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13025055540 = 2235728353377
BaseRepresentation
bin11000010000101101…
…01001001100110100
31020121201221101012110
430020112221030310
5203133403234130
65552244051020
7640526100600
oct141026511464
936551841173
1013025055540
115584339012
122636093a70
1312c7635273
148b7c0c500
15513750ab0
hex3085a9334

13025055540 has 144 divisors (see below), whose sum is σ = 42936409152. Its totient is φ = 2941231104.

The previous prime is 13025055517. The next prime is 13025055557. The reversal of 13025055540 is 4555052031.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 13025055498 and 13025055507.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 217332 + ... + 270708.

It is an arithmetic number, because the mean of its divisors is an integer number (298169508).

Almost surely, 213025055540 is an apocalyptic number.

13025055540 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 13025055540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21468204576).

13025055540 is an abundant number, since it is smaller than the sum of its proper divisors (29911353612).

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

13025055540 is a wasteful number, since it uses less digits than its factorization.

13025055540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53486 (or 53477 counting only the distinct ones).

The product of its (nonzero) digits is 15000, while the sum is 30.

The spelling of 13025055540 in words is "thirteen billion, twenty-five million, fifty-five thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 49 60 70 83 84 98 105 140 147 166 196 210 245 249 294 332 415 420 490 498 581 588 735 830 980 996 1162 1245 1470 1660 1743 2324 2490 2905 2940 3486 4067 4980 5810 6972 8134 8715 11620 12201 16268 17430 20335 24402 34860 40670 48804 53377 61005 81340 106754 122010 160131 213508 244020 266885 320262 373639 533770 640524 747278 800655 1067540 1120917 1494556 1601310 1868195 2241834 2615473 3202620 3736390 4430291 4483668 5230946 5604585 7472780 7846419 8860582 10461892 11209170 13077365 13290873 15692838 17721164 22151455 22418340 26154730 26581746 31012037 31385676 39232095 44302910 52309460 53163492 62024074 66454365 78464190 88605820 93036111 124048148 132908730 155060185 156928380 186072222 217084259 265817460 310120370 372144444 434168518 465180555 620240740 651252777 868337036 930361110 1085421295 1302505554 1860722220 2170842590 2605011108 3256263885 4341685180 6512527770 13025055540