Search a number
-
+
15116550511000 = 23531071049134677
BaseRepresentation
bin1101101111111001100010…
…0111111001100110011000
31222112010110101200210102011
43123332120213321212120
53440132143412323000
652052240351315304
73120064133165551
oct333763047714630
958463411623364
1015116550511000
1148a8990748544
12184183221bb34
1385863b8743a3
143a3905a4b328
151b33398892ba
hexdbf989f9998

15116550511000 has 128 divisors (see below), whose sum is σ = 35737615368000. Its totient is φ = 5984354995200.

The previous prime is 15116550510977. The next prime is 15116550511031. The reversal of 15116550511000 is 11505561151.

It is a super-2 number, since 2×151165505110002 (a number of 27 digits) contains 22 as substring.

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, 112175662 + ... + 112310338.

Almost surely, 215116550511000 is an apocalyptic number.

15116550511000 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 15116550511000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17868807684000).

15116550511000 is an abundant number, since it is smaller than the sum of its proper divisors (20621064857000).

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

15116550511000 is a wasteful number, since it uses less digits than its factorization.

15116550511000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135854 (or 135840 counting only the distinct ones).

The product of its (nonzero) digits is 3750, while the sum is 31.

The spelling of 15116550511000 in words is "fifteen trillion, one hundred sixteen billion, five hundred fifty million, five hundred eleven thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 107 125 200 214 250 428 500 535 856 1000 1049 1070 2098 2140 2675 4196 4280 5245 5350 8392 10490 10700 13375 20980 21400 26225 26750 41960 52450 53500 104900 107000 112243 131125 134677 209800 224486 262250 269354 448972 524500 538708 561215 673385 897944 1049000 1077416 1122430 1346770 2244860 2693540 2806075 3366925 4489720 5387080 5612150 6733850 11224300 13467700 14030375 14410439 16834625 22448600 26935400 28060750 28820878 33669250 56121500 57641756 67338500 72052195 112243000 115283512 134677000 141276173 144104390 282552346 288208780 360260975 565104692 576417560 706380865 720521950 1130209384 1412761730 1441043900 1801304875 2825523460 2882087800 3531904325 3602609750 5651046920 7063808650 7205219500 14127617300 14410439000 15116550511 17659521625 28255234600 30233101022 35319043250 60466202044 70638086500 75582752555 120932404088 141276173000 151165505110 302331010220 377913762775 604662020440 755827525550 1511655051100 1889568813875 3023310102200 3779137627750 7558275255500 15116550511000