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13750654720 = 285114572137
BaseRepresentation
bin11001100111001101…
…00101011100000000
31022111022021122011011
430303212211130000
5211130131422340
610152244130304
7664516431235
oct146346453400
938438248134
1013750654720
115916982460
1227b9096994
1313b1a684aa
1494632b78c
155572cd0ea
hex3339a5700

13750654720 has 144 divisors (see below), whose sum is σ = 36026873568. Its totient is φ = 4986961920.

The previous prime is 13750654699. The next prime is 13750654721. The reversal of 13750654720 is 2745605731.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13750654721) 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, 6433492 + ... + 6435628.

It is an arithmetic number, because the mean of its divisors is an integer number (250186622).

Almost surely, 213750654720 is an apocalyptic number.

13750654720 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 13750654720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18013436784).

13750654720 is an abundant number, since it is smaller than the sum of its proper divisors (22276218848).

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

13750654720 is a wasteful number, since it uses less digits than its factorization.

13750654720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2626 (or 2612 counting only the distinct ones).

The product of its (nonzero) digits is 176400, while the sum is 40.

The spelling of 13750654720 in words is "thirteen billion, seven hundred fifty million, six hundred fifty-four thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 128 160 176 220 256 320 352 440 457 640 704 880 914 1280 1408 1760 1828 2137 2285 2816 3520 3656 4274 4570 5027 7040 7312 8548 9140 10054 10685 14080 14624 17096 18280 20108 21370 23507 25135 29248 34192 36560 40216 42740 47014 50270 58496 68384 73120 80432 85480 94028 100540 116992 117535 136768 146240 160864 170960 188056 201080 235070 273536 292480 321728 341920 376112 402160 470140 547072 584960 643456 683840 752224 804320 940280 976609 1286912 1367680 1504448 1608640 1880560 1953218 2735360 3008896 3217280 3761120 3906436 4883045 6017792 6434560 7522240 7812872 9766090 10742699 15044480 15625744 19532180 21485398 30088960 31251488 39064360 42970796 53713495 62502976 78128720 85941592 107426990 125005952 156257440 171883184 214853980 250011904 312514880 343766368 429707960 625029760 687532736 859415920 1250059520 1375065472 1718831840 2750130944 3437663680 6875327360 13750654720