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21233637664 = 2519326912781
BaseRepresentation
bin10011110001100111…
…111001100100100000
32000210210211112222121
4103301213321210200
5321441302401124
613430554314024
71351121641111
oct236147714440
960723745877
1021233637664
119006920288
124147128914
132005148a55
141056090208
158441ed2e4
hex4f19f9920

21233637664 has 48 divisors (see below), whose sum is σ = 42179833080. Its totient is φ = 10521722880.

The previous prime is 21233637613. The next prime is 21233637679. The reversal of 21233637664 is 46673633212.

It can be written as a sum of positive squares in 4 ways, for example, as 13108418064 + 8125219600 = 114492^2 + 90140^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 21233637664.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 1654954 + ... + 1667734.

Almost surely, 221233637664 is an apocalyptic number.

It is an amenable number.

21233637664 is a deficient number, since it is larger than the sum of its proper divisors (20946195416).

21233637664 is a wasteful number, since it uses less digits than its factorization.

21233637664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13253 (or 13245 counting only the distinct ones).

The product of its digits is 653184, while the sum is 43.

It can be divided in two parts, 212336 and 37664, that added together give a square (250000 = 5002).

The spelling of 21233637664 in words is "twenty-one billion, two hundred thirty-three million, six hundred thirty-seven thousand, six hundred sixty-four".

Divisors: 1 2 4 8 16 32 193 269 386 538 772 1076 1544 2152 3088 4304 6176 8608 12781 25562 51124 51917 102248 103834 204496 207668 408992 415336 830672 1661344 2466733 3438089 4933466 6876178 9866932 13752356 19733864 27504712 39467728 55009424 78935456 110018848 663551177 1327102354 2654204708 5308409416 10616818832 21233637664