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10655007066 = 23211434726627
BaseRepresentation
bin10011110110001011…
…01000000101011010
31000111120021102220100
421323011220011122
5133310140211231
64521141440230
7525020031354
oct117305500532
930446242810
1010655007066
114578523570
122094410076
13100a605512
147311480d4
154256441e6
hex27b16815a

10655007066 has 96 divisors (see below), whose sum is σ = 26319541248. Its totient is φ = 3086485920.

The previous prime is 10655007037. The next prime is 10655007089. The reversal of 10655007066 is 66070055601.

It is a happy number.

It is a super-2 number, since 2×106550070662 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10655007066.

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, 386845 + ... + 413471.

It is an arithmetic number, because the mean of its divisors is an integer number (274161888).

Almost surely, 210655007066 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10655007066, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13159770624).

10655007066 is an abundant number, since it is smaller than the sum of its proper divisors (15664534182).

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

10655007066 is a wasteful number, since it uses less digits than its factorization.

10655007066 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26736 (or 26733 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The spelling of 10655007066 in words is "ten billion, six hundred fifty-five million, seven thousand, sixty-six".

Divisors: 1 2 3 6 9 11 18 22 33 43 47 66 86 94 99 129 141 198 258 282 387 423 473 517 774 846 946 1034 1419 1551 2021 2838 3102 4042 4257 4653 6063 8514 9306 12126 18189 22231 26627 36378 44462 53254 66693 79881 133386 159762 200079 239643 292897 400158 479286 585794 878691 1144961 1251469 1757382 2289922 2502938 2636073 3434883 3754407 5272146 6869766 7508814 10304649 11263221 12594571 13766159 20609298 22526442 25189142 27532318 37783713 41298477 53813167 75567426 82596954 107626334 113351139 123895431 161439501 226702278 247790862 322879002 484318503 591944837 968637006 1183889674 1775834511 3551669022 5327503533 10655007066