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13755355240 = 23511179174649
BaseRepresentation
bin11001100111110001…
…00001000001101000
31022111122010110001111
430303320201001220
5211132332331430
610152533000104
7664604406334
oct146370410150
938448113044
1013755355240
1159195a2a90
1227ba783034
1313b2a22b73
14946bd27c4
1555790ac2a
hex333e21068

13755355240 has 64 divisors (see below), whose sum is σ = 33951960000. Its totient is φ = 4973975040.

The previous prime is 13755355219. The next prime is 13755355249. The reversal of 13755355240 is 4255355731.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 13755355193 and 13755355202.

It is not an unprimeable number, because it can be changed into a prime (13755355249) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8565 + ... + 166084.

It is an arithmetic number, because the mean of its divisors is an integer number (530499375).

Almost surely, 213755355240 is an apocalyptic number.

13755355240 is a gapful number since it is divisible by the number (10) 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 13755355240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16975980000).

13755355240 is an abundant number, since it is smaller than the sum of its proper divisors (20196604760).

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

13755355240 is a wasteful number, since it uses less digits than its factorization.

13755355240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174850 (or 174846 counting only the distinct ones).

The product of its (nonzero) digits is 315000, while the sum is 40.

The spelling of 13755355240 in words is "thirteen billion, seven hundred fifty-five million, three hundred fifty-five thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 179 220 358 440 716 895 1432 1790 1969 3580 3938 7160 7876 9845 15752 19690 39380 78760 174649 349298 698596 873245 1397192 1746490 1921139 3492980 3842278 6985960 7684556 9605695 15369112 19211390 31262171 38422780 62524342 76845560 125048684 156310855 250097368 312621710 343883881 625243420 687767762 1250486840 1375535524 1719419405 2751071048 3438838810 6877677620 13755355240