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2104359264 = 25347115981
BaseRepresentation
bin111110101101101…
…1111100101100000
312102122201112020000
41331123133211200
513302203444024
6544451420000
7103101521130
oct17533374540
95378645200
102104359264
1198a946297
124a88b4600
13276c860c7
1415d6a2ac0
15c4b28cc9
hex7d6df960

2104359264 has 120 divisors (see below), whose sum is σ = 7073046288. Its totient is φ = 601240320.

The previous prime is 2104359259. The next prime is 2104359289. The reversal of 2104359264 is 4629534012.

It is a happy number.

2104359264 is a `hidden beast` number, since 2 + 1 + 0 + 4 + 3 + 592 + 64 = 666.

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

It is a congruent number.

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 19 ways as a sum of consecutive naturals, for example, 39847 + ... + 76134.

Almost surely, 22104359264 is an apocalyptic number.

2104359264 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2104359264 is an abundant number, since it is smaller than the sum of its proper divisors (4968687024).

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

2104359264 is a wasteful number, since it uses less digits than its factorization.

2104359264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116010 (or 115993 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 2104359264 is about 45873.2957612596. The cubic root of 2104359264 is about 1281.4646450495.

The spelling of 2104359264 in words is "two billion, one hundred four million, three hundred fifty-nine thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 72 81 84 96 108 112 126 144 162 168 189 216 224 252 288 324 336 378 432 504 567 648 672 756 864 1008 1134 1296 1512 2016 2268 2592 3024 4536 6048 9072 18144 115981 231962 347943 463924 695886 811867 927848 1043829 1391772 1623734 1855696 2087658 2435601 2783544 3131487 3247468 3711392 4175316 4871202 5567088 6262974 6494936 7306803 8350632 9394461 9742404 11134176 12525948 12989872 14613606 16701264 18788922 19484808 21920409 25051896 25979744 29227212 33402528 37577844 38969616 43840818 50103792 58454424 65761227 75155688 77939232 87681636 100207584 116908848 131522454 150311376 175363272 233817696 263044908 300622752 350726544 526089816 701453088 1052179632 2104359264