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21991202417856 = 263722337500257
BaseRepresentation
bin1010000000000001110011…
…10011101110110011000000
32212212100010201002212201010
411000000321303232303000
510340300440304332411
6114434341404240520
74426545332223300
oct500007163566300
985770121085633
1021991202417856
117009464501181
122572061240140
13c369b8cba7a9
14560546547600
1528209581c7a6
hex140039ceecc0

21991202417856 has 84 divisors (see below), whose sum is σ = 67684657470648. Its totient is φ = 6283200688128.

The previous prime is 21991202417813. The next prime is 21991202417879. The reversal of 21991202417856 is 65871420219912.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (84).

It is a super-2 number, since 2×219912024178562 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 21991202417796 and 21991202417805.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1168740721 + ... + 1168759536.

Almost surely, 221991202417856 is an apocalyptic number.

It is an amenable number.

21991202417856 is an abundant number, since it is smaller than the sum of its proper divisors (45693455052792).

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

21991202417856 is a wasteful number, since it uses less digits than its factorization.

21991202417856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2337500286 (or 2337500269 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 57.

The spelling of 21991202417856 in words is "twenty-one trillion, nine hundred ninety-one billion, two hundred two million, four hundred seventeen thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 64 84 96 98 112 147 168 192 196 224 294 336 392 448 588 672 784 1176 1344 1568 2352 3136 4704 9408 2337500257 4675000514 7012500771 9350001028 14025001542 16362501799 18700002056 28050003084 32725003598 37400004112 49087505397 56100006168 65450007196 74800008224 98175010794 112200012336 114537512593 130900014392 149600016448 196350021588 224400024672 229075025186 261800028784 343612537779 392700043176 448800049344 458150050372 523600057568 687225075558 785400086352 916300100744 1047200115136 1374450151116 1570800172704 1832600201488 2748900302232 3141600345408 3665200402976 5497800604464 7330400805952 10995601208928 21991202417856