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21768755984 = 241759777317
BaseRepresentation
bin10100010001100001…
…001101101100010000
32002012002202101022122
4110101201031230100
5324040300142414
614000031553412
71400310241613
oct242141155420
962162671278
1021768755984
119260993628
12427638b868
13208bc78701
1410a718817a
158761a1b8e
hex51184db10

21768755984 has 20 divisors (see below), whose sum is σ = 42179907084. Its totient is φ = 10883618688.

The previous prime is 21768755971. The next prime is 21768755993. The reversal of 21768755984 is 48955786712.

It can be written as a sum of positive squares in 2 ways, for example, as 6336160000 + 15432595984 = 79600^2 + 124228^2 .

It is a Smith number, since the sum of its digits (62) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 242894 + ... + 320210.

Almost surely, 221768755984 is an apocalyptic number.

It is an amenable number.

21768755984 is a deficient number, since it is larger than the sum of its proper divisors (20411151100).

21768755984 is a wasteful number, since it uses less digits than its factorization.

21768755984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94922 (or 94916 counting only the distinct ones).

The product of its digits is 33868800, while the sum is 62.

The spelling of 21768755984 in words is "twenty-one billion, seven hundred sixty-eight million, seven hundred fifty-five thousand, nine hundred eighty-four".

Divisors: 1 2 4 8 16 17597 35194 70388 77317 140776 154634 281552 309268 618536 1237072 1360547249 2721094498 5442188996 10884377992 21768755984