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2056103148 = 22311217312687
BaseRepresentation
bin111101010001101…
…1010010011101100
312022021220212021110
41322203122103230
513202330300043
6540005232020
7101644405551
oct17243322354
95267825243
102056103148
11965686800
12494702610
13269c8b6a8
14157100a28
15c0795b33
hex7a8da4ec

2056103148 has 144 divisors (see below), whose sum is σ = 5765824512. Its totient is φ = 567283200.

The previous prime is 2056103143. The next prime is 2056103177. The reversal of 2056103148 is 8413016502.

It is a super-3 number, since 3×20561031483 (a number of 29 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2056103143) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 763861 + ... + 766547.

It is an arithmetic number, because the mean of its divisors is an integer number (40040448).

Almost surely, 22056103148 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 2056103148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2882912256).

2056103148 is an abundant number, since it is smaller than the sum of its proper divisors (3709721364).

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

2056103148 is a wasteful number, since it uses less digits than its factorization.

2056103148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2764 (or 2751 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 2056103148 is about 45344.2735965634. The cubic root of 2056103148 is about 1271.5935002042.

The spelling of 2056103148 in words is "two billion, fifty-six million, one hundred three thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 11 12 17 22 31 33 34 44 51 62 66 68 93 102 121 124 132 186 187 204 242 341 363 372 374 484 527 561 682 726 748 1023 1054 1122 1364 1452 1581 2046 2057 2108 2244 2687 3162 3751 4092 4114 5374 5797 6171 6324 7502 8061 8228 10748 11253 11594 12342 15004 16122 17391 22506 23188 24684 29557 32244 34782 45012 45679 59114 63767 69564 83297 88671 91358 118228 127534 137037 166594 177342 182716 191301 249891 255068 274074 325127 333188 354684 382602 499782 502469 548148 650254 765204 916267 975381 999564 1004938 1300508 1416049 1507407 1832534 1950762 2009876 2748801 2832098 3014814 3665068 3901524 4248147 5497602 5527159 5664196 6029628 8496294 10078937 10995204 11054318 15576539 16581477 16992588 20157874 22108636 30236811 31153078 33162954 40315748 46729617 60473622 62306156 66325908 93459234 120947244 171341929 186918468 342683858 514025787 685367716 1028051574 2056103148