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5334724100000 = 2555173138073
BaseRepresentation
bin100110110100001011001…
…0101011011111110100000
3200212222212002120012110002
41031220112111123332200
51144401003332200000
615202423255355132
71060264302444611
oct115502625337640
920788762505402
105334724100000
111777497751069
12721aa4382aa8
132c90a6c063b9
141462b84d5c08
1593b7d6128d5
hex4da1655bfa0

5334724100000 has 144 divisors (see below), whose sum is σ = 13899797527896. Its totient is φ = 2008366080000.

The previous prime is 5334724099879. The next prime is 5334724100029. The reversal of 5334724100000 is 14274335.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 2505775025296 + 2828949074704 = 1582964^2 + 1681948^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 130964 + ... + 3269036.

Almost surely, 25334724100000 is an apocalyptic number.

5334724100000 is a gapful number since it is divisible by the number (50) 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 5334724100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6949898763948).

5334724100000 is an abundant number, since it is smaller than the sum of its proper divisors (8565073427896).

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

5334724100000 is an equidigital number, since it uses as much as digits as its factorization.

5334724100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3138125 (or 3138097 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 29.

Adding to 5334724100000 its reverse (14274335), we get a palindrome (5334738374335).

The spelling of 5334724100000 in words is "five trillion, three hundred thirty-four billion, seven hundred twenty-four million, one hundred thousand".

Divisors: 1 2 4 5 8 10 16 17 20 25 32 34 40 50 68 80 85 100 125 136 160 170 200 250 272 340 400 425 500 544 625 680 800 850 1000 1250 1360 1700 2000 2125 2500 2720 3125 3400 4000 4250 5000 6250 6800 8500 10000 10625 12500 13600 17000 20000 21250 25000 34000 42500 50000 53125 68000 85000 100000 106250 170000 212500 340000 425000 850000 1700000 3138073 6276146 12552292 15690365 25104584 31380730 50209168 53347241 62761460 78451825 100418336 106694482 125522920 156903650 213388964 251045840 266736205 313807300 392259125 426777928 502091680 533472410 627614600 784518250 853555856 1066944820 1255229200 1333681025 1569036500 1707111712 1961295625 2133889640 2510458400 2667362050 3138073000 3922591250 4267779280 5334724100 6276146000 6668405125 7845182500 8535558560 9806478125 10669448200 12552292000 13336810250 15690365000 19612956250 21338896400 26673620500 31380730000 33342025625 39225912500 42677792800 53347241000 62761460000 66684051250 78451825000 106694482000 133368102500 156903650000 166710128125 213388964000 266736205000 313807300000 333420256250 533472410000 666840512500 1066944820000 1333681025000 2667362050000 5334724100000