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1066636656 = 243217941381
BaseRepresentation
bin111111100100111…
…001010101110000
32202100001202102100
4333210321111300
54141024333111
6253501420400
735301155601
oct7744712560
92670052370
101066636656
114a80a79a8
1225926a700
1313cc9bb67
14a1935da8
1563995756
hex3f939570

1066636656 has 60 divisors (see below), whose sum is σ = 3001850280. Its totient is φ = 353550720.

The previous prime is 1066636651. The next prime is 1066636657. The reversal of 1066636656 is 6566366601.

It is a super-2 number, since 2×10666366562 = 2275427511845724672, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1066636651) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5086 + ... + 46466.

It is an arithmetic number, because the mean of its divisors is an integer number (50030838).

Almost surely, 21066636656 is an apocalyptic number.

1066636656 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 1066636656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1500925140).

1066636656 is an abundant number, since it is smaller than the sum of its proper divisors (1935213624).

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

1066636656 is a wasteful number, since it uses less digits than its factorization.

1066636656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41574 (or 41565 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 45.

The square root of 1066636656 is about 32659.4037912513. The cubic root of 1066636656 is about 1021.7363274945.

The spelling of 1066636656 in words is "one billion, sixty-six million, six hundred thirty-six thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 179 358 537 716 1074 1432 1611 2148 2864 3222 4296 6444 8592 12888 25776 41381 82762 124143 165524 248286 331048 372429 496572 662096 744858 993144 1489716 1986288 2979432 5958864 7407199 14814398 22221597 29628796 44443194 59257592 66664791 88886388 118515184 133329582 177772776 266659164 355545552 533318328 1066636656