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5299223040 = 2933576667
BaseRepresentation
bin1001110111101101…
…11011101000000000
3111200022102102102000
410323312323220000
541323100114130
62233500424000
7245214436566
oct47366735000
914608372360
105299223040
11227a300781
12103a848000
13665b46b47
14383b11a36
15210360260
hex13bdbba00

5299223040 has 160 divisors (see below), whose sum is σ = 18823527360. Its totient is φ = 1413107712.

The previous prime is 5299223003. The next prime is 5299223057. The reversal of 5299223040 is 403229925.

5299223040 is a `hidden beast` number, since 529 + 92 + 2 + 3 + 0 + 40 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 5299222986 and 5299223004.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 30787 + ... + 107453.

It is an arithmetic number, because the mean of its divisors is an integer number (117647046).

Almost surely, 25299223040 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 5299223040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9411763680).

5299223040 is an abundant number, since it is smaller than the sum of its proper divisors (13524304320).

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

5299223040 is an equidigital number, since it uses as much as digits as its factorization.

5299223040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76699 (or 76677 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 5299223040 is about 72795.7625140365. The cubic root of 5299223040 is about 1743.4281996065.

The spelling of 5299223040 in words is "five billion, two hundred ninety-nine million, two hundred twenty-three thousand, forty".

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 90 96 108 120 128 135 144 160 180 192 216 240 256 270 288 320 360 384 432 480 512 540 576 640 720 768 864 960 1080 1152 1280 1440 1536 1728 1920 2160 2304 2560 2880 3456 3840 4320 4608 5760 6912 7680 8640 11520 13824 17280 23040 34560 69120 76667 153334 230001 306668 383335 460002 613336 690003 766670 920004 1150005 1226672 1380006 1533340 1840008 2070009 2300010 2453344 2760012 3066680 3450015 3680016 4140018 4600020 4906688 5520024 6133360 6900030 7360032 8280036 9200040 9813376 10350045 11040048 12266720 13800060 14720064 16560072 18400080 19626752 20700090 22080096 24533440 27600120 29440128 33120144 36800160 39253504 41400180 44160192 49066880 55200240 58880256 66240288 73600320 82800360 88320384 98133760 110400480 117760512 132480576 147200640 165600720 176640768 196267520 220800960 264961152 294401280 331201440 353281536 441601920 529922304 588802560 662402880 883203840 1059844608 1324805760 1766407680 2649611520 5299223040