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14693922320 = 24571110323159
BaseRepresentation
bin11011010111101001…
…10111011000010000
31101221001012121001012
431223310313120100
5220043121003240
610430021430052
71030062164450
oct155364673020
941831177035
1014693922320
116260377360
122a20b6b328
131502300abc
149d570bd60
155b0004b65
hex36bd37610

14693922320 has 160 divisors (see below), whose sum is σ = 43008675840. Its totient is φ = 4535262720.

The previous prime is 14693922277. The next prime is 14693922323. The reversal of 14693922320 is 2322939641.

It is a super-2 number, since 2×146939223202 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (14693922323) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 622901 + ... + 646059.

It is an arithmetic number, because the mean of its divisors is an integer number (268804224).

Almost surely, 214693922320 is an apocalyptic number.

14693922320 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 14693922320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21504337920).

14693922320 is an abundant number, since it is smaller than the sum of its proper divisors (28314753520).

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

14693922320 is a wasteful number, since it uses less digits than its factorization.

14693922320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23293 (or 23287 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 41.

The spelling of 14693922320 in words is "fourteen billion, six hundred ninety-three million, nine hundred twenty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 35 40 44 55 56 70 77 80 88 103 110 112 140 154 176 206 220 280 308 385 412 440 515 560 616 721 770 824 880 1030 1133 1232 1442 1540 1648 2060 2266 2884 3080 3605 4120 4532 5665 5768 6160 7210 7931 8240 9064 11330 11536 14420 15862 18128 22660 23159 28840 31724 39655 45320 46318 57680 63448 79310 90640 92636 115795 126896 158620 162113 185272 231590 254749 317240 324226 370544 463180 509498 634480 648452 810565 926360 1018996 1273745 1296904 1621130 1783243 1852720 2037992 2385377 2547490 2593808 3242260 3566486 4075984 4770754 5094980 6484520 7132972 8916215 9541508 10189960 11926885 12969040 14265944 16697639 17832430 19083016 20379920 23853770 26239147 28531888 33395278 35664860 38166032 47707540 52478294 66790556 71329720 83488195 95415080 104956588 131195735 133581112 142659440 166976390 183674029 190830160 209913176 262391470 267162224 333952780 367348058 419826352 524782940 667905560 734696116 918370145 1049565880 1335811120 1469392232 1836740290 2099131760 2938784464 3673480580 7346961160 14693922320