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21516240366 = 23217277313811
BaseRepresentation
bin10100000010011101…
…111100010111101110
32001112111121021000100
4110002131330113232
5323031124142431
613515011411530
71361123011515
oct240235742756
961474537010
1021516240366
1191413a1935
1242058b3ba6
13204b864c9a
14108181567c
1585de224e6
hex50277c5ee

21516240366 has 96 divisors (see below), whose sum is σ = 49758535008. Its totient is φ = 6696069120.

The previous prime is 21516240359. The next prime is 21516240373. The reversal of 21516240366 is 66304261512.

21516240366 is a `hidden beast` number, since 2 + 1 + 51 + 6 + 240 + 366 = 666.

It is an interprime number because it is at equal distance from previous prime (21516240359) and next prime (21516240373).

It is a self number, because there is not a number n which added to its sum of digits gives 21516240366.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26530101 + ... + 26530911.

It is an arithmetic number, because the mean of its divisors is an integer number (518318073).

Almost surely, 221516240366 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21516240366, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24879267504).

21516240366 is an abundant number, since it is smaller than the sum of its proper divisors (28242294642).

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

21516240366 is a wasteful number, since it uses less digits than its factorization.

21516240366 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1426 (or 1423 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 21516240366 in words is "twenty-one billion, five hundred sixteen million, two hundred forty thousand, three hundred sixty-six".

Divisors: 1 2 3 6 9 17 18 34 51 102 153 277 306 313 554 626 811 831 939 1622 1662 1878 2433 2493 2817 4709 4866 4986 5321 5634 7299 9418 10642 13787 14127 14598 15963 27574 28254 31926 41361 42381 47889 82722 84762 86701 95778 124083 173402 224647 248166 253843 260103 449294 507686 520206 673941 761529 780309 1347882 1473917 1523058 1560618 2021823 2284587 2947834 3818999 4043646 4315331 4421751 4569174 7637998 8630662 8843502 11456997 12945993 13265253 22913994 25891986 26530506 34370991 38837979 68741982 70314511 77675958 140629022 210943533 421887066 632830599 1195346687 1265661198 2390693374 3586040061 7172080122 10758120183 21516240366