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11886668676 = 22386732
BaseRepresentation
bin10110001001000000…
…00010101110000100
31010200101212100000000
423010200002232010
5143320441344201
65243300321300
7600364005501
oct130440025604
933611770000
1011886668676
11504a795123
1223789a3230
13117583407c
1480a95a4a8
15498835d86
hex2c4802b84

11886668676 has 81 divisors (see below), whose sum is σ = 31247349861. Its totient is φ = 3956335488.

The previous prime is 11886668671. The next prime is 11886668693. The reversal of 11886668676 is 67686668811.

The square root of 11886668676 is 109026.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 3890016900 + 7996651776 = 62370^2 + 89424^2 .

It is a tau number, because it is divible by the number of its divisors (81).

It is not an unprimeable number, because it can be changed into a prime (11886668671) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 17661876 + ... + 17662548.

Almost surely, 211886668676 is an apocalyptic number.

11886668676 is the 109026-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11886668676

11886668676 is an abundant number, since it is smaller than the sum of its proper divisors (19360681185).

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

11886668676 is an frugal number, since it uses more digits than its factorization.

11886668676 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1374 (or 678 counting only the distinct ones).

The product of its digits is 27869184, while the sum is 63.

The spelling of 11886668676 in words is "eleven billion, eight hundred eighty-six million, six hundred sixty-eight thousand, six hundred seventy-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 673 729 972 1346 1458 2019 2187 2692 2916 4038 4374 6057 6561 8076 8748 12114 13122 18171 24228 26244 36342 54513 72684 109026 163539 218052 327078 452929 490617 654156 905858 981234 1358787 1471851 1811716 1962468 2717574 2943702 4076361 4415553 5435148 5887404 8152722 8831106 12229083 16305444 17662212 24458166 36687249 48916332 73374498 110061747 146748996 220123494 330185241 440246988 660370482 990555723 1320740964 1981111446 2971667169 3962222892 5943334338 11886668676