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2016141435136 = 28172411922273
BaseRepresentation
bin11101010101101011011…
…001001110000100000000
321010202000100210201022001
4131111223121032010000
5231013024201411021
64142111431553344
7265442602303513
oct35255331160400
97122010721261
102016141435136
1170804a308a24
122868a982b854
1311817670ac1a
146d82051ad7a
15376a0110091
hex1d56b64e100

2016141435136 has 72 divisors (see below), whose sum is σ = 4278820452984. Its totient is φ = 944835133440.

The previous prime is 2016141435131. The next prime is 2016141435169. The reversal of 2016141435136 is 6315341416102.

It can be written as a sum of positive squares in 4 ways, for example, as 824725524736 + 1191415910400 = 908144^2 + 1091520^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2016141435095 and 2016141435104.

It is not an unprimeable number, because it can be changed into a prime (2016141435131) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 87696 + ... + 2009968.

It is an arithmetic number, because the mean of its divisors is an integer number (59428061847).

Almost surely, 22016141435136 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 2016141435136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2139410226492).

2016141435136 is an abundant number, since it is smaller than the sum of its proper divisors (2262679017848).

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

2016141435136 is a wasteful number, since it uses less digits than its factorization.

2016141435136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1922547 (or 1922533 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 37.

The spelling of 2016141435136 in words is "two trillion, sixteen billion, one hundred forty-one million, four hundred thirty-five thousand, one hundred thirty-six".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 241 256 272 482 544 964 1088 1928 2176 3856 4097 4352 7712 8194 15424 16388 30848 32776 61696 65552 131104 262208 524416 1048832 1922273 3844546 7689092 15378184 30756368 32678641 61512736 65357282 123025472 130714564 246050944 261429128 463267793 492101888 522858256 926535586 1045716512 1853071172 2091433024 3706142344 4182866048 7412284688 7875552481 8365732096 14824569376 15751104962 29649138752 31502209924 59298277504 63004419848 118596555008 126008839696 252017679392 504035358784 1008070717568 2016141435136