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20782989312 = 2143547773
BaseRepresentation
bin10011010110110000…
…110100000000000000
31222122101212020122220
4103112300310000000
5320030421124222
613314135331040
71334010331401
oct232660640000
958571766586
1020782989312
1188a5501528
124040220a80
131c62982c17
1410122a39a8
15819882b5c
hex4d6c34000

20782989312 has 120 divisors (see below), whose sum is σ = 55592754336. Its totient is φ = 6906052608.

The previous prime is 20782989301. The next prime is 20782989329. The reversal of 20782989312 is 21398928702.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26885758 + ... + 26886530.

Almost surely, 220782989312 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 20782989312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27796377168).

20782989312 is an abundant number, since it is smaller than the sum of its proper divisors (34809765024).

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

20782989312 is an frugal number, since it uses more digits than its factorization.

20782989312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1351 (or 1325 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 51.

The spelling of 20782989312 in words is "twenty billion, seven hundred eighty-two million, nine hundred eighty-nine thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 547 768 773 1024 1094 1536 1546 1641 2048 2188 2319 3072 3092 3282 4096 4376 4638 6144 6184 6564 8192 8752 9276 12288 12368 13128 16384 17504 18552 24576 24736 26256 35008 37104 49152 49472 52512 70016 74208 98944 105024 140032 148416 197888 210048 280064 296832 395776 420096 422831 560128 593664 791552 840192 845662 1120256 1187328 1268493 1583104 1680384 1691324 2240512 2374656 2536986 3166208 3360768 3382648 4481024 4749312 5073972 6332416 6721536 6765296 8962048 9498624 10147944 12664832 13443072 13530592 18997248 20295888 26886144 27061184 37994496 40591776 54122368 81183552 108244736 162367104 216489472 324734208 432978944 649468416 865957888 1298936832 1731915776 2597873664 3463831552 5195747328 6927663104 10391494656 20782989312