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266656416 = 25313434969
BaseRepresentation
bin11111110010011…
…01101010100000
3200120202112211120
433321031222200
51021231001131
642243212240
76415353645
oct1771155240
9616675746
10266656416
1112757aa04
1275377080
1343324c80
14275b3dcc
1518624496
hexfe4daa0

266656416 has 96 divisors (see below), whose sum is σ = 771503040. Its totient is φ = 80123904.

The previous prime is 266656387. The next prime is 266656417. The reversal of 266656416 is 614656662.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×2666564162 = 142211288387930112, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (266656417) 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, 51180 + ... + 56148.

It is an arithmetic number, because the mean of its divisors is an integer number (8036490).

Almost surely, 2266656416 is an apocalyptic number.

266656416 is a gapful number since it is divisible by the number (26) 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 266656416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (385751520).

266656416 is an abundant number, since it is smaller than the sum of its proper divisors (504846624).

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

266656416 is a wasteful number, since it uses less digits than its factorization.

266656416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5038 (or 5030 counting only the distinct ones).

The product of its digits is 311040, while the sum is 42.

The square root of 266656416 is about 16329.6177542525. The cubic root of 266656416 is about 643.6513422065.

The spelling of 266656416 in words is "two hundred sixty-six million, six hundred fifty-six thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 43 48 52 78 86 96 104 129 156 172 208 258 312 344 416 516 559 624 688 1032 1118 1248 1376 1677 2064 2236 3354 4128 4472 4969 6708 8944 9938 13416 14907 17888 19876 26832 29814 39752 53664 59628 64597 79504 119256 129194 159008 193791 213667 238512 258388 387582 427334 477024 516776 641001 775164 854668 1033552 1282002 1550328 1709336 2067104 2564004 2777671 3100656 3418672 5128008 5555342 6201312 6837344 8333013 10256016 11110684 16666026 20512032 22221368 33332052 44442736 66664104 88885472 133328208 266656416