Search a number
-
+
20510282294800 = 2452199544947287
BaseRepresentation
bin1001010100111011011000…
…00101110010011000010000
32200121202121211121220200121
410222131230011302120100
510142020024231413200
6111342143230400024
74214550625662154
oct452355405623020
980552554556617
1020510282294800
1165983a8720831
122373044060014
13b5a15a75accc
1450c9bacc9064
152587bd539e1a
hex12a76c172610

20510282294800 has 120 divisors (see below), whose sum is σ = 49533707120000. Its totient is φ = 8161215575040.

The previous prime is 20510282294701. The next prime is 20510282294809. The reversal of 20510282294800 is 849228201502.

It is not an unprimeable number, because it can be changed into a prime (20510282294809) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 433716757 + ... + 433764043.

Almost surely, 220510282294800 is an apocalyptic number.

20510282294800 is a gapful number since it is divisible by the number (20) 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 20510282294800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24766853560000).

20510282294800 is an abundant number, since it is smaller than the sum of its proper divisors (29023424825200).

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

20510282294800 is a wasteful number, since it uses less digits than its factorization.

20510282294800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52953 (or 52942 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 43.

The spelling of 20510282294800 in words is "twenty trillion, five hundred ten billion, two hundred eighty-two million, two hundred ninety-four thousand, eight hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 199 200 398 400 796 995 1592 1990 3184 3980 4975 5449 7960 9950 10898 15920 19900 21796 27245 39800 43592 47287 54490 79600 87184 94574 108980 136225 189148 217960 236435 272450 378296 435920 472870 544900 756592 945740 1084351 1089800 1182175 1891480 2168702 2179600 2364350 3782960 4337404 4728700 5421755 8674808 9410113 9457400 10843510 17349616 18820226 18914800 21687020 27108775 37640452 43374040 47050565 54217550 75280904 86748080 94101130 108435100 150561808 188202260 216870200 235252825 257666863 376404520 433740400 470505650 515333726 752809040 941011300 1030667452 1288334315 1882022600 2061334904 2576668630 3764045200 4122669808 5153337260 6441671575 10306674520 12883343150 20613349040 25766686300 51275705737 51533372600 102551411474 103066745200 205102822948 256378528685 410205645896 512757057370 820411291792 1025514114740 1281892643425 2051028229480 2563785286850 4102056458960 5127570573700 10255141147400 20510282294800