Search a number
-
+
15100510000560 = 2435193311515351
BaseRepresentation
bin1101101110111101110010…
…0010001101010110110000
31222110121001111122102201220
43123233130202031112300
53434401321030004220
652041024543425040
73115655500123155
oct333573442152660
958417044572656
1015100510000560
1148a20aa253646
12183a6b62b5180
13856c835a61aa
143a2c2357222c
151b2beb540540
hexdbbdc88d5b0

15100510000560 has 80 divisors (see below), whose sum is σ = 49275348437760. Its totient is φ = 3814865683200.

The previous prime is 15100510000523. The next prime is 15100510000591. The reversal of 15100510000560 is 6500001500151.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 15100510000560.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1655753116 + ... + 1655762235.

It is an arithmetic number, because the mean of its divisors is an integer number (615941855472).

Almost surely, 215100510000560 is an apocalyptic number.

15100510000560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

15100510000560 is an abundant number, since it is smaller than the sum of its proper divisors (34174838437200).

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

15100510000560 is a wasteful number, since it uses less digits than its factorization.

15100510000560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3311515386 (or 3311515380 counting only the distinct ones).

The product of its (nonzero) digits is 750, while the sum is 24.

The spelling of 15100510000560 in words is "fifteen trillion, one hundred billion, five hundred ten million, five hundred sixty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 38 40 48 57 60 76 80 95 114 120 152 190 228 240 285 304 380 456 570 760 912 1140 1520 2280 4560 3311515351 6623030702 9934546053 13246061404 16557576755 19869092106 26492122808 33115153510 39738184212 49672730265 52984245616 62918791669 66230307020 79476368424 99345460530 125837583338 132460614040 158952736848 188756375007 198690921060 251675166676 264921228080 314593958345 377512750014 397381842120 503350333352 629187916690 755025500028 794763684240 943781875035 1006700666704 1258375833380 1510051000056 1887563750070 2516751666760 3020102000112 3775127500140 5033503333520 7550255000280 15100510000560