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20179782656 = 210111994291
BaseRepresentation
bin10010110010110011…
…110000110000000000
31221002100211011200122
4102302303300300000
5312312011021111
613134230435412
71313034215405
oct226263606000
957070734618
1020179782656
118615a63430
123ab2202b68
131b97a038c7
14d961242ac
157d192ecdb
hex4b2cf0c00

20179782656 has 88 divisors (see below), whose sum is σ = 46323773760. Its totient is φ = 8689766400.

The previous prime is 20179782641. The next prime is 20179782719. The reversal of 20179782656 is 65628797102.

It is a tau number, because it is divible by the number of its divisors (88).

It is a junction number, because it is equal to n+sod(n) for n = 20179782598 and 20179782607.

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 7 ways as a sum of consecutive naturals, for example, 166871 + ... + 261161.

It is an arithmetic number, because the mean of its divisors is an integer number (526406520).

Almost surely, 220179782656 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 20179782656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23161886880).

20179782656 is an abundant number, since it is smaller than the sum of its proper divisors (26143991104).

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

20179782656 is a wasteful number, since it uses less digits than its factorization.

20179782656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94341 (or 94323 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 53.

The spelling of 20179782656 in words is "twenty billion, one hundred seventy-nine million, seven hundred eighty-two thousand, six hundred fifty-six".

Divisors: 1 2 4 8 11 16 19 22 32 38 44 64 76 88 128 152 176 209 256 304 352 418 512 608 704 836 1024 1216 1408 1672 2432 2816 3344 4864 5632 6688 9728 11264 13376 19456 26752 53504 94291 107008 188582 214016 377164 754328 1037201 1508656 1791529 2074402 3017312 3583058 4148804 6034624 7166116 8297608 12069248 14332232 16595216 19706819 24138496 28664464 33190432 39413638 48276992 57328928 66380864 78827276 96553984 114657856 132761728 157654552 229315712 265523456 315309104 458631424 531046912 630618208 917262848 1062093824 1261236416 1834525696 2522472832 5044945664 10089891328 20179782656