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5993351120 = 245292583341
BaseRepresentation
bin1011001010011101…
…10100011111010000
3120110200112210010102
411211032310133100
544233244213440
62430414151532
7301343433611
oct54516643720
916420483112
105993351120
1125a60aa449
1211b31b25a8
137468ab613
1440bd9bc08
15251272b15
hex1653b47d0

5993351120 has 40 divisors (see below), whose sum is σ = 14415048360. Its totient is φ = 2314672640.

The previous prime is 5993351101. The next prime is 5993351129. The reversal of 5993351120 is 211533995.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 478209424 + 5515141696 = 21868^2 + 74264^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5993351129) 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 7 ways as a sum of consecutive naturals, for example, 1289351 + ... + 1293990.

It is an arithmetic number, because the mean of its divisors is an integer number (360376209).

Almost surely, 25993351120 is an apocalyptic number.

It is an amenable number.

5993351120 is an abundant number, since it is smaller than the sum of its proper divisors (8421697240).

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

5993351120 is a wasteful number, since it uses less digits than its factorization.

5993351120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2583383 (or 2583377 counting only the distinct ones).

The product of its (nonzero) digits is 36450, while the sum is 38.

The square root of 5993351120 is about 77416.7366917516. The cubic root of 5993351120 is about 1816.4491327030.

The spelling of 5993351120 in words is "five billion, nine hundred ninety-three million, three hundred fifty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 29 40 58 80 116 145 232 290 464 580 1160 2320 2583341 5166682 10333364 12916705 20666728 25833410 41333456 51666820 74916889 103333640 149833778 206667280 299667556 374584445 599335112 749168890 1198670224 1498337780 2996675560 5993351120