Search a number
-
+
1066677266656 = 251710121192009
BaseRepresentation
bin11111000010110101110…
…10110110100011100000
310202222021120110112002201
433201122322312203200
5114434023340013111
62134005203422544
7140031154111321
oct17413272664340
93688246415081
101066677266656
11381414566251
12152890084a54
1379783201591
14398ada46448
151cb302d36c1
hexf85aeb68e0

1066677266656 has 96 divisors (see below), whose sum is σ = 2256233888160. Its totient is φ = 494635008000.

The previous prime is 1066677266651. The next prime is 1066677266701. The reversal of 1066677266656 is 6566627766601.

It is a super-2 number, since 2×10666772666562 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1066677266651) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11547180 + ... + 11639188.

It is an arithmetic number, because the mean of its divisors is an integer number (23502436335).

Almost surely, 21066677266656 is an apocalyptic number.

1066677266656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1066677266656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1128116944080).

1066677266656 is an abundant number, since it is smaller than the sum of its proper divisors (1189556621504).

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

1066677266656 is a wasteful number, since it uses less digits than its factorization.

1066677266656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92348 (or 92340 counting only the distinct ones).

The product of its (nonzero) digits is 137168640, while the sum is 64.

The spelling of 1066677266656 in words is "one trillion, sixty-six billion, six hundred seventy-seven million, two hundred sixty-six thousand, six hundred fifty-six".

Divisors: 1 2 4 8 16 17 32 34 68 101 136 202 211 272 404 422 544 808 844 1616 1688 1717 3232 3376 3434 3587 6752 6868 7174 13736 14348 21311 27472 28696 42622 54944 57392 85244 92009 114784 170488 184018 340976 362287 368036 681952 724574 736072 1449148 1472144 1564153 2898296 2944288 3128306 5796592 6256612 9292909 11593184 12513224 18585818 19413899 25026448 37171636 38827798 50052896 74343272 77655596 148686544 155311192 157979453 297373088 310622384 315958906 330036283 621244768 631917812 660072566 1263835624 1320145132 1960803799 2527671248 2640290264 3921607598 5055342496 5280580528 7843215196 10561161056 15686430392 31372860784 33333664583 62745721568 66667329166 133334658332 266669316664 533338633328 1066677266656