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3944497968760 = 23517311317114207
BaseRepresentation
bin111001011001100110011…
…001100111011001111000
3111222002102211211101100111
4321121212121213121320
51004111312440000020
612220024412514104
7554660223346006
oct71314631473170
914862384741314
103944497968760
1112909412a8068
1253857847b934
13227c701b362b
14d8cb3dc7a76
156c913593d5a
hex39666667678

3944497968760 has 128 divisors (see below), whose sum is σ = 9701740707840. Its totient is φ = 1436874393600.

The previous prime is 3944497968751. The next prime is 3944497968787. The reversal of 3944497968760 is 678697944493.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 277637577 + ... + 277651783.

It is an arithmetic number, because the mean of its divisors is an integer number (75794849280).

Almost surely, 23944497968760 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 3944497968760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4850870353920).

3944497968760 is an abundant number, since it is smaller than the sum of its proper divisors (5757242739080).

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

3944497968760 is a wasteful number, since it uses less digits than its factorization.

3944497968760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27437 (or 27433 counting only the distinct ones).

The product of its (nonzero) digits is 1975228416, while the sum is 76.

The spelling of 3944497968760 in words is "three trillion, nine hundred forty-four billion, four hundred ninety-seven million, nine hundred sixty-eight thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 17 20 31 34 40 62 68 85 124 136 155 170 248 310 340 527 620 680 1054 1240 2108 2635 4216 5270 10540 13171 14207 21080 26342 28414 52684 56828 65855 71035 105368 113656 131710 142070 223907 241519 263420 284140 408301 440417 447814 483038 526840 568280 816602 880834 895628 966076 1119535 1207595 1633204 1761668 1791256 1932152 2041505 2202085 2239070 2415190 3266408 3523336 4083010 4404170 4478140 4830380 6941117 7487089 8166020 8808340 8956280 9660760 13882234 14974178 16332040 17616680 27764468 29948356 34705585 37435445 55528936 59896712 69411170 74870890 138822340 149741780 187120397 277644680 299483560 374240794 748481588 935601985 1496963176 1871203970 3181046749 3742407940 5800732307 6362093498 7484815880 11601464614 12724186996 15905233745 23202929228 25448373992 29003661535 31810467490 46405858456 58007323070 63620934980 98612449219 116014646140 127241869960 197224898438 232029292280 394449796876 493062246095 788899593752 986124492190 1972248984380 3944497968760