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3890431410366 = 2319294018813331
BaseRepresentation
bin111000100111001111110…
…010000100000010111110
3111202220212212001122022210
4320213033302010002332
51002220100420112431
612135123422521250
7551034342235614
oct70471762040276
914686785048283
103890431410366
11126aa17120556
12529ba9736226
13222b34aba047
14d64255796b4
156b2ebbccd46
hex389cfc840be

3890431410366 has 128 divisors (see below), whose sum is σ = 8506132185600. Its totient is φ = 1181537280000.

The previous prime is 3890431410289. The next prime is 3890431410367. The reversal of 3890431410366 is 6630141340983.

3890431410366 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3890431410367) 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, 1167945321 + ... + 1167948651.

It is an arithmetic number, because the mean of its divisors is an integer number (66454157700).

Almost surely, 23890431410366 is an apocalyptic number.

3890431410366 is an abundant number, since it is smaller than the sum of its proper divisors (4615700775234).

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

3890431410366 is a wasteful number, since it uses less digits than its factorization.

3890431410366 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4666.

The product of its (nonzero) digits is 1119744, while the sum is 48.

The spelling of 3890431410366 in words is "three trillion, eight hundred ninety billion, four hundred thirty-one million, four hundred ten thousand, three hundred sixty-six".

Divisors: 1 2 3 6 19 29 38 57 58 87 114 174 401 551 802 881 1102 1203 1653 1762 2406 2643 3306 3331 5286 6662 7619 9993 11629 15238 16739 19986 22857 23258 25549 33478 34887 45714 50217 51098 63289 69774 76647 96599 100434 126578 153294 189867 193198 220951 289797 353281 379734 441902 485431 579594 662853 706562 970862 1059843 1325706 1335731 1456293 1835381 2119686 2671462 2912586 2934611 3670762 4007193 5506143 5869222 6712339 8014386 8803833 10245149 11012286 13424678 17607666 20137017 20490298 25378889 30735447 38736199 40274034 50757778 55757609 61470894 76136667 77472398 85103719 111515218 116208597 152273334 167272827 170207438 194657831 232417194 255311157 334545654 389315662 510622314 583973493 735987781 1167946986 1176779011 1471975562 1616970661 2207963343 2353558022 3233941322 3530337033 4415926686 4850911983 7060674066 9701823966 22358801209 34126591319 44717602418 67076403627 68253182638 102379773957 134152807254 204759547914 648405235061 1296810470122 1945215705183 3890431410366