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9056776428864 = 263343121888141
BaseRepresentation
bin1000001111001011000111…
…1100010001110101000000
31012001211010022200020211000
42003302301330101311000
52141341234231210424
631132343050252000
71623221235311343
oct203626174216500
935054108606730
109056776428864
112981a5920350a
121023320127000
13509086817628
142344c93b645a
1510a8c2e273c9
hex83cb1f11d40

9056776428864 has 112 divisors (see below), whose sum is σ = 27244437499840. Its totient is φ = 2948717882880.

The previous prime is 9056776428857. The next prime is 9056776428871. The reversal of 9056776428864 is 4688246776509.

9056776428864 is a `hidden beast` number, since 9 + 0 + 56 + 7 + 76 + 428 + 86 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (9056776428857) and next prime (9056776428871).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 9056776428792 and 9056776428801.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 60869767 + ... + 61018374.

Almost surely, 29056776428864 is an apocalyptic number.

It is an amenable number.

9056776428864 is an abundant number, since it is smaller than the sum of its proper divisors (18187661070976).

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

9056776428864 is a wasteful number, since it uses less digits than its factorization.

9056776428864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121888205 (or 121888189 counting only the distinct ones).

The product of its (nonzero) digits is 975421440, while the sum is 72.

The spelling of 9056776428864 in words is "nine trillion, fifty-six billion, seven hundred seventy-six million, four hundred twenty-eight thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 43 48 54 64 72 86 96 108 129 144 172 192 216 258 288 344 387 432 516 576 688 774 864 1032 1161 1376 1548 1728 2064 2322 2752 3096 4128 4644 6192 8256 9288 12384 18576 24768 37152 74304 121888141 243776282 365664423 487552564 731328846 975105128 1096993269 1462657692 1950210256 2193986538 2925315384 3290979807 3900420512 4387973076 5241190063 5850630768 6581959614 7800841024 8775946152 10482380126 11701261536 13163919228 15723570189 17551892304 20964760252 23402523072 26327838456 31447140378 35103784608 41929520504 47170710567 52655676912 62894280756 70207569216 83859041008 94341421134 105311353824 125788561512 141512131701 167718082016 188682842268 210622707648 251577123024 283024263402 335436164032 377365684536 503154246048 566048526804 754731369072 1006308492096 1132097053608 1509462738144 2264194107216 3018925476288 4528388214432 9056776428864