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43980800656 = 241323721092
BaseRepresentation
bin101000111101011101…
…011100001010010000
311012112002122011101211
4220331131130022100
51210033041110111
632112101105504
73114612431422
oct507535341220
9135462564354
1043980800656
111771a019541
1286350b8294
1341bba11100
1421b3164812
151226218521
hexa3d75c290

43980800656 has 135 divisors (see below), whose sum is σ = 95711094801. Its totient is φ = 19569019392.

The previous prime is 43980800653. The next prime is 43980800683. The reversal of 43980800656 is 65600808934.

It is a happy number.

The square root of 43980800656 is 209716.

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

It can be written as a sum of positive squares in 13 ways, for example, as 10798535056 + 33182265600 = 103916^2 + 182160^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (43980800653) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 403493530 + ... + 403493638.

Almost surely, 243980800656 is an apocalyptic number.

43980800656 is the 209716-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 43980800656

43980800656 is an abundant number, since it is smaller than the sum of its proper divisors (51730294145).

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

43980800656 is a wasteful number, since it uses less digits than its factorization.

43980800656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 49.

Multiplying 43980800656 by its sum of digits (49), we get a square (2155059232144 = 14680122).

The spelling of 43980800656 in words is "forty-three billion, nine hundred eighty million, eight hundred thousand, six hundred fifty-six".

Divisors: 1 2 4 8 13 16 26 37 52 74 104 109 148 169 208 218 296 338 436 481 592 676 872 962 1352 1369 1417 1744 1924 2704 2738 2834 3848 4033 5476 5668 6253 7696 8066 10952 11336 11881 12506 16132 17797 18421 21904 22672 23762 25012 32264 35594 36842 47524 50024 52429 64528 71188 73684 95048 100048 104858 142376 147368 149221 154453 190096 209716 231361 284752 294736 298442 308906 419432 439597 462722 596884 617812 681577 838864 879194 925444 1193768 1235624 1363154 1758388 1850888 1939873 2007889 2387536 2471248 2726308 3516776 3701776 3879746 4015778 5452616 5714761 7033552 7759492 8031556 10905232 11429522 15518984 16063112 16265089 22859044 25218349 31037968 32126224 32530178 45718088 50436698 65060356 74291893 91436176 100873396 130120712 148583786 201746792 211446157 260241424 297167572 403493584 422892314 594335144 845784628 1188670288 1691569256 2748800041 3383138512 5497600082 10995200164 21990400328 43980800656