Search a number
-
+
112474957153680 = 24335114733794493
BaseRepresentation
bin11001100100101110011101…
…110111100000010110010000
3112202020111112011001221102000
4121210232131313200112100
5104220242203012404210
61035114140524554000
732456022201311442
oct3144563567402620
9482214464057360
10112474957153680
11329243a8108370
12107464976b2900
134a9b45c5c7b24
141dabb61ab6492
15d00ae99daac0
hex664b9dde0590

112474957153680 has 160 divisors (see below), whose sum is σ = 422633172424320. Its totient is φ = 27266656273920.

The previous prime is 112474957153667. The next prime is 112474957153711. The reversal of 112474957153680 is 86351759474211.

112474957153680 is a `hidden beast` number, since 1 + 1 + 2 + 4 + 7 + 4 + 9 + 571 + 53 + 6 + 8 + 0 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2366873487 + ... + 2366921006.

It is an arithmetic number, because the mean of its divisors is an integer number (2641457327652).

It is a 1-persistent number, because it is pandigital, but 2⋅112474957153680 = 224949914307360 is not.

Almost surely, 2112474957153680 is an apocalyptic number.

112474957153680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112474957153680 is an abundant number, since it is smaller than the sum of its proper divisors (310158215270640).

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

112474957153680 is a wasteful number, since it uses less digits than its factorization.

112474957153680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4733794526 (or 4733794514 counting only the distinct ones).

The product of its (nonzero) digits is 50803200, while the sum is 63.

The spelling of 112474957153680 in words is "one hundred twelve trillion, four hundred seventy-four billion, nine hundred fifty-seven million, one hundred fifty-three thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 27 30 33 36 40 44 45 48 54 55 60 66 72 80 88 90 99 108 110 120 132 135 144 165 176 180 198 216 220 240 264 270 297 330 360 396 432 440 495 528 540 594 660 720 792 880 990 1080 1188 1320 1485 1584 1980 2160 2376 2640 2970 3960 4752 5940 7920 11880 23760 4733794493 9467588986 14201383479 18935177972 23668972465 28402766958 37870355944 42604150437 47337944930 52071739423 56805533916 71006917395 75740711888 85208300874 94675889860 104143478846 113611067832 127812451311 142013834790 156215218269 170416601748 189351779720 208286957692 213020752185 227222135664 255624902622 260358697115 284027669580 312430436538 340833203496 378703559440 416573915384 426041504370 468645654807 511249805244 520717394230 568055339160 624860873076 639062256555 681666406992 781076091345 833147830768 852083008740 937291309614 1022499610488 1041434788460 1136110678320 1249721746152 1278124513110 1405936964421 1562152182690 1704166017480 1874582619228 2044999220976 2082869576920 2343228274035 2499443492304 2556249026220 2811873928842 3124304365380 3408332034960 3749165238456 4165739153840 4686456548070 5112498052440 5623747857684 6248608730760 7029684822105 7498330476912 9372913096140 10224996104880 11247495715368 12497217461520 14059369644210 18745826192280 22494991430736 28118739288420 37491652384560 56237478576840 112474957153680