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20055074816 = 21172948239
BaseRepresentation
bin10010101011011000…
…000010100000000000
31220202200011100200202
4102223120002200000
5312033044343231
613114013504332
71306661215610
oct225330024000
956680140622
1020055074816
1185616265a7
123a784a20a8
131b77c1bb9a
14d83740a40
157c59e95cb
hex4ab602800

20055074816 has 96 divisors (see below), whose sum is σ = 47410272000. Its totient is φ = 8298479616.

The previous prime is 20055074789. The next prime is 20055074821. The reversal of 20055074816 is 61847055002.

It is a self number, because there is not a number n which added to its sum of digits gives 20055074816.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 391625 + ... + 439863.

It is an arithmetic number, because the mean of its divisors is an integer number (493857000).

Almost surely, 220055074816 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20055074816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23705136000).

20055074816 is an abundant number, since it is smaller than the sum of its proper divisors (27355197184).

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

20055074816 is an equidigital number, since it uses as much as digits as its factorization.

20055074816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48297 (or 48277 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 38.

The spelling of 20055074816 in words is "twenty billion, fifty-five million, seventy-four thousand, eight hundred sixteen".

Divisors: 1 2 4 7 8 14 16 28 29 32 56 58 64 112 116 128 203 224 232 256 406 448 464 512 812 896 928 1024 1624 1792 1856 2048 3248 3584 3712 6496 7168 7424 12992 14336 14848 25984 29696 48239 51968 59392 96478 103936 192956 207872 337673 385912 415744 675346 771824 1350692 1398931 1543648 2701384 2797862 3087296 5402768 5595724 6174592 9792517 10805536 11191448 12349184 19585034 21611072 22382896 24698368 39170068 43222144 44765792 49396736 78340136 86444288 89531584 98793472 156680272 172888576 179063168 313360544 345777152 358126336 626721088 691554304 716252672 1253442176 1432505344 2506884352 2865010688 5013768704 10027537408 20055074816