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138482225052 = 223174121133137
BaseRepresentation
bin1000000011111000101…
…1110000111110011100
3111020110001201220221020
42000332023300332130
54232102422200202
6143341242404140
713001501330313
oct2007613607634
9436401656836
10138482225052
1153803673386
1222a09500650
131009c2b8302
1469b9c1d27a
1539078655bc
hex203e2f0f9c

138482225052 has 48 divisors (see below), whose sum is σ = 323566912032. Its totient is φ = 46097694720.

The previous prime is 138482225009. The next prime is 138482225099. The reversal of 138482225052 is 250522284831.

138482225052 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 138482224995 and 138482225013.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 44143228 + ... + 44146364.

It is an arithmetic number, because the mean of its divisors is an integer number (6740977334).

Almost surely, 2138482225052 is an apocalyptic number.

138482225052 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

138482225052 is an abundant number, since it is smaller than the sum of its proper divisors (185084686980).

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

138482225052 is a wasteful number, since it uses less digits than its factorization.

138482225052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6998 (or 6996 counting only the distinct ones).

The product of its (nonzero) digits is 307200, while the sum is 42.

The spelling of 138482225052 in words is "one hundred thirty-eight billion, four hundred eighty-two million, two hundred twenty-five thousand, fifty-two".

Divisors: 1 2 3 4 6 12 1741 2113 3137 3482 4226 5223 6274 6339 6964 8452 9411 10446 12548 12678 18822 20892 25356 37644 3678733 5461517 6628481 7357466 10923034 11036199 13256962 14714932 16384551 19885443 21846068 22072398 26513924 32769102 39770886 44144796 65538204 79541772 11540185421 23080370842 34620556263 46160741684 69241112526 138482225052