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21352525204224 = 283411811374443
BaseRepresentation
bin1001101101011100001011…
…01011100000101100000000
32210121021121012020210111010
410312232011223200230000
510244314432423013344
6113225114211120520
74332445323410424
oct466560553405400
983537535223433
1021352525204224
116892611900615
12248a3195a3140
13bbb6c4363476
1453b679668b84
152706651a98b9
hex136b85ae0b00

21352525204224 has 144 divisors (see below), whose sum is σ = 58247226543744. Its totient is φ = 6940057804800.

The previous prime is 21352525204223. The next prime is 21352525204243. The reversal of 21352525204224 is 42240252525312.

It is not an unprimeable number, because it can be changed into a prime (21352525204223) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 56837547 + ... + 57211989.

It is an arithmetic number, because the mean of its divisors is an integer number (404494628776).

Almost surely, 221352525204224 is an apocalyptic number.

21352525204224 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21352525204224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29123613271872).

21352525204224 is an abundant number, since it is smaller than the sum of its proper divisors (36894701339520).

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

21352525204224 is a wasteful number, since it uses less digits than its factorization.

21352525204224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 376314 (or 376300 counting only the distinct ones).

The product of its (nonzero) digits is 384000, while the sum is 39.

Adding to 21352525204224 its reverse (42240252525312), we get a palindrome (63592777729536).

The spelling of 21352525204224 in words is "twenty-one trillion, three hundred fifty-two billion, five hundred twenty-five million, two hundred four thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 64 82 96 123 128 164 192 246 256 328 384 492 656 768 984 1312 1811 1968 2624 3622 3936 5248 5433 7244 7872 10496 10866 14488 15744 21732 28976 31488 43464 57952 74251 86928 115904 148502 173856 222753 231808 297004 347712 374443 445506 463616 594008 695424 748886 891012 1123329 1188016 1390848 1497772 1782024 2246658 2376032 2995544 3564048 4493316 4752064 5991088 7128096 8986632 9504128 11982176 14256192 15352163 17973264 19008256 23964352 28512384 30704326 35946528 46056489 47928704 57024768 61408652 71893056 92112978 95857408 122817304 143786112 184225956 245634608 287572224 368451912 491269216 678116273 736903824 982538432 1356232546 1473807648 1965076864 2034348819 2712465092 2947615296 3930153728 4068697638 5424930184 5895230592 8137395276 10849860368 11790461184 16274790552 21699720736 27802767193 32549581104 43399441472 55605534386 65099162208 83408301579 86798882944 111211068772 130198324416 166816603158 173597765888 222422137544 260396648832 333633206316 444844275088 520793297664 667266412632 889688550176 1334532825264 1779377100352 2669065650528 3558754200704 5338131301056 7117508401408 10676262602112 21352525204224