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138502425776 = 241113161337529
BaseRepresentation
bin1000000011111101100…
…0110100110010110000
3111020111110202020010012
42000333120310302300
54232123110111101
6143343243354052
713002135123461
oct2007730646260
9436443666105
10138502425776
11538140104a0
1222a14222928
13100a353bbc0
1469bc79ad68
153909505bbb
hex203f634cb0

138502425776 has 80 divisors (see below), whose sum is σ = 315466371360. Its totient is φ = 58075330560.

The previous prime is 138502425767. The next prime is 138502425779. The reversal of 138502425776 is 677524205831.

It is not an unprimeable number, because it can be changed into a prime (138502425779) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 3671780 + ... + 3709308.

It is an arithmetic number, because the mean of its divisors is an integer number (3943329642).

Almost surely, 2138502425776 is an apocalyptic number.

138502425776 is a gapful number since it is divisible by the number (16) 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 138502425776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157733185680).

138502425776 is an abundant number, since it is smaller than the sum of its proper divisors (176963945584).

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

138502425776 is a wasteful number, since it uses less digits than its factorization.

138502425776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39174 (or 39168 counting only the distinct ones).

The product of its (nonzero) digits is 2822400, while the sum is 50.

The spelling of 138502425776 in words is "one hundred thirty-eight billion, five hundred two million, four hundred twenty-five thousand, seven hundred seventy-six".

Divisors: 1 2 4 8 11 13 16 22 26 44 52 88 104 143 176 208 286 572 1144 1613 2288 3226 6452 12904 17743 20969 25808 35486 37529 41938 70972 75058 83876 141944 150116 167752 230659 283888 300232 335504 412819 461318 487877 600464 825638 922636 975754 1651276 1845272 1951508 3302552 3690544 3903016 5366647 6605104 7806032 10733294 21466588 42933176 60534277 85866352 121068554 242137108 484274216 665877047 786945601 968548432 1331754094 1573891202 2663508188 3147782404 5327016376 6295564808 8656401611 10654032752 12591129616 17312803222 34625606444 69251212888 138502425776