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4066077960 = 233357537841
BaseRepresentation
bin1111001001011011…
…0110110100001000
3101111101001011101000
43302112312310020
531311403443320
61511250055000
7202522043460
oct36226666410
911441034330
104066077960
1117a721660a
1295587a460
134ca518cb9
142a8034ba0
1518be78c90
hexf25b6d08

4066077960 has 128 divisors (see below), whose sum is σ = 15489849600. Its totient is φ = 929387520.

The previous prime is 4066077949. The next prime is 4066077989. The reversal of 4066077960 is 697706604.

4066077960 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 261361 + ... + 276480.

It is an arithmetic number, because the mean of its divisors is an integer number (121014450).

Almost surely, 24066077960 is an apocalyptic number.

4066077960 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4066077960 is an abundant number, since it is smaller than the sum of its proper divisors (11423771640).

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

4066077960 is a wasteful number, since it uses less digits than its factorization.

4066077960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 537868 (or 537858 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The square root of 4066077960 is about 63765.8055700702. The cubic root of 4066077960 is about 1596.0943751078.

The spelling of 4066077960 in words is "four billion, sixty-six million, seventy-seven thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 27 28 30 35 36 40 42 45 54 56 60 63 70 72 84 90 105 108 120 126 135 140 168 180 189 210 216 252 270 280 315 360 378 420 504 540 630 756 840 945 1080 1260 1512 1890 2520 3780 7560 537841 1075682 1613523 2151364 2689205 3227046 3764887 4302728 4840569 5378410 6454092 7529774 8067615 9681138 10756820 11294661 12908184 14521707 15059548 16135230 18824435 19362276 21513640 22589322 24202845 29043414 30119096 32270460 33883983 37648870 38724552 45178644 48405690 56473305 58086828 64540920 67767966 72608535 75297740 90357288 96811380 101651949 112946610 116173656 135535932 145217070 150595480 169419915 193622760 203303898 225893220 271071864 290434140 338839830 406607796 451786440 508259745 580868280 677679660 813215592 1016519490 1355359320 2033038980 4066077960