Search a number
-
+
18821098680 = 2335353643691
BaseRepresentation
bin10001100001110100…
…110010110010111000
31210120200012212122220
4101201310302302320
5302021200124210
612351333244040
71234255461546
oct214164626270
953520185586
1018821098680
117a8902400a
123793193620
131a0c38c9a7
14ca78c8d96
157524ebc70
hex461d32cb8

18821098680 has 128 divisors (see below), whose sum is σ = 56793381120. Its totient is φ = 4989726720.

The previous prime is 18821098649. The next prime is 18821098693. The reversal of 18821098680 is 8689012881.

It is a happy number.

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, 27237135 + ... + 27237825.

It is an arithmetic number, because the mean of its divisors is an integer number (443698290).

Almost surely, 218821098680 is an apocalyptic number.

18821098680 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 18821098680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28396690560).

18821098680 is an abundant number, since it is smaller than the sum of its proper divisors (37972282440).

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

18821098680 is a wasteful number, since it uses less digits than its factorization.

18821098680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1701 (or 1697 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 51.

The spelling of 18821098680 in words is "eighteen billion, eight hundred twenty-one million, ninety-eight thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 353 643 691 706 1059 1286 1382 1412 1765 1929 2073 2118 2572 2764 2824 3215 3455 3530 3858 4146 4236 5144 5295 5528 6430 6910 7060 7716 8292 8472 9645 10365 10590 12860 13820 14120 15432 16584 19290 20730 21180 25720 27640 38580 41460 42360 77160 82920 226979 243923 444313 453958 487846 680937 731769 888626 907916 975692 1134895 1219615 1332939 1361874 1463538 1777252 1815832 1951384 2221565 2269790 2439230 2665878 2723748 2927076 3404685 3554504 3658845 4443130 4539580 4878460 5331756 5447496 5854152 6664695 6809370 7317690 8886260 9079160 9756920 10663512 13329390 13618740 14635380 17772520 26658780 27237480 29270760 53317560 156842489 313684978 470527467 627369956 784212445 941054934 1254739912 1568424890 1882109868 2352637335 3136849780 3764219736 4705274670 6273699560 9410549340 18821098680