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20851407584 = 257487191143
BaseRepresentation
bin10011011010110101…
…110011101011100000
31222211011121020212222
4103122311303223200
5320200430020314
613325022010212
71335501016520
oct233265635340
958734536788
1020851407584
118930092157
12405b116968
131c73bb97c7
14101b3d3680
15820899c8e
hex4dad73ae0

20851407584 has 48 divisors (see below), whose sum is σ = 47012249088. Its totient is φ = 8917921152.

The previous prime is 20851407529. The next prime is 20851407589. The reversal of 20851407584 is 48570415802.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20851407589) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13517 + ... + 204659.

It is an arithmetic number, because the mean of its divisors is an integer number (979421856).

Almost surely, 220851407584 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 20851407584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23506124544).

20851407584 is an abundant number, since it is smaller than the sum of its proper divisors (26160841504).

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

20851407584 is a wasteful number, since it uses less digits than its factorization.

20851407584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191647 (or 191639 counting only the distinct ones).

The product of its (nonzero) digits is 358400, while the sum is 44.

The spelling of 20851407584 in words is "twenty billion, eight hundred fifty-one million, four hundred seven thousand, five hundred eighty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 487 974 1948 3409 3896 6818 7792 13636 15584 27272 54544 109088 191143 382286 764572 1338001 1529144 2676002 3058288 5352004 6116576 10704008 21408016 42816032 93086641 186173282 372346564 651606487 744693128 1303212974 1489386256 2606425948 2978772512 5212851896 10425703792 20851407584