315795852 342112173 359656387 456149564 472806711 630408948 684224346 719312774 945613422 1026336519 1078969161 1368448692 1438625548 1891226844 2052673038 2157938322 3236907483 4105346076 4315876644 4675533031 6473814966 9351066062 12947629932 14026599093 18702132124 28053198186 42079797279 56106396372 84159594558 168319189116