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5366152613120 = 285132997114641
BaseRepresentation
bin100111000010110011110…
…0111101100110100000000
3200222222222101212002102112
41032011213213230310000
51200404340032104440
615225102041434452
71062456156423005
oct116054747546400
920888871762375
105366152613120
111789855289152
12727bb579ba28
132cc045221220
14147a1a5558ac
15948bc864965
hex4e1679ecd00

5366152613120 has 288 divisors, whose sum is σ = 14467426031520. Its totient is φ = 1893287854080.

The previous prime is 5366152613093. The next prime is 5366152613123. The reversal of 5366152613120 is 213162516635.

It can be written as a sum of positive squares in 16 ways, for example, as 1316141261824 + 4050011351296 = 1147232^2 + 2012464^2 .

It is a super-2 number, since 2×53661526131202 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5366152613123) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 46751000 + ... + 46865640.

It is an arithmetic number, because the mean of its divisors is an integer number (50234118165).

Almost surely, 25366152613120 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 5366152613120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7233713015760).

5366152613120 is an abundant number, since it is smaller than the sum of its proper divisors (9101273418400).

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

5366152613120 is a wasteful number, since it uses less digits than its factorization.

5366152613120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114801 (or 114787 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 41.

The spelling of 5366152613120 in words is "five trillion, three hundred sixty-six billion, one hundred fifty-two million, six hundred thirteen thousand, one hundred twenty".