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14922089320 = 23517311375167
BaseRepresentation
bin11011110010110110…
…10000001101101000
31102111221112200022211
431321123100031220
5221030023324240
610504412054504
71035532444405
oct157133201550
942457480284
1014922089320
116368148626
122a85464434
13153a66a968
14a17b432ac
155c5074bea
hex3796d0368

14922089320 has 128 divisors (see below), whose sum is σ = 36971458560. Its totient is φ = 5395783680.

The previous prime is 14922089311. The next prime is 14922089321. The reversal of 14922089320 is 2398022941.

14922089320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (14922089321) 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 31 ways as a sum of consecutive naturals, for example, 2885377 + ... + 2890543.

It is an arithmetic number, because the mean of its divisors is an integer number (288839520).

Almost surely, 214922089320 is an apocalyptic number.

14922089320 is a gapful number since it is divisible by the number (10) 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 14922089320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18485729280).

14922089320 is an abundant number, since it is smaller than the sum of its proper divisors (22049369240).

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

14922089320 is a wasteful number, since it uses less digits than its factorization.

14922089320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5363 (or 5359 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 40.

The spelling of 14922089320 in words is "fourteen billion, nine hundred twenty-two million, eighty-nine thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 17 20 31 34 40 62 68 85 124 136 137 155 170 248 274 310 340 527 548 620 680 685 1054 1096 1240 1370 2108 2329 2635 2740 4216 4247 4658 5167 5270 5480 8494 9316 10334 10540 11645 16988 18632 20668 21080 21235 23290 25835 33976 41336 42470 46580 51670 72199 84940 87839 93160 103340 144398 160177 169880 175678 206680 288796 320354 351356 360995 439195 577592 640708 702712 707879 721990 800885 878390 1281416 1415758 1443980 1601770 1756780 2723009 2831516 2887960 3203540 3513560 3539395 5446018 5663032 6407080 7078790 10892036 12033943 13615045 14157580 21784072 21944249 24067886 27230090 28315160 43888498 48135772 54460180 60169715 87776996 96271544 108920360 109721245 120339430 175553992 219442490 240678860 373052233 438884980 481357720 746104466 877769960 1492208932 1865261165 2984417864 3730522330 7461044660 14922089320