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4066927344 = 2432232834339
BaseRepresentation
bin1111001001101000…
…0110001011110000
3101111102122022111200
43302122012023300
531312113133334
61511320211200
7202532212014
oct36232061360
911442568450
104066927344
1117a7746787
12956009b00
134ca7557ac
142a81b6544
1518c095799
hexf26862f0

4066927344 has 120 divisors (see below), whose sum is σ = 11921320320. Its totient is φ = 1291821696.

The previous prime is 4066927339. The next prime is 4066927351. The reversal of 4066927344 is 4437296604.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 4066927344.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 935127 + ... + 939465.

It is an arithmetic number, because the mean of its divisors is an integer number (99344336).

Almost surely, 24066927344 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 4066927344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5960660160).

4066927344 is an abundant number, since it is smaller than the sum of its proper divisors (7854392976).

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

4066927344 is a wasteful number, since it uses less digits than its factorization.

4066927344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4659 (or 4650 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 45.

The square root of 4066927344 is about 63772.4654063178. The cubic root of 4066927344 is about 1596.2055061658.

The spelling of 4066927344 in words is "four billion, sixty-six million, nine hundred twenty-seven thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 36 46 48 69 72 92 138 144 184 207 276 283 368 414 552 566 828 849 1104 1132 1656 1698 2264 2547 3312 3396 4339 4528 5094 6509 6792 8678 10188 13017 13018 13584 17356 19527 20376 26034 26036 34712 39051 39054 40752 52068 52072 58581 69424 78102 78108 99797 104136 104144 117162 156204 156216 199594 208272 234324 299391 312408 312432 399188 468648 598782 624816 798376 898173 937296 1197564 1227937 1596752 1796346 2395128 2455874 3592692 3683811 4790256 4911748 7185384 7367622 9823496 11051433 14370768 14735244 19646992 22102866 28242551 29470488 44205732 56485102 58940976 84727653 88411464 112970204 169455306 176822928 225940408 254182959 338910612 451880816 508365918 677821224 1016731836 1355642448 2033463672 4066927344