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20276656128 = 21134122231
BaseRepresentation
bin10010111000100101…
…010011100000000000
31221100010002212010000
4102320211103200000
5313011310444003
613152011040000
71315321506351
oct227045234000
957303085100
1020276656128
118665709953
123b1a740000
131bb1ac12a1
14da4d3dd28
157da1b81a3
hex4b8953800

20276656128 has 120 divisors (see below), whose sum is σ = 60565344840. Its totient is φ = 6758830080.

The previous prime is 20276656123. The next prime is 20276656159. The reversal of 20276656128 is 82165667202.

20276656128 is a `hidden beast` number, since 2 + 0 + 2 + 7 + 66 + 561 + 28 = 666.

It is a super-2 number, since 2×202766561282 (a number of 21 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20276656123) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 104773 + ... + 227003.

It is an arithmetic number, because the mean of its divisors is an integer number (504711207).

Almost surely, 220276656128 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 20276656128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30282672420).

20276656128 is an abundant number, since it is smaller than the sum of its proper divisors (40288688712).

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

20276656128 is an equidigital number, since it uses as much as digits as its factorization.

20276656128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122265 (or 122236 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 20276656128 in words is "twenty billion, two hundred seventy-six million, six hundred fifty-six thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 256 288 324 384 432 512 576 648 768 864 1024 1152 1296 1536 1728 2048 2304 2592 3072 3456 4608 5184 6144 6912 9216 10368 13824 18432 20736 27648 41472 55296 82944 122231 165888 244462 366693 488924 733386 977848 1100079 1466772 1955696 2200158 2933544 3300237 3911392 4400316 5867088 6600474 7822784 8800632 9900711 11734176 13200948 15645568 17601264 19801422 23468352 26401896 31291136 35202528 39602844 46936704 52803792 62582272 70405056 79205688 93873408 105607584 125164544 140810112 158411376 187746816 211215168 250329088 281620224 316822752 375493632 422430336 563240448 633645504 750987264 844860672 1126480896 1267291008 1689721344 2252961792 2534582016 3379442688 5069164032 6758885376 10138328064 20276656128