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20848628067345 = 32513337347304763
BaseRepresentation
bin1001011110110001100110…
…00100011110110000010001
32201211002221201220000110200
410233120303010132300101
510213040442241123340
6112201421050445413
74251156303413001
oct457306304366021
981732851800420
1020848628067345
116708943026541
12240872b433869
13b8302b9caa50
14521116a2a001
152624c236e330
hex12f63311ec11

20848628067345 has 96 divisors (see below), whose sum is σ = 39145536323712. Its totient is φ = 10203958388736.

The previous prime is 20848628067341. The next prime is 20848628067391. The reversal of 20848628067345 is 54376082684802.

20848628067345 is a `hidden beast` number, since 2 + 0 + 8 + 4 + 8 + 6 + 280 + 6 + 7 + 345 = 666.

It is not a de Polignac number, because 20848628067345 - 22 = 20848628067341 is a prime.

It is not an unprimeable number, because it can be changed into a prime (20848628067341) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 68256934 + ... + 68561696.

It is an arithmetic number, because the mean of its divisors is an integer number (407766003372).

Almost surely, 220848628067345 is an apocalyptic number.

It is an amenable number.

20848628067345 is a deficient number, since it is larger than the sum of its proper divisors (18296908256367).

20848628067345 is a wasteful number, since it uses less digits than its factorization.

20848628067345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305471 (or 305468 counting only the distinct ones).

The product of its (nonzero) digits is 123863040, while the sum is 63.

The spelling of 20848628067345 in words is "twenty trillion, eight hundred forty-eight billion, six hundred twenty-eight million, sixty-seven thousand, three hundred forty-five".

Divisors: 1 3 5 9 13 15 39 45 65 117 195 337 347 585 1011 1041 1685 1735 3033 3123 4381 4511 5055 5205 13143 13533 15165 15615 21905 22555 39429 40599 65715 67665 116939 197145 202995 304763 350817 584695 914289 1052451 1520207 1523815 1754085 2742867 3961919 4560621 4571445 5262255 7601035 11885757 13681863 13714335 19809595 22803105 35657271 59428785 68409315 102705131 105752761 178286355 308115393 317258283 513525655 528763805 924346179 951774849 1335166703 1374785893 1540576965 1586291415 4005500109 4124357679 4621730895 4758874245 6675833515 6873929465 12016500327 12373073037 20027500545 20621788395 35638680457 60082501635 61865365185 106916041371 178193402285 320748124113 463302845941 534580206855 1389908537823 1603740620565 2316514229705 4169725613469 6949542689115 20848628067345