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896021269056 = 2634131472
BaseRepresentation
bin11010000100111110000…
…01111000101001000000
310011122210021002121110000
431002133001320221000
5104140022421102211
61523343153240000
7121510146056604
oct15023701705100
93148707077400
10896021269056
11316000713401
121257a3863000
13666573a3644
1431520c0b504
15184930a8656
hexd09f078a40

896021269056 has 105 divisors (see below), whose sum is σ = 2656289784819. Its totient is φ = 298651038336.

The previous prime is 896021269051. The next prime is 896021269067. The reversal of 896021269056 is 650962120698.

It is a happy number.

The square root of 896021269056 is 946584.

It is a perfect power (a square), and thus also a powerful number.

896021269056 is a `hidden beast` number, since 8 + 9 + 602 + 1 + 26 + 9 + 0 + 5 + 6 = 666.

It is a super-2 number, since 2×8960212690562 (a number of 25 digits) contains 22 as substring.

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 = 896021268993 and 896021269011.

It is not an unprimeable number, because it can be changed into a prime (896021269051) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 68147475 + ... + 68160621.

Almost surely, 2896021269056 is an apocalyptic number.

896021269056 is the 946584-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 896021269056

896021269056 is an abundant number, since it is smaller than the sum of its proper divisors (1760268515763).

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

896021269056 is an frugal number, since it uses more digits than its factorization.

896021269056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26318 (or 13152 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The spelling of 896021269056 in words is "eight hundred ninety-six billion, twenty-one million, two hundred sixty-nine thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 288 324 432 576 648 864 1296 1728 2592 5184 13147 26294 39441 52588 78882 105176 118323 157764 210352 236646 315528 354969 420704 473292 631056 709938 841408 946584 1064907 1262112 1419876 1893168 2129814 2524224 2839752 3786336 4259628 5679504 7572672 8519256 11359008 17038512 22718016 34077024 68154048 172843609 345687218 518530827 691374436 1037061654 1382748872 1555592481 2074123308 2765497744 3111184962 4148246616 4666777443 5530995488 6222369924 8296493232 9333554886 11061990976 12444739848 14000332329 16592986464 18667109772 24889479696 28000664658 33185972928 37334219544 49778959392 56001329316 74668439088 99557918784 112002658632 149336878176 224005317264 298673756352 448010634528 896021269056