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138852753181077 = 31316349943772539
BaseRepresentation
bin11111100100100100101101…
…000001111000100110010101
3200012122012020002221200200010
4133210210231001320212111
5121144430414303243302
61211152024010110433
741150531444155545
oct3744445501704625
9605565202850603
10138852753181077
1140274138317971
12136a671611b419
135c629b23ac450
14264071b00b325
15110bd2ac3316c
hex7e492d078995

138852753181077 has 32 divisors (see below), whose sum is σ = 201003503680000. Its totient is φ = 84753438616512.

The previous prime is 138852753181057. The next prime is 138852753181091. The reversal of 138852753181077 is 770181357258831.

It is not a de Polignac number, because 138852753181077 - 215 = 138852753148309 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 138852753180999 and 138852753181017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138852753181057) by changing a digit.

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, 18714127 + ... + 25058412.

It is an arithmetic number, because the mean of its divisors is an integer number (6281359490000).

Almost surely, 2138852753181077 is an apocalyptic number.

It is an amenable number.

138852753181077 is a deficient number, since it is larger than the sum of its proper divisors (62150750498923).

138852753181077 is a wasteful number, since it uses less digits than its factorization.

138852753181077 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43773217.

The product of its (nonzero) digits is 79027200, while the sum is 66.

The spelling of 138852753181077 in words is "one hundred thirty-eight trillion, eight hundred fifty-two billion, seven hundred fifty-three million, one hundred eighty-one thousand, seventy-seven".

Divisors: 1 3 13 39 163 489 499 1497 2119 6357 6487 19461 81337 244011 1057381 3172143 43772539 131317617 569043007 1707129021 7134923857 21404771571 21842496961 65527490883 92754010141 278262030423 283952460493 851857381479 3560327004643 10680981013929 46284251060359 138852753181077