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201161420416 = 2711294926563
BaseRepresentation
bin1011101101011000100…
…1111010111010000000
3201020020021200221210101
42323112021322322000
511243434310423131
6232225015212144
720350652601235
oct2732611727200
9636207627711
10201161420416
1178348417590
1232ba0677054
1315c7ab264a8
149a4444b78c
1553753ddc61
hex2ed627ae80

201161420416 has 64 divisors (see below), whose sum is σ = 452258575200. Its totient is φ = 88283991040.

The previous prime is 201161420407. The next prime is 201161420417. The reversal of 201161420416 is 614024161102.

201161420416 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a super-2 number, since 2×2011614204162 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (201161420417) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2422450 + ... + 2504113.

Almost surely, 2201161420416 is an apocalyptic number.

It is an amenable number.

201161420416 is an abundant number, since it is smaller than the sum of its proper divisors (251097154784).

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

201161420416 is a wasteful number, since it uses less digits than its factorization.

201161420416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4926617 (or 4926605 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 28.

Adding to 201161420416 its reverse (614024161102), we get a palindrome (815185581518).

The spelling of 201161420416 in words is "two hundred one billion, one hundred sixty-one million, four hundred twenty thousand, four hundred sixteen".

Divisors: 1 2 4 8 11 16 22 29 32 44 58 64 88 116 128 176 232 319 352 464 638 704 928 1276 1408 1856 2552 3712 5104 10208 20416 40832 4926563 9853126 19706252 39412504 54192193 78825008 108384386 142870327 157650016 216768772 285740654 315300032 433537544 571481308 630600064 867075088 1142962616 1571573597 1734150176 2285925232 3143147194 3468300352 4571850464 6286294388 6936600704 9143700928 12572588776 18287401856 25145177552 50290355104 100580710208 201161420416