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2120214928632 = 2332959202925447
BaseRepresentation
bin11110110110100110101…
…010000101110011111000
321111200122102102222010020
4132312212222011303320
5234214200010204012
64302002512050440
7306115621352403
oct36664652056370
97450572388106
102120214928632
117481a6064a79
122a2ab3833a20
13124c21131a38
1474894582d3a
153a241c8aa8c
hex1eda6a85cf8

2120214928632 has 128 divisors (see below), whose sum is σ = 5579219520000. Its totient is φ = 670445508096.

The previous prime is 2120214928631. The next prime is 2120214928639. The reversal of 2120214928632 is 2368294120212.

It is a super-2 number, since 2×21202149286322 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2120214928631) by changing a digit.

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, 83306133 + ... + 83331579.

It is an arithmetic number, because the mean of its divisors is an integer number (43587652500).

Almost surely, 22120214928632 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 2120214928632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2789609760000).

2120214928632 is an abundant number, since it is smaller than the sum of its proper divisors (3459004591368).

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

2120214928632 is a wasteful number, since it uses less digits than its factorization.

2120214928632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27573 (or 27569 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 42.

The spelling of 2120214928632 in words is "two trillion, one hundred twenty billion, two hundred fourteen million, nine hundred twenty-eight thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 24 29 58 59 87 116 118 174 177 232 236 348 354 472 696 708 1416 1711 2029 3422 4058 5133 6087 6844 8116 10266 12174 13688 16232 20532 24348 25447 41064 48696 50894 58841 76341 101788 117682 119711 152682 176523 203576 235364 239422 305364 353046 359133 470728 478844 610728 706092 718266 737963 957688 1412184 1436532 1475926 1501373 2213889 2873064 2951852 3002746 3471619 4427778 4504119 5903704 6005492 6943238 8855556 9008238 10414857 12010984 13886476 17711112 18016476 20829714 27772952 36032952 41659428 43539817 51631963 83318856 87079634 103263926 130619451 154895889 174159268 206527852 261238902 309791778 348318536 413055704 522477804 619583556 1044955608 1239167112 1497326927 2994653854 3046285817 4491980781 5989307708 6092571634 8983961562 9138857451 11978615416 12185143268 17967923124 18277714902 24370286536 35935846248 36555429804 73110859608 88342288693 176684577386 265026866079 353369154772 530053732158 706738309544 1060107464316 2120214928632