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11720402036240 = 2453188115973359
BaseRepresentation
bin1010101010001101111001…
…1001100110011000010000
31112111110101222011220100012
42222203132121212120100
53014011340410124430
640532140043214052
72316525326356142
oct252433631463020
945443358156305
1011720402036240
11380965a443387
1213935aab17328
136702c9640c91
142c73b02d6c92
15154d1b944695
hexaa8de666610

11720402036240 has 160 divisors (see below), whose sum is σ = 28186915921920. Its totient is φ = 4527594086400.

The previous prime is 11720402036173. The next prime is 11720402036443. The reversal of 11720402036240 is 4263020402711.

It is a junction number, because it is equal to n+sod(n) for n = 11720402036197 and 11720402036206.

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, 3489251681 + ... + 3489255039.

It is an arithmetic number, because the mean of its divisors is an integer number (176168224512).

Almost surely, 211720402036240 is an apocalyptic number.

11720402036240 is a gapful number since it is divisible by the number (10) 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 11720402036240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14093457960960).

11720402036240 is an abundant number, since it is smaller than the sum of its proper divisors (16466513885680).

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

11720402036240 is a wasteful number, since it uses less digits than its factorization.

11720402036240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5881 (or 5875 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 32.

Adding to 11720402036240 its reverse (4263020402711), we get a palindrome (15983422438951).

The spelling of 11720402036240 in words is "eleven trillion, seven hundred twenty billion, four hundred two million, thirty-six thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 31 40 62 80 124 155 248 310 496 620 881 1240 1597 1762 2480 3194 3359 3524 4405 6388 6718 7048 7985 8810 12776 13436 14096 15970 16795 17620 25552 26872 27311 31940 33590 35240 49507 53744 54622 63880 67180 70480 99014 104129 109244 127760 134360 136555 198028 208258 218488 247535 268720 273110 396056 416516 436976 495070 520645 546220 792112 833032 990140 1041290 1092440 1406957 1666064 1980280 2082580 2184880 2813914 2959279 3960560 4165160 5364323 5627828 5918558 7034785 8330320 10728646 11255656 11837116 14069570 14796395 21457292 22511312 23674232 26821615 28139140 29592790 42914584 43615667 47348464 53643230 56278280 59185580 85829168 87231334 91737649 107286460 112556560 118371160 166294013 174462668 183475298 214572920 218078335 236742320 332588026 348925336 366950596 429145840 436156670 458688245 665176052 697850672 733901192 831470065 872313340 917376490 1330352104 1467802384 1662940130 1744626680 1834752980 2660704208 3325880260 3489253360 3669505960 4725968563 6651760520 7339011920 9451937126 13303521040 18903874252 23629842815 37807748504 47259685630 75615497008 94519371260 146505025453 189038742520 293010050906 378077485040 586020101812 732525127265 1172040203624 1465050254530 2344080407248 2930100509060 5860201018120 11720402036240