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5350201216 = 27313374001
BaseRepresentation
bin1001111101110010…
…11001011110000000
3111210212100101022121
410332321121132000
541424122414331
62242521214024
7246403650163
oct47671313600
914725311277
105350201216
1122a605a3a8
121053931314
13673585549
1438a7c1ada
15214a7ec11
hex13ee59780

5350201216 has 64 divisors (see below), whose sum is σ = 11037836160. Its totient is φ = 2580480000.

The previous prime is 5350201193. The next prime is 5350201273. The reversal of 5350201216 is 6121020535.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 1335216 + ... + 1339216.

It is an arithmetic number, because the mean of its divisors is an integer number (172466190).

Almost surely, 25350201216 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 5350201216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5518918080).

5350201216 is an abundant number, since it is smaller than the sum of its proper divisors (5687634944).

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

5350201216 is a wasteful number, since it uses less digits than its factorization.

5350201216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4383 (or 4371 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 25.

The square root of 5350201216 is about 73145.0696629650. The cubic root of 5350201216 is about 1749.0009226319. Note that the first 3 decimals are identical.

The spelling of 5350201216 in words is "five billion, three hundred fifty million, two hundred one thousand, two hundred sixteen".

Divisors: 1 2 4 8 16 31 32 62 64 124 128 248 337 496 674 992 1348 1984 2696 3968 4001 5392 8002 10447 10784 16004 20894 21568 32008 41788 43136 64016 83576 124031 128032 167152 248062 256064 334304 496124 512128 668608 992248 1337216 1348337 1984496 2696674 3968992 5393348 7937984 10786696 15875968 21573392 41798447 43146784 83596894 86293568 167193788 172587136 334387576 668775152 1337550304 2675100608 5350201216