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13201445544 = 2337227674057
BaseRepresentation
bin11000100101101111…
…00001001010101000
31021002000211220210120
430102313201022220
5204014032224134
610021544443240
7645100302300
oct142267411250
937060756716
1013201445544
115664965481
122685179520
131325043c51
148d3406600
15523e94649
hex312de12a8

13201445544 has 96 divisors (see below), whose sum is σ = 38415300480. Its totient is φ = 3769549056.

The previous prime is 13201445513. The next prime is 13201445549. The reversal of 13201445544 is 44554410231.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (13201445549) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3251964 + ... + 3256020.

It is an arithmetic number, because the mean of its divisors is an integer number (400159380).

Almost surely, 213201445544 is an apocalyptic number.

13201445544 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13201445544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19207650240).

13201445544 is an abundant number, since it is smaller than the sum of its proper divisors (25213854936).

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

13201445544 is a wasteful number, since it uses less digits than its factorization.

13201445544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6847 (or 6836 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 33.

Adding to 13201445544 its reverse (44554410231), we get a palindrome (57755855775).

The spelling of 13201445544 in words is "thirteen billion, two hundred one million, four hundred forty-five thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 49 56 84 98 147 168 196 294 392 588 1176 2767 4057 5534 8114 8301 11068 12171 16228 16602 19369 22136 24342 28399 32456 33204 38738 48684 56798 58107 66408 77476 85197 97368 113596 116214 135583 154952 170394 198793 227192 232428 271166 340788 397586 406749 464856 542332 596379 681576 795172 813498 1084664 1192758 1590344 1626996 2385516 3253992 4771032 11225719 22451438 33677157 44902876 67354314 78580033 89805752 134708628 157160066 235740099 269417256 314320132 471480198 550060231 628640264 942960396 1100120462 1650180693 1885920792 2200240924 3300361386 4400481848 6600722772 13201445544