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21004282880 = 21057586057
BaseRepresentation
bin10011100011111100…
…111110110000000000
32000012211021010100222
4103203330332300000
5321004044023010
613352122402212
71342335313220
oct234374766000
960184233328
1021004282880
1189a9408679
1240a2360368
131c99784369
14103382a080
1582dee6355
hex4e3f3ec00

21004282880 has 88 divisors (see below), whose sum is σ = 57583714848. Its totient is φ = 7201456128.

The previous prime is 21004282879. The next prime is 21004282889. The reversal of 21004282880 is 8828240012.

It is a super-2 number, since 2×210042828802 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 21004282880.

It is not an unprimeable number, because it can be changed into a prime (21004282889) 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 7 ways as a sum of consecutive naturals, for example, 257189 + ... + 328868.

It is an arithmetic number, because the mean of its divisors is an integer number (654360396).

Almost surely, 221004282880 is an apocalyptic number.

21004282880 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21004282880 is an abundant number, since it is smaller than the sum of its proper divisors (36579431968).

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

21004282880 is an equidigital number, since it uses as much as digits as its factorization.

21004282880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 586089 (or 586071 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 35.

The spelling of 21004282880 in words is "twenty-one billion, four million, two hundred eighty-two thousand, eight hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 224 256 280 320 448 512 560 640 896 1024 1120 1280 1792 2240 2560 3584 4480 5120 7168 8960 17920 35840 586057 1172114 2344228 2930285 4102399 4688456 5860570 8204798 9376912 11721140 16409596 18753824 20511995 23442280 32819192 37507648 41023990 46884560 65638384 75015296 82047980 93769120 131276768 150030592 164095960 187538240 262553536 300061184 328191920 375076480 525107072 600122368 656383840 750152960 1050214144 1312767680 1500305920 2100428288 2625535360 3000611840 4200856576 5251070720 10502141440 21004282880