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4119949008 = 24347264877
BaseRepresentation
bin1111010110010001…
…0110111011010000
3101122010102002120000
43311210112323100
531414201332013
61520452450000
7204044663100
oct36544267320
911563362500
104119949008
11182467073a
1296b919900
1350872b366
142b1259200
15191a6a973
hexf5916ed0

4119949008 has 150 divisors (see below), whose sum is σ = 13871370546. Its totient is φ = 1177110144.

The previous prime is 4119949007. The next prime is 4119949027. The reversal of 4119949008 is 8009499114.

It can be written as a sum of positive squares in only one way, i.e., 4097024064 + 22924944 = 64008^2 + 4788^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4119949007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 31066 + ... + 95942.

Almost surely, 24119949008 is an apocalyptic number.

4119949008 is a gapful number since it is divisible by the number (48) 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 4119949008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6935685273).

4119949008 is an abundant number, since it is smaller than the sum of its proper divisors (9751421538).

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

4119949008 is a wasteful number, since it uses less digits than its factorization.

4119949008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64911 (or 64889 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 45.

The square root of 4119949008 is about 64186.8289293060. The cubic root of 4119949008 is about 1603.1123024746.

The spelling of 4119949008 in words is "four billion, one hundred nineteen million, nine hundred forty-nine thousand, eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 49 54 56 63 72 81 84 98 108 112 126 144 147 162 168 189 196 216 252 294 324 336 378 392 432 441 504 567 588 648 756 784 882 1008 1134 1176 1296 1323 1512 1764 2268 2352 2646 3024 3528 3969 4536 5292 7056 7938 9072 10584 15876 21168 31752 63504 64877 129754 194631 259508 389262 454139 519016 583893 778524 908278 1038032 1167786 1362417 1557048 1751679 1816556 2335572 2724834 3114096 3178973 3503358 3633112 4087251 4671144 5255037 5449668 6357946 7006716 7266224 8174502 9342288 9536919 10510074 10899336 12261753 12715892 14013432 16349004 19073838 21020148 21798672 24523506 25431784 28026864 28610757 32698008 36785259 38147676 42040296 49047012 50863568 57221514 65396016 73570518 76295352 84080592 85832271 98094024 114443028 147141036 152590704 171664542 196188048 228886056 257496813 294282072 343329084 457772112 514993626 588564144 686658168 1029987252 1373316336 2059974504 4119949008