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4288187790436 = 221144321992
BaseRepresentation
bin111110011001101011111…
…010001111010001100100
3120011221120011212022101011
4332121223322033101210
51030224202033243221
613041544414312004
7621545201544634
oct76315372172144
916157504768334
104288187790436
111403679240000
125930b54b8604
132514b3663614
1410b7997886c4
157682b6401e1
hex3e66be8f464

4288187790436 has 135 divisors (see below), whose sum is σ = 8493826136355. Its totient is φ = 1894279519440.

The previous prime is 4288187790377. The next prime is 4288187790437. The reversal of 4288187790436 is 6340977818824.

The square root of 4288187790436 is 2070794.

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4288187790437) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 21548682265 + ... + 21548682463.

Almost surely, 24288187790436 is an apocalyptic number.

4288187790436 is the 2070794-th square number.

It is an amenable number.

4288187790436 is a deficient number, since it is larger than the sum of its proper divisors (4205638345919).

4288187790436 is an frugal number, since it uses more digits than its factorization.

4288187790436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 532 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 130056192, while the sum is 67.

The spelling of 4288187790436 in words is "four trillion, two hundred eighty-eight billion, one hundred eighty-seven million, seven hundred ninety thousand, four hundred thirty-six".

Divisors: 1 2 4 11 22 43 44 86 121 172 199 242 398 473 484 796 946 1331 1849 1892 2189 2662 3698 4378 5203 5324 7396 8557 8756 10406 14641 17114 20339 20812 24079 29282 34228 39601 40678 48158 57233 58564 79202 81356 94127 96316 114466 158404 188254 223729 228932 264869 367951 376508 435611 447458 529738 629563 735902 871222 894916 1035397 1059476 1259126 1471804 1702843 1742444 2070794 2461019 2518252 2913559 3405686 4047461 4141588 4791721 4922038 5827118 6811372 8094922 9583442 9844076 11389367 11654236 16189844 18731273 19166884 22778734 27071209 37462546 44522071 45557468 52708931 54142418 73222249 74925092 89044142 105417862 108284836 125283037 146444498 178088284 206044003 210835724 250566074 292888996 412088006 489742781 501132148 579798241 805444739 824176012 979485562 1159596482 1610889478 1958971124 2266484033 2319192964 3221778956 4532968066 5387170591 8859892129 9065936132 10774341182 17719784258 21548682364 24931324363 35439568516 49862648726 97458813419 99725297452 194917626838 389835253676 1072046947609 2144093895218 4288187790436