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4057536680 = 2353110331769
BaseRepresentation
bin1111000111011001…
…0001100010101000
3101110202222012221022
43301312101202220
531302212133210
61510343032012
7202356331001
oct36166214250
911422865838
104057536680
1117a24123aa
12952a3b608
134c88183a2
142a6c501a8
1518b33d155
hexf1d918a8

4057536680 has 64 divisors (see below), whose sum is σ = 9515750400. Its totient is φ = 1555361280.

The previous prime is 4057536673. The next prime is 4057536713. The reversal of 4057536680 is 866357504.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 111836 + ... + 143604.

It is an arithmetic number, because the mean of its divisors is an integer number (148683600).

Almost surely, 24057536680 is an apocalyptic number.

4057536680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4057536680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4757875200).

4057536680 is an abundant number, since it is smaller than the sum of its proper divisors (5458213720).

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

4057536680 is a wasteful number, since it uses less digits than its factorization.

4057536680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31914 (or 31910 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 44.

The square root of 4057536680 is about 63698.7965349425. The cubic root of 4057536680 is about 1594.9759963369.

The spelling of 4057536680 in words is "four billion, fifty-seven million, five hundred thirty-six thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 20 31 40 62 103 124 155 206 248 310 412 515 620 824 1030 1240 2060 3193 4120 6386 12772 15965 25544 31769 31930 63538 63860 127076 127720 158845 254152 317690 635380 984839 1270760 1969678 3272207 3939356 4924195 6544414 7878712 9848390 13088828 16361035 19696780 26177656 32722070 39393560 65444140 101438417 130888280 202876834 405753668 507192085 811507336 1014384170 2028768340 4057536680