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138776468355 = 3257440560217
BaseRepresentation
bin1000000100111110111…
…0001101101110000011
3111021012120102000212100
42001033232031232003
54233203233441410
6143430353201443
713012003342440
oct2011756155603
9437176360770
10138776468355
1153944775768
1222a8bb60283
131011824ba85
146a06d349c7
1539235d88c0
hex204fb8db83

138776468355 has 24 divisors (see below), whose sum is σ = 274909576032. Its totient is φ = 63440671104.

The previous prime is 138776468353. The next prime is 138776468371. The reversal of 138776468355 is 553864677831.

It is a happy number.

138776468355 is a `hidden beast` number, since 138 + 7 + 7 + 6 + 468 + 35 + 5 = 666.

138776468355 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 138776468355 - 21 = 138776468353 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 138776468292 and 138776468301.

It is not an unprimeable number, because it can be changed into a prime (138776468353) by changing a digit.

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, 220279794 + ... + 220280423.

It is an arithmetic number, because the mean of its divisors is an integer number (11454565668).

Almost surely, 2138776468355 is an apocalyptic number.

138776468355 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

138776468355 is a deficient number, since it is larger than the sum of its proper divisors (136133107677).

138776468355 is a wasteful number, since it uses less digits than its factorization.

138776468355 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 440560235 (or 440560232 counting only the distinct ones).

The product of its digits is 101606400, while the sum is 63.

The spelling of 138776468355 in words is "one hundred thirty-eight billion, seven hundred seventy-six million, four hundred sixty-eight thousand, three hundred fifty-five".

Divisors: 1 3 5 7 9 15 21 35 45 63 105 315 440560217 1321680651 2202801085 3083921519 3965041953 6608403255 9251764557 15419607595 19825209765 27755293671 46258822785 138776468355