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138690103008 = 25359173141539
BaseRepresentation
bin1000000100101010010…
…0110000011011100000
3111020222112220012212210
42001022210300123200
54233014131244013
6143414030122120
713006604265432
oct2011244603340
9436875805783
10138690103008
11538aaa47146
1222a67050340
13101033a0312
1469d9692652
15391ac28cc3
hex204a9306e0

138690103008 has 96 divisors (see below), whose sum is σ = 372374755200. Its totient is φ = 45183458816.

The previous prime is 138690103007. The next prime is 138690103039. The reversal of 138690103008 is 800301096831.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138690103007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 909103 + ... + 1050641.

It is an arithmetic number, because the mean of its divisors is an integer number (3878903700).

Almost surely, 2138690103008 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 138690103008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186187377600).

138690103008 is an abundant number, since it is smaller than the sum of its proper divisors (233684652192).

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

138690103008 is a wasteful number, since it uses less digits than its factorization.

138690103008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141784 (or 141776 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 39.

Adding to 138690103008 its reverse (800301096831), we get a palindrome (938991199839).

The spelling of 138690103008 in words is "one hundred thirty-eight billion, six hundred ninety million, one hundred three thousand, eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 59 96 118 173 177 236 346 354 472 519 692 708 944 1038 1384 1416 1888 2076 2768 2832 4152 5536 5664 8304 10207 16608 20414 30621 40828 61242 81656 122484 141539 163312 244968 283078 326624 424617 489936 566156 849234 979872 1132312 1698468 2264624 3396936 4529248 6793872 8350801 13587744 16701602 24486247 25052403 33403204 48972494 50104806 66806408 73458741 97944988 100209612 133612816 146917482 195889976 200419224 267225632 293834964 391779952 400838448 587669928 783559904 801676896 1175339856 1444688573 2350679712 2889377146 4334065719 5778754292 8668131438 11557508584 17336262876 23115017168 34672525752 46230034336 69345051504 138690103008