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20218258480 = 24573736817
BaseRepresentation
bin10010110101000110…
…100010010000110000
31221012001012221121011
4102311012202100300
5312401333232410
613142123240304
71314012235000
oct226506422060
957161187534
1020218258480
118635752932
123b03079094
131ba2985774
14d9b29c000
157d4ed018a
hex4b51a2430

20218258480 has 80 divisors (see below), whose sum is σ = 54819259200. Its totient is φ = 6931964928.

The previous prime is 20218258453. The next prime is 20218258493. The reversal of 20218258480 is 8485281202.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 340969 + ... + 395848.

It is an arithmetic number, because the mean of its divisors is an integer number (685240740).

Almost surely, 220218258480 is an apocalyptic number.

20218258480 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20218258480 is an abundant number, since it is smaller than the sum of its proper divisors (34601000720).

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

20218258480 is an equidigital number, since it uses as much as digits as its factorization.

20218258480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 736851 (or 736831 counting only the distinct ones).

The product of its (nonzero) digits is 81920, while the sum is 40.

The spelling of 20218258480 in words is "twenty billion, two hundred eighteen million, two hundred fifty-eight thousand, four hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 49 56 70 80 98 112 140 196 245 280 343 392 490 560 686 784 980 1372 1715 1960 2744 3430 3920 5488 6860 13720 27440 736817 1473634 2947268 3684085 5157719 5894536 7368170 10315438 11789072 14736340 20630876 25788595 29472680 36104033 41261752 51577190 58945360 72208066 82523504 103154380 144416132 180520165 206308760 252728231 288832264 361040330 412617520 505456462 577664528 722080660 1010912924 1263641155 1444161320 2021825848 2527282310 2888322640 4043651696 5054564620 10109129240 20218258480