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21967012862405 = 5131483612277917
BaseRepresentation
bin1001111111010100101111…
…11111111001100111000101
32212210000200220012010210222
410333222113333321213011
510334401420243044110
6114415301214154125
74425031025336102
oct477522777714705
985700626163728
1021967012862405
116aaa18109a136
1225694301b2945
13c34632653180
1455d2cda87aa9
1528162bd86c55
hex13fa97ff99c5

21967012862405 has 16 divisors (see below), whose sum is σ = 28388343506544. Its totient is φ = 16221677652480.

The previous prime is 21967012862381. The next prime is 21967012862419. The reversal of 21967012862405 is 50426821076912.

It is a Cunningham number, because it is equal to 46868982+1.

It can be written as a sum of positive squares in 8 ways, for example, as 6669895072996 + 15297117789409 = 2582614^2 + 3911153^2 .

It is not a de Polignac number, because 21967012862405 - 26 = 21967012862341 is a prime.

It is a super-2 number, since 2×219670128624052 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8504507 + ... + 10782423.

It is an arithmetic number, because the mean of its divisors is an integer number (1774271469159).

Almost surely, 221967012862405 is an apocalyptic number.

It is an amenable number.

21967012862405 is a deficient number, since it is larger than the sum of its proper divisors (6421330644139).

21967012862405 is a wasteful number, since it uses less digits than its factorization.

21967012862405 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2426296.

The product of its (nonzero) digits is 2903040, while the sum is 53.

The spelling of 21967012862405 in words is "twenty-one trillion, nine hundred sixty-seven billion, twelve million, eight hundred sixty-two thousand, four hundred five".

Divisors: 1 5 13 65 148361 741805 1928693 2277917 9643465 11389585 29612921 148064605 337954044037 1689770220185 4393402572481 21967012862405