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20768695416 = 23327174123669
BaseRepresentation
bin10011010101111010…
…010010010001111000
31222121101222001010100
4103111322102101320
5320013241223131
613312505115400
71333444666260
oct232572222170
958541861110
1020768695416
118898429297
124037488b60
131c5ca19ab1
1410104227a0
158184ac7e6
hex4d5e92478

20768695416 has 96 divisors (see below), whose sum is σ = 64323698400. Its totient is φ = 5930254080.

The previous prime is 20768695403. The next prime is 20768695417. The reversal of 20768695416 is 61459686702.

20768695416 is a `hidden beast` number, since 20 + 76 + 8 + 6 + 9 + 541 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20768695417) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 865630 + ... + 889298.

It is an arithmetic number, because the mean of its divisors is an integer number (670038525).

Almost surely, 220768695416 is an apocalyptic number.

It is an amenable number.

20768695416 is an abundant number, since it is smaller than the sum of its proper divisors (43555002984).

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

20768695416 is a wasteful number, since it uses less digits than its factorization.

20768695416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25429 (or 25422 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 20768695416 in words is "twenty billion, seven hundred sixty-eight million, six hundred ninety-five thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 1741 3482 5223 6964 10446 12187 13928 15669 20892 23669 24374 31338 36561 41784 47338 48748 62676 71007 73122 94676 97496 109683 125352 142014 146244 165683 189352 213021 219366 284028 292488 331366 426042 438732 497049 568056 662732 852084 877464 994098 1325464 1491147 1704168 1988196 2982294 3976392 5964588 11929176 41207729 82415458 123623187 164830916 247246374 288454103 329661832 370869561 494492748 576908206 741739122 865362309 988985496 1153816412 1483478244 1730724618 2307632824 2596086927 2966956488 3461449236 5192173854 6922898472 10384347708 20768695416