Search a number
-
+
266734070442 = 23372625716111
BaseRepresentation
bin1111100001101010010…
…1101110101010101010
3221111111011012201021000
43320122211232222222
513332232410223232
6322311432455430
725161630122100
oct3703245565252
9844434181230
10266734070442
11a313747a034
124384084a576
131c1cac53118
14cca5069c70
156e11eb227c
hex3e1a96eaaa

266734070442 has 96 divisors (see below), whose sum is σ = 689669648640. Its totient is φ = 76192824960.

The previous prime is 266734070423. The next prime is 266734070459. The reversal of 266734070442 is 244070437662.

266734070442 is a `hidden beast` number, since 266 + 7 + 340 + 7 + 0 + 4 + 42 = 666.

It is a super-2 number, since 2×2667340704422 (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16547967 + ... + 16564077.

It is an arithmetic number, because the mean of its divisors is an integer number (7184058840).

Almost surely, 2266734070442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 266734070442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344834824320).

266734070442 is an abundant number, since it is smaller than the sum of its proper divisors (422935578198).

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

266734070442 is a wasteful number, since it uses less digits than its factorization.

266734070442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22393 (or 22380 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 45.

The spelling of 266734070442 in words is "two hundred sixty-six billion, seven hundred thirty-four million, seventy thousand, four hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 49 54 63 98 126 147 189 294 378 441 882 1323 2646 6257 12514 16111 18771 32222 37542 43799 48333 56313 87598 96666 112626 112777 131397 144999 168939 225554 262794 289998 306593 337878 338331 394191 434997 613186 676662 788382 789439 869994 919779 1014993 1182573 1578878 1839558 2029986 2365146 2368317 2759337 3044979 4736634 5518674 6089958 7104951 8278011 14209902 16556022 21314853 42629706 100806527 201613054 302419581 604839162 705645689 907258743 1411291378 1814517486 2116937067 2721776229 4233874134 4939519823 5443552458 6350811201 9879039646 12701622402 14818559469 19052433603 29637118938 38104867206 44455678407 88911356814 133367035221 266734070442