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82508122288443 = 33761277124935221
BaseRepresentation
bin10010110000101001101011…
…010100011111000100111011
3101211010200212220102120221110
4102300221223110133010323
541303303113301212233
6451251412541411403
723244005120610225
oct2260515324370473
9354120786376843
1082508122288443
112432055305a9a5
129306763269b63
133706637202b97
1416535b3285415
1598135b64d663
hex4b0a6b51f13b

82508122288443 has 64 divisors (see below), whose sum is σ = 115346414480000. Its totient is φ = 52407900979200.

The previous prime is 82508122288421. The next prime is 82508122288469. The reversal of 82508122288443 is 34488222180528.

82508122288443 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 82508122288443 - 226 = 82508055179579 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (82508122288043) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2342565573 + ... + 2342600793.

It is an arithmetic number, because the mean of its divisors is an integer number (1802287726250).

Almost surely, 282508122288443 is an apocalyptic number.

82508122288443 is a deficient number, since it is larger than the sum of its proper divisors (32838292191557).

82508122288443 is a wasteful number, since it uses less digits than its factorization.

82508122288443 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36848.

The product of its (nonzero) digits is 15728640, while the sum is 57.

The spelling of 82508122288443 in words is "eighty-two trillion, five hundred eight billion, one hundred twenty-two million, two hundred eighty-eight thousand, four hundred forty-three".

Divisors: 1 3 37 61 111 183 277 831 1249 2257 3747 6771 10249 16897 30747 35221 46213 50691 76189 105663 138639 228567 345973 625189 1037919 1303177 1875567 2148481 2818993 3909531 6445443 8456979 9756217 12801001 21104353 29268651 38403003 43991029 63313059 79493797 131973087 238481391 360980029 595129237 780861061 1082940087 1627668073 1785387711 2342583183 2683452769 4883004219 8050358307 12185515033 22019781769 36556545099 66059345307 99287752453 297863257359 450864056221 743316417013 1352592168663 2229949251039 27502707429481 82508122288443