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20105496405344 = 257151159402171
BaseRepresentation
bin1001001001001001011001…
…11110001010010101100000
32122012001210121120011120202
410210210230332022111200
510113402024034432334
6110432200524124332
74143400641460520
oct444445476122540
978161717504522
1020105496405344
116451769631899
1223086b60966a8
13b2ac2b748c1c
144d717b27b680
1524cecb8d017e
hex12492cf8a560

20105496405344 has 48 divisors (see below), whose sum is σ = 45267306368256. Its totient is φ = 8610938563200.

The previous prime is 20105496405341. The next prime is 20105496405349. The reversal of 20105496405344 is 44350469450102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20105496405341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29362622 + ... + 30039549.

It is an arithmetic number, because the mean of its divisors is an integer number (943068882672).

Almost surely, 220105496405344 is an apocalyptic number.

It is an amenable number.

20105496405344 is an abundant number, since it is smaller than the sum of its proper divisors (25161809962912).

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

20105496405344 is a wasteful number, since it uses less digits than its factorization.

20105496405344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59403699 (or 59403691 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 47.

The spelling of 20105496405344 in words is "twenty trillion, one hundred five billion, four hundred ninety-six million, four hundred five thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 1511 3022 6044 10577 12088 21154 24176 42308 48352 84616 169232 338464 59402171 118804342 237608684 415815197 475217368 831630394 950434736 1663260788 1900869472 3326521576 6653043152 13306086304 89756680381 179513360762 359026721524 628296762667 718053443048 1256593525334 1436106886096 2513187050668 2872213772192 5026374101336 10052748202672 20105496405344