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2666996712 = 2333193120963
BaseRepresentation
bin1001111011110111…
…0010001111101000
320212212102110201000
42132331302033220
520430222343322
61120350555000
7123043045422
oct23675621750
96785373630
102666996712
1111494a5116
12625208a60
133366cc783
141b42c1812
151092163ac
hex9ef723e8

2666996712 has 128 divisors (see below), whose sum is σ = 8050176000. Its totient is φ = 815002560.

The previous prime is 2666996711. The next prime is 2666996713. The reversal of 2666996712 is 2176996662.

It is an interprime number because it is at equal distance from previous prime (2666996711) and next prime (2666996713).

It is a super-2 number, since 2×26669967122 = 14225742923637621888, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (2666996711) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 116743 + ... + 137705.

It is an arithmetic number, because the mean of its divisors is an integer number (62892000).

Almost surely, 22666996712 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 2666996712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4025088000).

2666996712 is an abundant number, since it is smaller than the sum of its proper divisors (5383179288).

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

2666996712 is a wasteful number, since it uses less digits than its factorization.

2666996712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21028 (or 21018 counting only the distinct ones).

The product of its digits is 2939328, while the sum is 54.

The square root of 2666996712 is about 51642.9735007581. The cubic root of 2666996712 is about 1386.7797565044.

The spelling of 2666996712 in words is "two billion, six hundred sixty-six million, nine hundred ninety-six thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 27 31 36 38 54 57 62 72 76 93 108 114 124 152 171 186 216 228 248 279 342 372 456 513 558 589 684 744 837 1026 1116 1178 1368 1674 1767 2052 2232 2356 3348 3534 4104 4712 5301 6696 7068 10602 14136 15903 20963 21204 31806 41926 42408 62889 63612 83852 125778 127224 167704 188667 251556 377334 398297 503112 566001 649853 754668 796594 1132002 1194891 1299706 1509336 1593188 1949559 2264004 2389782 2599412 3186376 3584673 3899118 4528008 4779564 5198824 5848677 7169346 7798236 9559128 10754019 11697354 12347207 14338692 15596472 17546031 21508038 23394708 24694414 28677384 35092062 37041621 43016076 46789416 49388828 70184124 74083242 86032152 98777656 111124863 140368248 148166484 222249726 296332968 333374589 444499452 666749178 888998904 1333498356 2666996712