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4067916680 = 2354112719531
BaseRepresentation
bin1111001001110111…
…0111101110001000
3101111111111120121202
43302131313232020
531312341313210
61511353323332
7202543502252
oct36235675610
911444446552
104067916680
1117a8262013
12956406548
134caa10bb9
142a8392cd2
1518c1dd9a5
hexf2777b88

4067916680 has 64 divisors (see below), whose sum is σ = 9450362880. Its totient is φ = 1574899200.

The previous prime is 4067916679. The next prime is 4067916709. The reversal of 4067916680 is 866197604.

It is a happy number.

It is a super-2 number, since 2×40679166802 = 33095892230844444800, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 198515 + ... + 218045.

It is an arithmetic number, because the mean of its divisors is an integer number (147661920).

Almost surely, 24067916680 is an apocalyptic number.

4067916680 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 4067916680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4725181440).

4067916680 is an abundant number, since it is smaller than the sum of its proper divisors (5382446200).

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

4067916680 is a wasteful number, since it uses less digits than its factorization.

4067916680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19710 (or 19706 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 47.

The square root of 4067916680 is about 63780.2216992070. The cubic root of 4067916680 is about 1596.3349286513.

The spelling of 4067916680 in words is "four billion, sixty-seven million, nine hundred sixteen thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 20 40 41 82 127 164 205 254 328 410 508 635 820 1016 1270 1640 2540 5080 5207 10414 19531 20828 26035 39062 41656 52070 78124 97655 104140 156248 195310 208280 390620 781240 800771 1601542 2480437 3203084 4003855 4960874 6406168 8007710 9921748 12402185 16015420 19843496 24804370 32030840 49608740 99217480 101697917 203395834 406791668 508489585 813583336 1016979170 2033958340 4067916680