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20775877056 = 2633111093007
BaseRepresentation
bin10011010110010101…
…101011100111000000
31222121220110220111000
4103112111223213000
5320022111031211
613313323052000
71333563020064
oct232625534700
958556426430
1020775877056
1188a1493a30
124039971000
131c6136289c
141011371aa4
15818e2a656
hex4d656b9c0

20775877056 has 112 divisors (see below), whose sum is σ = 66629767680. Its totient is φ = 6295714560.

The previous prime is 20775877051. The next prime is 20775877061. The reversal of 20775877056 is 65077857702.

20775877056 is a `hidden beast` number, since 2 + 0 + 7 + 7 + 587 + 7 + 0 + 56 = 666.

It is an interprime number because it is at equal distance from previous prime (20775877051) and next prime (20775877061).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 20775876993 and 20775877011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20775877051) 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 15 ways as a sum of consecutive naturals, for example, 527496 + ... + 565511.

It is an arithmetic number, because the mean of its divisors is an integer number (594908640).

Almost surely, 220775877056 is an apocalyptic number.

It is an amenable number.

20775877056 is an abundant number, since it is smaller than the sum of its proper divisors (45853890624).

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

20775877056 is a wasteful number, since it uses less digits than its factorization.

20775877056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1093039 (or 1093023 counting only the distinct ones).

The product of its (nonzero) digits is 5762400, while the sum is 54.

The spelling of 20775877056 in words is "twenty billion, seven hundred seventy-five million, eight hundred seventy-seven thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 64 66 72 88 96 99 108 132 144 176 192 198 216 264 288 297 352 396 432 528 576 594 704 792 864 1056 1188 1584 1728 2112 2376 3168 4752 6336 9504 19008 1093007 2186014 3279021 4372028 6558042 8744056 9837063 12023077 13116084 17488112 19674126 24046154 26232168 29511189 34976224 36069231 39348252 48092308 52464336 59022378 69952448 72138462 78696504 96184616 104928672 108207693 118044756 144276924 157393008 192369232 209857344 216415386 236089512 288553848 314786016 324623079 384738464 432830772 472179024 577107696 629572032 649246158 769476928 865661544 944358048 1154215392 1298492316 1731323088 1888716096 2308430784 2596984632 3462646176 5193969264 6925292352 10387938528 20775877056