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201416054436 = 223683112
BaseRepresentation
bin1011101110010101010…
…1010001011010100100
3201020220000211201000000
42323211111101122210
511300000002220221
6232310153021300
720360164133412
oct2734525213244
9636800751000
10201416054436
1178469125923
12330519b4830
1315cbb7cc1cc
149a6a1b22b2
15538c93ae26
hex2ee55516a4

201416054436 has 63 divisors (see below), whose sum is σ = 528538983483. Its totient is φ = 67130606520.

The previous prime is 201416054401. The next prime is 201416054473. The reversal of 201416054436 is 634450614102.

The square root of 201416054436 is 448794.

It is a perfect power (a square), and thus also a powerful number.

201416054436 is a `hidden beast` number, since 2 + 0 + 1 + 4 + 1 + 605 + 4 + 43 + 6 = 666.

201416054436 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 201416054436.

It is an unprimeable number.

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 20 ways as a sum of consecutive naturals, for example, 24230721 + ... + 24239031.

Almost surely, 2201416054436 is an apocalyptic number.

201416054436 is the 448794-th square number.

It is an amenable number.

201416054436 is an abundant number, since it is smaller than the sum of its proper divisors (327122929047).

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

201416054436 is an frugal number, since it uses more digits than its factorization.

201416054436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16644 (or 8316 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

Multiplying 201416054436 by its sum of digits (36), we get a square (7250977959696 = 26927642).

201416054436 divided by its sum of digits (36) gives a square (5594890401 = 747992).

Adding to 201416054436 its reverse (634450614102), we get a palindrome (835866668538).

The spelling of 201416054436 in words is "two hundred one billion, four hundred sixteen million, fifty-four thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 729 972 1458 2916 8311 16622 24933 33244 49866 74799 99732 149598 224397 299196 448794 673191 897588 1346382 2019573 2692764 4039146 6058719 8078292 12117438 24234876 69072721 138145442 207218163 276290884 414436326 621654489 828872652 1243308978 1864963467 2486617956 3729926934 5594890401 7459853868 11189780802 16784671203 22379561604 33569342406 50354013609 67138684812 100708027218 201416054436