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21813925209444 = 2232239232572
BaseRepresentation
bin1001111010110111100110…
…10000110110010101100100
32212020101112221202121100100
410331123303100312111210
510324344404323200234
6114221102350344100
74411001254633134
oct475336320662544
985211487677310
1021813925209444
116a50263102685
1225438274bb030
13c230764ac934
14555b2a1d4ac4
1527c66c19c399
hex13d6f3436564

21813925209444 has 81 divisors (see below), whose sum is σ = 55389441455257. Its totient is φ = 7238661342528.

The previous prime is 21813925209421. The next prime is 21813925209469. The reversal of 21813925209444 is 44490252931812.

The square root of 21813925209444 is 4670538.

It is a perfect power (a square), and thus also a powerful number.

21813925209444 is a `hidden beast` number, since 2 + 1 + 8 + 1 + 392 + 5 + 209 + 4 + 44 = 666.

It can be written as a sum of positive squares in only one way, i.e., 18692738720100 + 3121186489344 = 4323510^2 + 1766688^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 6697549864 + ... + 6697553120.

Almost surely, 221813925209444 is an apocalyptic number.

21813925209444 is the 4670538-th square number.

It is an amenable number.

21813925209444 is an abundant number, since it is smaller than the sum of its proper divisors (33575516245813).

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

21813925209444 is an frugal number, since it uses more digits than its factorization.

21813925209444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7002 (or 3501 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 21813925209444 in words is "twenty-one trillion, eight hundred thirteen billion, nine hundred twenty-five million, two hundred nine thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 239 478 717 956 1434 2151 2868 3257 4302 6514 8604 9771 13028 19542 29313 39084 57121 58626 114242 117252 171363 228484 342726 514089 685452 778423 1028178 1556846 2056356 2335269 3113692 4670538 7005807 9341076 10608049 14011614 21216098 28023228 31824147 42432196 63648294 95472441 127296588 186043097 190944882 372086194 381889764 558129291 744172388 1116258582 1674387873 2232517164 2535323711 3348775746 5070647422 6697551492 7605971133 10141294844 15211942266 22817913399 30423884532 45635826798 91271653596 605942366929 1211884733858 1817827100787 2423769467716 3635654201574 5453481302361 7271308403148 10906962604722 21813925209444