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15141105620 = 225231072831087
BaseRepresentation
bin11100001100111101…
…01110111111010100
31110002012122212012122
432012132232333110
5222002110334440
610542234235112
71044132163034
oct160636567724
943065585178
1015141105620
11646a839833
122b26885a98
131573b526c4
14a38c758c4
155d93d87b5
hex3867aefd4

15141105620 has 96 divisors (see below), whose sum is σ = 33638105088. Its totient is φ = 5713437312.

The previous prime is 15141105613. The next prime is 15141105647. The reversal of 15141105620 is 2650114151.

It is a self number, because there is not a number n which added to its sum of digits gives 15141105620.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13928717 + ... + 13929803.

It is an arithmetic number, because the mean of its divisors is an integer number (350396928).

Almost surely, 215141105620 is an apocalyptic number.

15141105620 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 15141105620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16819052544).

15141105620 is an abundant number, since it is smaller than the sum of its proper divisors (18496999468).

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

15141105620 is a wasteful number, since it uses less digits than its factorization.

15141105620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1509 (or 1507 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 26.

Adding to 15141105620 its reverse (2650114151), we get a palindrome (17791219771).

The spelling of 15141105620 in words is "fifteen billion, one hundred forty-one million, one hundred five thousand, six hundred twenty".

Divisors: 1 2 4 5 10 20 23 46 92 107 115 214 230 283 428 460 535 566 1070 1087 1132 1415 2140 2174 2461 2830 4348 4922 5435 5660 6509 9844 10870 12305 13018 21740 24610 25001 26036 30281 32545 49220 50002 60562 65090 100004 116309 121124 125005 130180 151405 232618 250010 302810 307621 465236 500020 581545 605620 615242 696463 1163090 1230484 1392926 1538105 2326180 2675107 2785852 3076210 3482315 5350214 6152420 6964630 7075283 10700428 13375535 13929260 14150566 26751070 28301132 32915447 35376415 53502140 65830894 70752830 131661788 141505660 164577235 329154470 658308940 757055281 1514110562 3028221124 3785276405 7570552810 15141105620