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21506216656 = 2417389439463
BaseRepresentation
bin10100000001110111…
…101101001011010000
32001111210202000001211
4110001313231023100
5323021042413111
613514012505504
71360641553051
oct240167551320
961453660054
1021506216656
119136775981
12420247b294
1320497656b2
141080366728
1585d0e2521
hex501ded2d0

21506216656 has 80 divisors (see below), whose sum is σ = 44429299200. Its totient is φ = 10049808384.

The previous prime is 21506216621. The next prime is 21506216657. The reversal of 21506216656 is 65661260512.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21506216657) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46449481 + ... + 46449943.

It is an arithmetic number, because the mean of its divisors is an integer number (555366240).

Almost surely, 221506216656 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21506216656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22214649600).

21506216656 is an abundant number, since it is smaller than the sum of its proper divisors (22923082544).

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

21506216656 is a wasteful number, since it uses less digits than its factorization.

21506216656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1316 (or 1310 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 40.

The spelling of 21506216656 in words is "twenty-one billion, five hundred six million, two hundred sixteen thousand, six hundred fifty-six".

Divisors: 1 2 4 8 16 17 34 68 136 272 389 439 463 778 878 926 1556 1756 1852 3112 3512 3704 6224 6613 7024 7408 7463 7871 13226 14926 15742 26452 29852 31484 52904 59704 62968 105808 119408 125936 170771 180107 203257 341542 360214 406514 683084 720428 813028 1366168 1440856 1626056 2732336 2881712 2903107 3061819 3252112 3455369 5806214 6123638 6910738 11612428 12247276 13821476 23224856 24494552 27642952 46449712 48989104 55285904 79066973 158133946 316267892 632535784 1265071568 1344138541 2688277082 5376554164 10753108328 21506216656