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20763840114 = 23231109487701
BaseRepresentation
bin10011010101100111…
…110000111001110010
31222121001211100220100
4103111213300321302
5320011020340424
613312213053230
71333355505003
oct232547607162
958531740810
1020763840114
118895712446
124035927216
131c5ba09b34
14100d91b1aa
15817d4ddc9
hex4d59f0e72

20763840114 has 96 divisors (see below), whose sum is σ = 47028833280. Its totient is φ = 6613488000.

The previous prime is 20763840077. The next prime is 20763840121. The reversal of 20763840114 is 41104836702.

20763840114 is a `hidden beast` number, since 2 + 0 + 7 + 638 + 4 + 0 + 1 + 14 = 666.

It is a super-2 number, since 2×207638401142 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 29619964 + ... + 29620664.

It is an arithmetic number, because the mean of its divisors is an integer number (489883680).

Almost surely, 220763840114 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20763840114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23514416640).

20763840114 is an abundant number, since it is smaller than the sum of its proper divisors (26264993166).

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

20763840114 is a wasteful number, since it uses less digits than its factorization.

20763840114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1336 (or 1333 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 20763840114 in words is "twenty billion, seven hundred sixty-three million, eight hundred forty thousand, one hundred fourteen".

Divisors: 1 2 3 6 9 18 31 62 93 109 186 218 279 327 487 558 654 701 974 981 1402 1461 1962 2103 2922 3379 4206 4383 6309 6758 8766 10137 12618 15097 20274 21731 30194 30411 43462 45291 53083 60822 65193 76409 90582 106166 130386 135873 152818 159249 195579 229227 271746 318498 341387 391158 458454 477747 682774 687681 955494 1024161 1375362 1645573 2048322 2368679 3072483 3291146 4737358 4936719 6144966 7106037 9873438 10582997 14212074 14810157 21165994 21318111 29620314 31748991 37211183 42636222 63497982 74422366 95246973 111633549 190493946 223267098 334900647 669801294 1153546673 2307093346 3460640019 6921280038 10381920057 20763840114