Search a number
-
+
1024981516580 = 2257103193368293
BaseRepresentation
bin11101110101001011010…
…10001100000100100100
310121222122201112221210212
432322211222030010210
5113243130232012310
62102511531034552
7134023666065620
oct16724552140444
93558581487725
101024981516580
1136576838806a
1214679429ba58
1375869a30008
143787617c180
151b9de9d7205
hexeea5a8c124

1024981516580 has 96 divisors (see below), whose sum is σ = 2496715113984. Its totient is φ = 346206265344.

The previous prime is 1024981516561. The next prime is 1024981516627. The reversal of 1024981516580 is 856151894201.

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, 2598914 + ... + 2967206.

It is an arithmetic number, because the mean of its divisors is an integer number (26007449104).

Almost surely, 21024981516580 is an apocalyptic number.

1024981516580 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 1024981516580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1248357556992).

1024981516580 is an abundant number, since it is smaller than the sum of its proper divisors (1471733597404).

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

1024981516580 is a wasteful number, since it uses less digits than its factorization.

1024981516580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 368605 (or 368603 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 50.

The spelling of 1024981516580 in words is "one trillion, twenty-four billion, nine hundred eighty-one million, five hundred sixteen thousand, five hundred eighty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 103 140 193 206 386 412 515 721 772 965 1030 1351 1442 1930 2060 2702 2884 3605 3860 5404 6755 7210 13510 14420 19879 27020 39758 79516 99395 139153 198790 278306 368293 397580 556612 695765 736586 1391530 1473172 1841465 2578051 2783060 3682930 5156102 7365860 10312204 12890255 25780510 37934179 51561020 71080549 75868358 142161098 151736716 189670895 265539253 284322196 355402745 379341790 497563843 531078506 710805490 758683580 995127686 1062157012 1327696265 1421610980 1990255372 2487819215 2655392530 4975638430 5310785060 7321296547 9951276860 14642593094 29285186188 36606482735 51249075829 73212965470 102498151658 146425930940 204996303316 256245379145 512490758290 1024981516580