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136812569800 = 23522331195633
BaseRepresentation
bin111111101101010101…
…0100010010011001000
3111002010200222122111211
41333122222202103020
54220143004213200
6142503440102504
712612225440614
oct1773252422310
9432120878454
10136812569800
1153027146705
1222622304a34
13cb9440491a
14689c196344
15385aea7aba
hex1fdaaa24c8

136812569800 has 96 divisors (see below), whose sum is σ = 332989937280. Its totient is φ = 52176819200.

The previous prime is 136812569779. The next prime is 136812569833. The reversal of 136812569800 is 8965218631.

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 23 ways as a sum of consecutive naturals, for example, 1382784 + ... + 1478416.

It is an arithmetic number, because the mean of its divisors is an integer number (3468645180).

Almost surely, 2136812569800 is an apocalyptic number.

136812569800 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 136812569800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166494968640).

136812569800 is an abundant number, since it is smaller than the sum of its proper divisors (196177367480).

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

136812569800 is a wasteful number, since it uses less digits than its factorization.

136812569800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95983 (or 95974 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 49.

The spelling of 136812569800 in words is "one hundred thirty-six billion, eight hundred twelve million, five hundred sixty-nine thousand, eight hundred".

Divisors: 1 2 4 5 8 10 20 23 25 40 46 50 92 100 115 184 200 230 311 460 575 622 920 1150 1244 1555 2300 2488 3110 4600 6220 7153 7775 12440 14306 15550 28612 31100 35765 57224 62200 71530 95633 143060 178825 191266 286120 357650 382532 478165 715300 765064 956330 1430600 1912660 2199559 2390825 3825320 4399118 4781650 8798236 9563300 10997795 17596472 19126600 21995590 29741863 43991180 54988975 59483726 87982360 109977950 118967452 148709315 219955900 237934904 297418630 439911800 594837260 684062849 743546575 1189674520 1368125698 1487093150 2736251396 2974186300 3420314245 5472502792 5948372600 6840628490 13681256980 17101571225 27362513960 34203142450 68406284900 136812569800