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13900935765620 = 22517379169363719
BaseRepresentation
bin1100101001001001000001…
…0101101001111001110100
31211012220202010002102121202
43022102100111221321310
53310223104023444440
645322000212432032
72633211101301521
oct312222025517164
954186663072552
1013900935765620
11447a398930102
121686117318618
1379ab11281297
14360b477d8148
151918dde07615
hexca490569e74

13900935765620 has 96 divisors (see below), whose sum is σ = 31009485830400. Its totient is φ = 5216320456704.

The previous prime is 13900935765611. The next prime is 13900935765623. The reversal of 13900935765620 is 2656753900931.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13900935765623) 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, 218128121 + ... + 218191839.

It is an arithmetic number, because the mean of its divisors is an integer number (323015477400).

Almost surely, 213900935765620 is an apocalyptic number.

13900935765620 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 13900935765620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15504742915200).

13900935765620 is an abundant number, since it is smaller than the sum of its proper divisors (17108550064780).

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

13900935765620 is a wasteful number, since it uses less digits than its factorization.

13900935765620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65817 (or 65815 counting only the distinct ones).

The product of its (nonzero) digits is 9185400, while the sum is 56.

The spelling of 13900935765620 in words is "thirteen trillion, nine hundred billion, nine hundred thirty-five million, seven hundred sixty-five thousand, six hundred twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 379 758 1516 1693 1895 3386 3790 6443 6772 7580 8465 12886 16930 25772 28781 32215 33860 57562 63719 64430 115124 127438 128860 143905 254876 287810 318595 575620 637190 641647 1083223 1274380 1283294 2166446 2566588 3208235 4332892 5416115 6416470 10832230 10907999 12832940 21664460 21815998 24149501 43631996 48299002 54539995 96598004 107876267 109079990 120747505 215752534 218159980 241495010 410541517 431505068 482990020 539381335 821083034 1078762670 1642166068 1833896539 2052707585 2157525340 3667793078 4105415170 7335586156 8210830340 9169482695 18338965390 36677930780 40885105193 81770210386 163540420772 204425525965 408851051930 695046788281 817702103860 1390093576562 2780187153124 3475233941405 6950467882810 13900935765620