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20627282016 = 2533112170379
BaseRepresentation
bin10011001101011110…
…110101100001100000
31222020112212111102000
4103031132311201200
5314221041011031
613250454124000
71330110001305
oct231536654140
958215774360
1020627282016
118825621310
123bb8050600
131c39636323
14dd97310ac
1580ad773e6
hex4cd7b5860

20627282016 has 96 divisors (see below), whose sum is σ = 65632291200. Its totient is φ = 6250688640.

The previous prime is 20627282009. The next prime is 20627282041. The reversal of 20627282016 is 61028272602.

20627282016 is a `hidden beast` number, since 2 + 0 + 627 + 2 + 8 + 20 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1075686 + ... + 1094693.

It is an arithmetic number, because the mean of its divisors is an integer number (683669700).

Almost surely, 220627282016 is an apocalyptic number.

It is an amenable number.

20627282016 is an abundant number, since it is smaller than the sum of its proper divisors (45005009184).

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

20627282016 is a wasteful number, since it uses less digits than its factorization.

20627282016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2170409 (or 2170395 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 20627282016 in words is "twenty billion, six hundred twenty-seven million, two hundred eighty-two thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 66 72 88 96 99 108 132 144 176 198 216 264 288 297 352 396 432 528 594 792 864 1056 1188 1584 2376 3168 4752 9504 2170379 4340758 6511137 8681516 13022274 17363032 19533411 23874169 26044548 34726064 39066822 47748338 52089096 58600233 69452128 71622507 78133644 95496676 104178192 117200466 143245014 156267288 190993352 208356384 214867521 234400932 286490028 312534576 381986704 429735042 468801864 572980056 625069152 644602563 763973408 859470084 937603728 1145960112 1289205126 1718940168 1875207456 2291920224 2578410252 3437880336 5156820504 6875760672 10313641008 20627282016