Search a number
-
+
19944918680 = 2356117094783
BaseRepresentation
bin10010100100110011…
…110100111010011000
31220110222212211212212
4102210303310322120
5311321344344210
613055040454252
71304153003651
oct224463647230
956428784785
1019944918680
118505428675
123a4761a388
131b5b16073b
14d72c68528
157baeda805
hex4a4cf4e98

19944918680 has 64 divisors (see below), whose sum is σ = 45647971200. Its totient is φ = 7840949760.

The previous prime is 19944918677. The next prime is 19944918683. The reversal of 19944918680 is 8681944991.

It is an interprime number because it is at equal distance from previous prime (19944918677) and next prime (19944918683).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19944918683) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4167569 + ... + 4172351.

It is an arithmetic number, because the mean of its divisors is an integer number (713249550).

Almost surely, 219944918680 is an apocalyptic number.

19944918680 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 19944918680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22823985600).

19944918680 is an abundant number, since it is smaller than the sum of its proper divisors (25703052520).

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

19944918680 is a wasteful number, since it uses less digits than its factorization.

19944918680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6564 (or 6560 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 59.

The spelling of 19944918680 in words is "nineteen billion, nine hundred forty-four million, nine hundred eighteen thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 20 40 61 122 244 305 488 610 1220 1709 2440 3418 4783 6836 8545 9566 13672 17090 19132 23915 34180 38264 47830 68360 95660 104249 191320 208498 291763 416996 521245 583526 833992 1042490 1167052 1458815 2084980 2334104 2917630 4169960 5835260 8174147 11670520 16348294 32696588 40870735 65393176 81741470 163482940 326965880 498622967 997245934 1994491868 2493114835 3988983736 4986229670 9972459340 19944918680