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138769118580 = 2235192931135403
BaseRepresentation
bin1000000100111101001…
…0001011010101110100
3111021012001120121212110
42001033102023111310
54233144343243310
6143425531451020
713011554021511
oct2011722132564
9437161517773
10138769118580
1153940605774
1222a895b6a70
13101168775b1
146a05d80308
153922b35d20
hex204f48b574

138769118580 has 192 divisors, whose sum is σ = 436759142400. Its totient is φ = 32756451840.

The previous prime is 138769118573. The next prime is 138769118591. The reversal of 138769118580 is 85811967831.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a self number, because there is not a number n which added to its sum of digits gives 138769118580.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 957159 + ... + 1092561.

It is an arithmetic number, because the mean of its divisors is an integer number (2274787200).

Almost surely, 2138769118580 is an apocalyptic number.

138769118580 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 138769118580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218379571200).

138769118580 is an abundant number, since it is smaller than the sum of its proper divisors (297990023820).

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

138769118580 is a wasteful number, since it uses less digits than its factorization.

138769118580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135494 (or 135492 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 57.

The spelling of 138769118580 in words is "one hundred thirty-eight billion, seven hundred sixty-nine million, one hundred eighteen thousand, five hundred eighty".