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3974705168 = 247237731877
BaseRepresentation
bin1110110011101001…
…0011000000010000
3101021000002221110112
43230322103000100
531120011031133
61454223420452
7200332302500
oct35472230020
911230087415
103974705168
11175a687905
1292b154728
134b4606265
14299c4ba00
15183e2a648
hexece93010

3974705168 has 120 divisors (see below), whose sum is σ = 9331413912. Its totient is φ = 1633830912.

The previous prime is 3974705149. The next prime is 3974705219. The reversal of 3974705168 is 8615074793.

It can be written as a sum of positive squares in 4 ways, for example, as 1719595024 + 2255110144 = 41468^2 + 47488^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2116646 + ... + 2118522.

Almost surely, 23974705168 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 3974705168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4665706956).

3974705168 is an abundant number, since it is smaller than the sum of its proper divisors (5356708744).

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

3974705168 is a wasteful number, since it uses less digits than its factorization.

3974705168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2009 (or 1996 counting only the distinct ones).

The product of its (nonzero) digits is 1270080, while the sum is 50.

The square root of 3974705168 is about 63045.2628513832. The cubic root of 3974705168 is about 1584.0478869480.

The spelling of 3974705168 in words is "three billion, nine hundred seventy-four million, seven hundred five thousand, one hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 28 37 49 56 73 74 98 112 146 148 196 259 292 296 392 511 518 584 592 784 1022 1036 1168 1813 1877 2044 2072 2701 3577 3626 3754 4088 4144 5402 7154 7252 7508 8176 10804 13139 14308 14504 15016 18907 21608 26278 28616 29008 30032 37814 43216 52556 57232 69449 75628 91973 105112 132349 137021 138898 151256 183946 210224 264698 274042 277796 302512 367892 486143 529396 548084 555592 735784 959147 972286 1058792 1096168 1111184 1471568 1918294 1944572 2117584 2192336 3403001 3836588 3889144 5069777 6714029 6806002 7673176 7778288 10139554 13428058 13612004 15346352 20279108 26856116 27224008 35488439 40558216 53712232 54448016 70976878 81116432 107424464 141953756 248419073 283907512 496838146 567815024 993676292 1987352584 3974705168