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2056834339824 = 2431171103952807
BaseRepresentation
bin11101111011100100111…
…000010101001111110000
321021122001022200110100010
4131323210320111033300
5232144344042333244
64212521402054520
7301413162264555
oct35734470251760
97248038613303
102056834339824
117233313aa570
122927657aa440
1311bc601b7154
14717a0b36a2c
1538782866eb9
hex1dee4e153f0

2056834339824 has 160 divisors (see below), whose sum is σ = 5883943403520. Its totient is φ = 613901433600.

The previous prime is 2056834339817. The next prime is 2056834339853. The reversal of 2056834339824 is 4289334386502.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38923629 + ... + 38976435.

It is an arithmetic number, because the mean of its divisors is an integer number (36774646272).

Almost surely, 22056834339824 is an apocalyptic number.

2056834339824 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2056834339824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2941971701760).

2056834339824 is an abundant number, since it is smaller than the sum of its proper divisors (3827109063696).

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

2056834339824 is a wasteful number, since it uses less digits than its factorization.

2056834339824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53939 (or 53933 counting only the distinct ones).

The product of its (nonzero) digits is 29859840, while the sum is 57.

The spelling of 2056834339824 in words is "two trillion, fifty-six billion, eight hundred thirty-four million, three hundred thirty-nine thousand, eight hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 71 88 132 142 176 213 264 284 426 528 568 781 852 1039 1136 1562 1704 2078 2343 3117 3124 3408 4156 4686 6234 6248 8312 9372 11429 12468 12496 16624 18744 22858 24936 34287 37488 45716 49872 52807 68574 73769 91432 105614 137148 147538 158421 182864 211228 221307 274296 295076 316842 422456 442614 548592 580877 590152 633684 811459 844912 885228 1161754 1180304 1267368 1622918 1742631 1770456 2323508 2434377 2534736 3245836 3485262 3540912 3749297 4647016 4868754 6491672 6970524 7498594 9294032 9737508 11247891 12983344 13941048 14997188 19475016 22495782 27882096 29994376 38950032 41242267 44991564 54866473 59988752 82484534 89983128 109732946 123726801 164599419 164969068 179966256 219465892 247453602 329198838 329938136 438931784 494907204 603531203 658397676 659876272 877863568 989814408 1207062406 1316795352 1810593609 1979628816 2414124812 2633590704 3621187218 3895519583 4828249624 7242374436 7791039166 9656499248 11686558749 14484748872 15582078332 23373117498 28969497744 31164156664 42850715413 46746234996 62328313328 85701430826 93492469992 128552146239 171402861652 186984939984 257104292478 342805723304 514208584956 685611446608 1028417169912 2056834339824