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138825675336700 = 2252111071179487471
BaseRepresentation
bin11111100100001011011111…
…000100000110101111111100
3200012112121100000012200020001
4133210023133010012233330
5121144004440341233300
61211131345042004044
741145552436245052
oct3744133704065774
9605477300180201
10138825675336700
1140263702605690
12136a1419946624
135c60288544721
14263d2acb041d2
15110b29392316a
hex7e42df106bfc

138825675336700 has 72 divisors (see below), whose sum is σ = 331709620725504. Its totient is φ = 50010268728000.

The previous prime is 138825675336643. The next prime is 138825675336793. The reversal of 138825675336700 is 7633576528831.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 589626036 + ... + 589861435.

It is an arithmetic number, because the mean of its divisors is an integer number (4607078065632).

Almost surely, 2138825675336700 is an apocalyptic number.

138825675336700 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

138825675336700 is an abundant number, since it is smaller than the sum of its proper divisors (192883945388804).

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

138825675336700 is a wasteful number, since it uses less digits than its factorization.

138825675336700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1179487603 (or 1179487596 counting only the distinct ones).

The product of its (nonzero) digits is 152409600, while the sum is 64.

The spelling of 138825675336700 in words is "one hundred thirty-eight trillion, eight hundred twenty-five billion, six hundred seventy-five million, three hundred thirty-six thousand, seven hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 107 110 214 220 275 428 535 550 1070 1100 1177 2140 2354 2675 4708 5350 5885 10700 11770 23540 29425 58850 117700 1179487471 2358974942 4717949884 5897437355 11794874710 12974362181 23589749420 25948724362 29487186775 51897448724 58974373550 64871810905 117948747100 126205159397 129743621810 252410318794 259487243620 324359054525 504820637588 631025796985 648718109050 1262051593970 1297436218100 1388256753367 2524103187940 2776513506734 3155128984925 5553027013468 6310257969850 6941283766835 12620515939700 13882567533670 27765135067340 34706418834175 69412837668350 138825675336700