Search a number
-
+
100016453174244 = 223194340924942779
BaseRepresentation
bin10110101111011011100101…
…001010011100001111100100
3111010010110221120212101021120
4112233123211022130033210
5101102132144003033434
6552414531351213540
730031643642622255
oct2657334512341744
9433113846771246
10100016453174244
1129960815436542
12b273a379772b0
1343a6684a6a8c9
141a9ab7202ab2c
15b869cde7e349
hex5af6e529c3e4

100016453174244 has 96 divisors (see below), whose sum is σ = 251981940672000. Its totient is φ = 30774199954176.

The previous prime is 100016453174233. The next prime is 100016453174273. The reversal of 100016453174244 is 442471354610001.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 100016453174196 and 100016453174205.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8461554 + ... + 16481225.

It is an arithmetic number, because the mean of its divisors is an integer number (2624811882000).

Almost surely, 2100016453174244 is an apocalyptic number.

It is an amenable number.

100016453174244 is an abundant number, since it is smaller than the sum of its proper divisors (151965487497756).

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

100016453174244 is a wasteful number, since it uses less digits than its factorization.

100016453174244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24943257 (or 24943255 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 42.

The spelling of 100016453174244 in words is "one hundred trillion, sixteen billion, four hundred fifty-three million, one hundred seventy-four thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 12 19 38 43 57 76 86 114 129 172 228 258 409 516 817 818 1227 1634 1636 2451 2454 3268 4902 4908 7771 9804 15542 17587 23313 31084 35174 46626 52761 70348 93252 105522 211044 334153 668306 1002459 1336612 2004918 4009836 24942779 49885558 74828337 99771116 149656674 299313348 473912801 947825602 1072539497 1421738403 1895651204 2145078994 2843476806 3217618491 4290157988 5686953612 6435236982 10201596611 12870473964 20378250443 20403193222 30604789833 40756500886 40806386444 61134751329 61209579666 81513001772 122269502658 122419159332 193830335609 244539005316 387660671218 438668654273 581491006827 775321342436 877337308546 1162982013654 1316005962819 1754674617092 2325964027308 2632011925638 5264023851276 8334704431187 16669408862374 25004113293561 33338817724748 50008226587122 100016453174244