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2056753056270 = 2351167173537709
BaseRepresentation
bin11101111011100000000…
…010010000101000001110
321021121211122201211021010
4131323200002100220032
5232144212240300040
64212505335550050
7301411154344353
oct35734002205016
97247748654233
102056753056270
1172329a531a80
1229274252b326
1311bc493c7783
147179401862a
153877a65ce80
hex1dee0090a0e

2056753056270 has 128 divisors (see below), whose sum is σ = 5496927598080. Its totient is φ = 488324897280.

The previous prime is 2056753056233. The next prime is 2056753056313. The reversal of 2056753056270 is 726503576502.

It is a happy number.

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 63 ways as a sum of consecutive naturals, for example, 3556176 + ... + 4093884.

It is an arithmetic number, because the mean of its divisors is an integer number (42944746860).

Almost surely, 22056753056270 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2056753056270, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2748463799040).

2056753056270 is an abundant number, since it is smaller than the sum of its proper divisors (3440174541810).

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

2056753056270 is a wasteful number, since it uses less digits than its factorization.

2056753056270 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 537970.

The product of its (nonzero) digits is 2646000, while the sum is 48.

The spelling of 2056753056270 in words is "two trillion, fifty-six billion, seven hundred fifty-three million, fifty-six thousand, two hundred seventy".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 67 110 134 165 173 201 330 335 346 402 519 670 737 865 1005 1038 1474 1730 1903 2010 2211 2595 3685 3806 4422 5190 5709 7370 9515 11055 11418 11591 19030 22110 23182 28545 34773 57090 57955 69546 115910 127501 173865 255002 347730 382503 537709 637505 765006 1075418 1275010 1613127 1912515 2688545 3226254 3825030 5377090 5914799 8065635 11829598 16131270 17744397 29573995 35488794 36026503 59147990 72053006 88721985 93023657 108079509 177443970 180132515 186047314 216159018 279070971 360265030 396291533 465118285 540397545 558141942 792583066 930236570 1023260227 1080795090 1188874599 1395354855 1981457665 2046520454 2377749198 2790709710 3069780681 3962915330 5116301135 5944372995 6139561362 6232585019 10232602270 11888745990 12465170038 15348903405 18697755057 30697806810 31162925095 37395510114 62325850190 68558435209 93488775285 137116870418 186977550570 205675305627 342792176045 411350611254 685584352090 1028376528135 2056753056270