Search a number
-
+
266105104403436 = 223247972935533673
BaseRepresentation
bin111100100000010101101100…
…001110001000101111101100
31021220012101210021001000211200
4330200111230032020233230
5234334331223211402221
62341542555231045500
7110023313361542544
oct7440255416105754
91256171707030750
10266105104403436
11778755a50a9841
1225a18b51070890
13b5637b036134c
14499d7ad088324
1520b700eee0426
hexf2056c388bec

266105104403436 has 144 divisors (see below), whose sum is σ = 696417388377984. Its totient is φ = 85626181214208.

The previous prime is 266105104403429. The next prime is 266105104403441. The reversal of 266105104403436 is 634304401501662.

266105104403436 is a `hidden beast` number, since 2 + 6 + 6 + 105 + 104 + 4 + 0 + 3 + 436 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 266105104403391 and 266105104403400.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 45321496 + ... + 50855168.

It is an arithmetic number, because the mean of its divisors is an integer number (4836231863736).

Almost surely, 2266105104403436 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 266105104403436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348208694188992).

266105104403436 is an abundant number, since it is smaller than the sum of its proper divisors (430312283974548).

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

266105104403436 is a wasteful number, since it uses less digits than its factorization.

266105104403436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5534120 (or 5534115 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 45.

The spelling of 266105104403436 in words is "two hundred sixty-six trillion, one hundred five billion, one hundred four million, four hundred three thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 18 36 47 94 97 141 188 194 282 291 293 388 423 564 582 586 846 873 879 1164 1172 1692 1746 1758 2637 3492 3516 4559 5274 9118 10548 13677 13771 18236 27354 27542 28421 41031 41313 54708 55084 56842 82062 82626 85263 113684 123939 164124 165252 170526 247878 255789 341052 495756 511578 1023156 1335787 2671574 4007361 5343148 5533673 8014722 11067346 12022083 16029444 16601019 22134692 24044166 33202038 48088332 49803057 66404076 99606114 199212228 260082631 520165262 536766281 780247893 1040330524 1073532562 1560495786 1610298843 1621366189 2147065124 2340743679 3120991572 3220597686 3242732378 4681487358 4830896529 4864098567 6441195372 6485464756 9362974716 9661793058 9728197134 14592295701 19323586116 19456394268 25228015207 29184591402 50456030414 58369182804 75684045621 76204210883 100912060828 151368091242 152408421766 157272520333 227052136863 228612632649 302736182484 304816843532 314545040666 454104273726 457225265298 471817560999 629090081332 685837897947 908208547452 914450530596 943635121998 1371675795894 1415452682997 1887270243996 2743351591788 2830905365994 5661810731988 7391808455651 14783616911302 22175425366953 29567233822604 44350850733906 66526276100859 88701701467812 133052552201718 266105104403436