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138185708138772 = 22372235009707719
BaseRepresentation
bin11111011010110111011110…
…000010111111000100010100
3200010021102110121000121012220
4133122313132002333010110
5121103013312240420042
61205521345443542340
741051405444645100
oct3732673602770424
9603242417017186
10138185708138772
11400372588287a8
12135b939608a9b0
135c14b1957b198
14261a31c790900
1510e97d9dec8ec
hex7dadde0bf114

138185708138772 has 36 divisors (see below), whose sum is σ = 375075493521120. Its totient is φ = 39481630896624.

The previous prime is 138185708138741. The next prime is 138185708138773. The reversal of 138185708138772 is 277831807581831.

It is a junction number, because it is equal to n+sod(n) for n = 138185708138697 and 138185708138706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138185708138773) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 117504853272 + ... + 117504854447.

It is an arithmetic number, because the mean of its divisors is an integer number (10418763708920).

Almost surely, 2138185708138772 is an apocalyptic number.

138185708138772 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

138185708138772 is an abundant number, since it is smaller than the sum of its proper divisors (236889785382348).

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

138185708138772 is a wasteful number, since it uses less digits than its factorization.

138185708138772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235009707740 (or 235009707731 counting only the distinct ones).

The product of its (nonzero) digits is 126443520, while the sum is 69.

The spelling of 138185708138772 in words is "one hundred thirty-eight trillion, one hundred eighty-five billion, seven hundred eight million, one hundred thirty-eight thousand, seven hundred seventy-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 147 196 294 588 235009707719 470019415438 705029123157 940038830876 1410058246314 1645067954033 2820116492628 3290135908066 4935203862099 6580271816132 9870407724198 11515475678231 19740815448396 23030951356462 34546427034693 46061902712924 69092854069386 138185708138772