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138899269080 = 23325111317433691
BaseRepresentation
bin1000000101011100001…
…0101010010111011000
3111021112010110221210100
42001113002222113120
54233431203102310
6143450501215400
713015024210155
oct2012702522730
9437463427710
10138899269080
11539a801a770
1222b05101560
1310137816720
146a1937d22c
15392e293ec0
hex20570aa5d8

138899269080 has 768 divisors, whose sum is σ = 574754019840. Its totient is φ = 28565913600.

The previous prime is 138899269057. The next prime is 138899269133. The reversal of 138899269080 is 80962998831.

138899269080 is a `hidden beast` number, since 1 + 388 + 9 + 92 + 6 + 90 + 80 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 138899268999 and 138899269017.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 37630035 + ... + 37633725.

It is an arithmetic number, because the mean of its divisors is an integer number (748377630).

Almost surely, 2138899269080 is an apocalyptic number.

138899269080 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 138899269080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287377009920).

138899269080 is an abundant number, since it is smaller than the sum of its proper divisors (435854750760).

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

138899269080 is a wasteful number, since it uses less digits than its factorization.

138899269080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3792 (or 3785 counting only the distinct ones).

The product of its (nonzero) digits is 13436928, while the sum is 63.

The spelling of 138899269080 in words is "one hundred thirty-eight billion, eight hundred ninety-nine million, two hundred sixty-nine thousand, eighty".