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10323643084392 = 23311227373461843
BaseRepresentation
bin1001011000111010100100…
…0101000010111001101000
31100112221010102210102002210
42112032221011002321220
52323120310112200032
633542341031325120
72113600333231101
oct226165105027150
940487112712083
1010323643084392
113320261425590
1211a895b2207a0
1359b6913485a1
1427994a31d3a8
1512d81d0e02cc
hex963a9142e68

10323643084392 has 128 divisors (see below), whose sum is σ = 28355300328960. Its totient is φ = 3106238449920.

The previous prime is 10323643084351. The next prime is 10323643084499. The reversal of 10323643084392 is 29348034632301.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22122223 + ... + 22584065.

It is an arithmetic number, because the mean of its divisors is an integer number (221525783820).

Almost surely, 210323643084392 is an apocalyptic number.

10323643084392 is a gapful number since it is divisible by the number (12) 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 10323643084392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14177650164480).

10323643084392 is an abundant number, since it is smaller than the sum of its proper divisors (18031657244568).

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

10323643084392 is a wasteful number, since it uses less digits than its factorization.

10323643084392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 462463 (or 462459 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 48.

The spelling of 10323643084392 in words is "ten trillion, three hundred twenty-three billion, six hundred forty-three million, eighty-four thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 227 264 373 454 681 746 908 1119 1362 1492 1816 2238 2497 2724 2984 4103 4476 4994 5448 7491 8206 8952 9988 12309 14982 16412 19976 24618 29964 32824 49236 59928 84671 98472 169342 254013 338684 461843 508026 677368 923686 931381 1016052 1385529 1847372 1862762 2032104 2771058 2794143 3694744 3725524 5080273 5542116 5588286 7451048 10160546 11084232 11176572 15240819 20321092 22353144 30481638 40642184 60963276 104838361 121926552 172267439 209676722 314515083 344534878 419353444 516802317 629030166 689069756 838706888 1033604634 1153221971 1258060332 1378139512 1894941829 2067209268 2306443942 2516120664 3459665913 3789883658 4134418536 4612887884 5684825487 6919331826 7579767316 9225775768 11369650974 13838663652 15159534632 22739301948 27677327304 39104708653 45478603896 78209417306 117314125959 156418834612 234628251918 312837669224 430151795183 469256503836 860303590366 938513007672 1290455385549 1720607180732 2580910771098 3441214361464 5161821542196 10323643084392