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3887921466 = 23211135925601
BaseRepresentation
bin1110011110111100…
…1111100100111010
3101000221210212121100
43213233033210322
530430301441331
61441443352230
7165226534002
oct34757174472
911027725540
103887921466
1117156a2a40
12906082676
1349c63c260
1428c4db002
1517b4d6ae6
hexe7bcf93a

3887921466 has 96 divisors (see below), whose sum is σ = 10064658240. Its totient is φ = 1069056000.

The previous prime is 3887921461. The next prime is 3887921501. The reversal of 3887921466 is 6641297883.

It is not an unprimeable number, because it can be changed into a prime (3887921461) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 139066 + ... + 164666.

It is an arithmetic number, because the mean of its divisors is an integer number (104840190).

Almost surely, 23887921466 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3887921466, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5032329120).

3887921466 is an abundant number, since it is smaller than the sum of its proper divisors (6176736774).

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

3887921466 is a wasteful number, since it uses less digits than its factorization.

3887921466 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25692 (or 25689 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 54.

The square root of 3887921466 is about 62353.1993244934. The cubic root of 3887921466 is about 1572.4342491441.

The spelling of 3887921466 in words is "three billion, eight hundred eighty-seven million, nine hundred twenty-one thousand, four hundred sixty-six".

Divisors: 1 2 3 6 9 11 13 18 22 26 33 39 59 66 78 99 117 118 143 177 198 234 286 354 429 531 649 767 858 1062 1287 1298 1534 1947 2301 2574 3894 4602 5841 6903 8437 11682 13806 16874 25311 25601 50622 51202 75933 76803 151866 153606 230409 281611 332813 460818 563222 665626 844833 998439 1510459 1689666 1996878 2534499 2995317 3020918 3660943 4531377 5068998 5990634 7321886 9062754 10982829 13594131 16615049 19635967 21965658 27188262 32948487 33230098 39271934 49845147 58907901 65896974 99690294 117815802 149535441 176723703 215995637 299070882 353447406 431991274 647986911 1295973822 1943960733 3887921466