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5312416120 = 2351113788129
BaseRepresentation
bin1001111001010010…
…10000100101111000
3111201020020200220121
410330221100211320
541334434303440
62235051303024
7245434535434
oct47451204570
914636220817
105312416120
1122867a1950
12104314aa74
136687b5bbb
143857879c4
152115b934a
hex13ca50978

5312416120 has 64 divisors (see below), whose sum is σ = 13134895200. Its totient is φ = 1917665280.

The previous prime is 5312416111. The next prime is 5312416121. The reversal of 5312416120 is 216142135.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5312416121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16216 + ... + 104344.

Almost surely, 25312416120 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 5312416120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6567447600).

5312416120 is an abundant number, since it is smaller than the sum of its proper divisors (7822479080).

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

5312416120 is a wasteful number, since it uses less digits than its factorization.

5312416120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88288 (or 88284 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

The square root of 5312416120 is about 72886.3232712420. The cubic root of 5312416120 is about 1744.8738282570.

Adding to 5312416120 its reverse (216142135), we get a palindrome (5528558255).

The spelling of 5312416120 in words is "five billion, three hundred twelve million, four hundred sixteen thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 137 220 274 440 548 685 1096 1370 1507 2740 3014 5480 6028 7535 12056 15070 30140 60280 88129 176258 352516 440645 705032 881290 969419 1762580 1938838 3525160 3877676 4847095 7755352 9694190 12073673 19388380 24147346 38776760 48294692 60368365 96589384 120736730 132810403 241473460 265620806 482946920 531241612 664052015 1062483224 1328104030 2656208060 5312416120