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21961246788 = 223213291618129
BaseRepresentation
bin10100011100111111…
…100000100001000100
32002200111221221001200
4110130333200201010
5324434034344123
614031105422500
71405135342365
oct243477404104
962614857050
1021961246788
11934a607838
12430a93aa30
1320bcb03ab0
1410c4973b6c
15888026143
hex51cfe0844

21961246788 has 72 divisors (see below), whose sum is σ = 61844928600. Its totient is φ = 6524292096.

The previous prime is 21961246771. The next prime is 21961246793. The reversal of 21961246788 is 88764216912.

It is a happy number.

21961246788 is a `hidden beast` number, since 2 + 1 + 96 + 12 + 467 + 88 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3724905024 + 18236341764 = 61032^2 + 135042^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 795493 + ... + 822636.

Almost surely, 221961246788 is an apocalyptic number.

It is an amenable number.

21961246788 is an abundant number, since it is smaller than the sum of its proper divisors (39883681812).

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

21961246788 is a wasteful number, since it uses less digits than its factorization.

21961246788 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1618181 (or 1618176 counting only the distinct ones).

The product of its digits is 2322432, while the sum is 54.

The spelling of 21961246788 in words is "twenty-one billion, nine hundred sixty-one million, two hundred forty-six thousand, seven hundred eighty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 26 29 36 39 52 58 78 87 116 117 156 174 234 261 348 377 468 522 754 1044 1131 1508 2262 3393 4524 6786 13572 1618129 3236258 4854387 6472516 9708774 14563161 19417548 21035677 29126322 42071354 46925741 58252644 63107031 84142708 93851482 126214062 140777223 187702964 189321093 252428124 281554446 378642186 422331669 563108892 610034633 757284372 844663338 1220069266 1689326676 1830103899 2440138532 3660207798 5490311697 7320415596 10980623394 21961246788