Search a number
-
+
493455688880 = 245711372165039
BaseRepresentation
bin1110010111001000100…
…00000100010010110000
31202011200202221021002012
413023210100010102300
531041044124021010
61014405043542052
750436202102160
oct7134420042260
91664622837065
10493455688880
11180300965710
127b77538a928
13376c038402b
1419c520065a0
15cc8132d005
hex72e44044b0

493455688880 has 160 divisors (see below), whose sum is σ = 1469040261120. Its totient is φ = 149647426560.

The previous prime is 493455688871. The next prime is 493455688889. The reversal of 493455688880 is 88886554394.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (493455688871) and next prime (493455688889).

It is a self number, because there is not a number n which added to its sum of digits gives 493455688880.

It is not an unprimeable number, because it can be changed into a prime (493455688889) 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, 854600 + ... + 1310439.

It is an arithmetic number, because the mean of its divisors is an integer number (9181501632).

Almost surely, 2493455688880 is an apocalyptic number.

493455688880 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

493455688880 is an abundant number, since it is smaller than the sum of its proper divisors (975584572240).

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

493455688880 is a wasteful number, since it uses less digits than its factorization.

493455688880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2165107 (or 2165101 counting only the distinct ones).

The product of its (nonzero) digits is 265420800, while the sum is 68.

The spelling of 493455688880 in words is "four hundred ninety-three billion, four hundred fifty-five million, six hundred eighty-eight thousand, eight hundred eighty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 35 37 40 44 55 56 70 74 77 80 88 110 112 140 148 154 176 185 220 259 280 296 308 370 385 407 440 518 560 592 616 740 770 814 880 1036 1232 1295 1480 1540 1628 2035 2072 2590 2849 2960 3080 3256 4070 4144 5180 5698 6160 6512 8140 10360 11396 14245 16280 20720 22792 28490 32560 45584 56980 113960 227920 2165039 4330078 8660156 10825195 15155273 17320312 21650390 23815429 30310546 34640624 43300780 47630858 60621092 75776365 80106443 86601560 95261716 119077145 121242184 151552730 160212886 166708003 173203120 190523432 238154290 242484368 303105460 320425772 333416006 381046864 400532215 476308580 560745101 606210920 640851544 666832012 801064430 833540015 881170873 952617160 1121490202 1212421840 1281703088 1333664024 1602128860 1667080030 1762341746 1905234320 2242980404 2667328048 2803725505 3204257720 3334160060 3524683492 4405854365 4485960808 5607451010 6168196111 6408515440 6668320120 7049366984 8811708730 8971921616 11214902020 12336392222 13336640240 14098733968 17623417460 22429804040 24672784444 30840980555 35246834920 44859608080 49345568888 61681961110 70493669840 98691137776 123363922220 246727844440 493455688880