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5268343680 = 27345101627
BaseRepresentation
bin1001110100000010…
…01000101110000000
3111121011022120220000
410322001020232000
541242143444210
62230434520000
7244361116365
oct47201105600
914534276800
105268343680
11226392a646
121030436000
1365c624832
1437d99446c
1520c7b0ac0
hex13a048b80

5268343680 has 160 divisors (see below), whose sum is σ = 18814391640. Its totient is φ = 1404877824.

The previous prime is 5268343649. The next prime is 5268343721. The reversal of 5268343680 is 863438625.

It is a happy number.

5268343680 is a `hidden beast` number, since 526 + 8 + 3 + 43 + 6 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-3 number, since 3×52683436803 (a number of 30 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1027 + ... + 102653.

Almost surely, 25268343680 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5268343680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9407195820).

5268343680 is an abundant number, since it is smaller than the sum of its proper divisors (13546047960).

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

5268343680 is a wasteful number, since it uses less digits than its factorization.

5268343680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101658 (or 101637 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The square root of 5268343680 is about 72583.3567699924. The cubic root of 5268343680 is about 1740.0351954831.

The spelling of 5268343680 in words is "five billion, two hundred sixty-eight million, three hundred forty-three thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 81 90 96 108 120 128 135 144 160 162 180 192 216 240 270 288 320 324 360 384 405 432 480 540 576 640 648 720 810 864 960 1080 1152 1296 1440 1620 1728 1920 2160 2592 2880 3240 3456 4320 5184 5760 6480 8640 10368 12960 17280 25920 51840 101627 203254 304881 406508 508135 609762 813016 914643 1016270 1219524 1524405 1626032 1829286 2032540 2439048 2743929 3048810 3252064 3658572 4065080 4573215 4878096 5487858 6097620 6504128 7317144 8130160 8231787 9146430 9756192 10975716 12195240 13008256 13719645 14634288 16260320 16463574 18292860 19512384 21951432 24390480 27439290 29268576 32520640 32927148 36585720 39024768 41158935 43902864 48780960 54878580 58537152 65041280 65854296 73171440 82317870 87805728 97561920 109757160 117074304 131708592 146342880 164635740 175611456 195123840 219514320 263417184 292685760 329271480 351222912 439028640 526834368 585371520 658542960 878057280 1053668736 1317085920 1756114560 2634171840 5268343680