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13778458668 = 223713121157
BaseRepresentation
bin11001101010100001…
…01001100000101100
31022120020121020000000
430311100221200230
5211204241134133
610155120104300
7665304652302
oct146520514054
938506536000
1013778458668
115930642a27
122806465090
1313b7751a30
14949cc8272
15559971413
hex33542982c

13778458668 has 96 divisors (see below), whose sum is σ = 38945027520. Its totient is φ = 4239490752.

The previous prime is 13778458663. The next prime is 13778458693. The reversal of 13778458668 is 86685487731.

It is not an unprimeable number, because it can be changed into a prime (13778458663) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 53146 + ... + 174302.

It is an arithmetic number, because the mean of its divisors is an integer number (405677370).

Almost surely, 213778458668 is an apocalyptic number.

13778458668 is a gapful number since it is divisible by the number (18) 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 13778458668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19472513760).

13778458668 is an abundant number, since it is smaller than the sum of its proper divisors (25166568852).

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

13778458668 is a wasteful number, since it uses less digits than its factorization.

13778458668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121195 (or 121175 counting only the distinct ones).

The product of its digits is 54190080, while the sum is 63.

The spelling of 13778458668 in words is "thirteen billion, seven hundred seventy-eight million, four hundred fifty-eight thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 81 108 117 156 162 234 243 324 351 468 486 702 729 972 1053 1404 1458 2106 2187 2916 3159 4212 4374 6318 8748 9477 12636 18954 28431 37908 56862 113724 121157 242314 363471 484628 726942 1090413 1453884 1575041 2180826 3150082 3271239 4361652 4725123 6300164 6542478 9450246 9813717 13084956 14175369 18900492 19627434 28350738 29441151 39254868 42526107 56701476 58882302 85052214 88323453 117764604 127578321 170104428 176646906 255156642 264970359 353293812 382734963 510313284 529940718 765469926 1059881436 1148204889 1530939852 2296409778 3444614667 4592819556 6889229334 13778458668