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21506993856 = 263325214937
BaseRepresentation
bin10100000001111010…
…101010111011000000
32001111212012111012000
4110001322222323000
5323021242300411
613514041304000
71360651300665
oct240172527300
961455174160
1021506993856
119137156897
124202795000
13204997838a
1410804c9a6c
1585d1e7956
hex501eaaec0

21506993856 has 112 divisors (see below), whose sum is σ = 63264470880. Its totient is φ = 7164702720.

The previous prime is 21506993843. The next prime is 21506993923. The reversal of 21506993856 is 65839960512.

It is a happy number.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 4353820 + ... + 4358756.

Almost surely, 221506993856 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 21506993856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31632235440).

21506993856 is an abundant number, since it is smaller than the sum of its proper divisors (41757477024).

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

21506993856 is a wasteful number, since it uses less digits than its factorization.

21506993856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7479 (or 7463 counting only the distinct ones).

The product of its (nonzero) digits is 3499200, while the sum is 54.

The spelling of 21506993856 in words is "twenty-one billion, five hundred six million, nine hundred ninety-three thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 216 288 432 576 864 1728 2521 4937 5042 7563 9874 10084 14811 15126 19748 20168 22689 29622 30252 39496 40336 44433 45378 59244 60504 68067 78992 80672 88866 90756 118488 121008 133299 136134 157984 161344 177732 181512 236976 242016 266598 272268 315968 355464 363024 473952 484032 533196 544536 710928 726048 947904 1066392 1089072 1421856 1452096 2132784 2178144 2843712 4265568 4356288 8531136 12446177 24892354 37338531 49784708 74677062 99569416 112015593 149354124 199138832 224031186 298708248 336046779 398277664 448062372 597416496 672093558 796555328 896124744 1194832992 1344187116 1792249488 2389665984 2688374232 3584498976 5376748464 7168997952 10753496928 21506993856