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328860068823 = 331113216739233
BaseRepresentation
bin1001100100100011001…
…01100110101111010111
31011102211211020102112000
410302101211212233113
520342001134200243
6411024244330343
732521313314566
oct4622145465727
91142754212460
10328860068823
11117517a32150
125389a6a39b3
132501bca1900
1411cba015bdd
15884b1b55d3
hex4c91966bd7

328860068823 has 96 divisors (see below), whose sum is σ = 578980846080. Its totient is φ = 182871336960.

The previous prime is 328860068813. The next prime is 328860068833.

328860068823 is a `hidden beast` number, since 3 + 2 + 8 + 8 + 600 + 6 + 8 + 8 + 23 = 666.

328860068823 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (328860068813) and next prime (328860068833).

It is not a de Polignac number, because 328860068823 - 29 = 328860068311 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 328860068823.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (328860068813) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8362615 + ... + 8401847.

It is an arithmetic number, because the mean of its divisors is an integer number (6031050480).

Almost surely, 2328860068823 is an apocalyptic number.

328860068823 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

328860068823 is a deficient number, since it is larger than the sum of its proper divisors (250120777257).

328860068823 is a wasteful number, since it uses less digits than its factorization.

328860068823 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39446 (or 39427 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 54.

The spelling of 328860068823 in words is "three hundred twenty-eight billion, eight hundred sixty million, sixty-eight thousand, eight hundred twenty-three".

Divisors: 1 3 9 11 13 27 33 39 99 117 143 167 169 297 351 429 501 507 1287 1503 1521 1837 1859 2171 3861 4509 4563 5511 5577 6513 16533 16731 19539 23881 28223 39233 49599 50193 58617 71643 84669 117699 214929 254007 310453 353097 431563 510029 644787 762021 931359 1059291 1294689 1530087 2794077 3884067 4590261 5610319 6551911 6630377 8382231 11652201 13770783 16830957 19655733 19891131 50492871 58967199 59673393 72071021 72934147 85174843 151478613 176901597 179020179 216213063 218802441 255524529 648639189 656407323 766573587 936923273 1107272959 1945917567 1969221969 2299720761 2810769819 3321818877 8432309457 9965456631 12180002549 25296928371 29896369893 36540007647 109620022941 328860068823