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21253969994224 = 241117192411551343
BaseRepresentation
bin1001101010100100100110…
…10101001110000111110000
32210020212012201020101112011
410311102103111032013300
510241211112304303344
6113111534455012304
74322356122062602
oct465222325160760
983225181211464
1021253969994224
116854837a76640
1224731b366a094
13bb2318c85366
145369aa459172
1526cce7c10d34
hex13549354e1f0

21253969994224 has 160 divisors (see below), whose sum is σ = 50276949212160. Its totient is φ = 8578300723200.

The previous prime is 21253969994197. The next prime is 21253969994233. The reversal of 21253969994224 is 42249996935212.

It is a self number, because there is not a number n which added to its sum of digits gives 21253969994224.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12924697 + ... + 14476039.

It is an arithmetic number, because the mean of its divisors is an integer number (314230932576).

Almost surely, 221253969994224 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 21253969994224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25138474606080).

21253969994224 is an abundant number, since it is smaller than the sum of its proper divisors (29022979217936).

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

21253969994224 is a wasteful number, since it uses less digits than its factorization.

21253969994224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1551639 (or 1551633 counting only the distinct ones).

The product of its digits is 151165440, while the sum is 67.

The spelling of 21253969994224 in words is "twenty-one trillion, two hundred fifty-three billion, nine hundred sixty-nine million, nine hundred ninety-four thousand, two hundred twenty-four".

Divisors: 1 2 4 8 11 16 17 19 22 34 38 44 68 76 88 136 152 176 187 209 241 272 304 323 374 418 482 646 748 836 964 1292 1496 1672 1928 2584 2651 2992 3344 3553 3856 4097 4579 5168 5302 7106 8194 9158 10604 14212 16388 18316 21208 28424 32776 36632 42416 45067 50369 56848 65552 73264 77843 90134 100738 155686 180268 201476 311372 360536 402952 622744 721072 805904 856273 1245488 1551343 1712546 3102686 3425092 6205372 6850184 12410744 13700368 17064773 24821488 26372831 29475517 34129546 52745662 58951034 68259092 105491324 117902068 136518184 210982648 235804136 273036368 290101141 324230687 373873663 421965296 471608272 501083789 580202282 648461374 747747326 1002167578 1160404564 1296922748 1495494652 2004335156 2320809128 2593845496 2990989304 4008670312 4112610293 4641618256 5187690992 5511921679 5981978608 6355852271 7103599597 8017340624 8225220586 11023843358 12711704542 14207199194 16450441172 22047686716 25423409084 28414398388 32900882344 44095373432 50846818168 56828796776 65801764688 69914374981 78139595567 88190746864 101693636336 113657593552 120761193149 139828749962 156279191134 241522386298 279657499924 312558382268 483044772596 559314999848 625116764536 966089545192 1118629999696 1250233529072 1328373124639 1932179090384 2656746249278 5313492498556 10626984997112 21253969994224