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21363528256 = 267197334381
BaseRepresentation
bin10011111001010111…
…011001001001000000
32001010212020200101021
4103321113121021000
5322223030401011
613451514315224
71354256664640
oct237127311100
961125220337
1021363528256
119073177a84
124182728b14
1320260267a5
141069422520
15850809471
hex4f95d9240

21363528256 has 112 divisors (see below), whose sum is σ = 51699525760. Its totient is φ = 8554844160.

The previous prime is 21363528163. The next prime is 21363528269. The reversal of 21363528256 is 65282536312.

It is a tau number, because it is divible by the number of its divisors (112).

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, 604186 + ... + 638566.

Almost surely, 221363528256 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 21363528256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25849762880).

21363528256 is an abundant number, since it is smaller than the sum of its proper divisors (30335997504).

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

21363528256 is a wasteful number, since it uses less digits than its factorization.

21363528256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34492 (or 34482 counting only the distinct ones).

The product of its digits is 518400, while the sum is 43.

The spelling of 21363528256 in words is "twenty-one billion, three hundred sixty-three million, five hundred twenty-eight thousand, two hundred fifty-six".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 56 64 73 76 112 133 146 152 224 266 292 304 448 511 532 584 608 1022 1064 1168 1216 1387 2044 2128 2336 2774 4088 4256 4672 5548 8176 8512 9709 11096 16352 19418 22192 32704 34381 38836 44384 68762 77672 88768 137524 155344 240667 275048 310688 481334 550096 621376 653239 962668 1100192 1306478 1925336 2200384 2509813 2612956 3850672 4572673 5019626 5225912 7701344 9145346 10039252 10451824 15402688 17568691 18290692 20078504 20903648 35137382 36581384 40157008 41807296 47686447 70274764 73162768 80314016 95372894 140549528 146325536 160628032 190745788 281099056 292651072 333805129 381491576 562198112 667610258 762983152 1124396224 1335220516 1525966304 2670441032 3051932608 5340882064 10681764128 21363528256