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139223282688 = 21032717374773
BaseRepresentation
bin1000000110101001011…
…0101011010000000000
3111022100201011112220100
42001222112223100000
54240112130021223
6143542554042400
713026040243230
oct2015226532000
9438321145810
10139223282688
1154053a05a06
1222b95719400
13101899a1759
146a4a403cc0
15394c948043
hex206a5ab400

139223282688 has 1056 divisors, whose sum is σ = 517225872384. Its totient is φ = 35162947584.

The previous prime is 139223282659. The next prime is 139223282689. The reversal of 139223282688 is 886282322931.

139223282688 is a `hidden beast` number, since 1 + 39 + 22 + 328 + 268 + 8 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (139223282689) 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 95 ways as a sum of consecutive naturals, for example, 1907168220 + ... + 1907168292.

Almost surely, 2139223282688 is an apocalyptic number.

139223282688 is a gapful number since it is divisible by the number (18) 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 139223282688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258612936192).

139223282688 is an abundant number, since it is smaller than the sum of its proper divisors (378002589696).

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

139223282688 is a wasteful number, since it uses less digits than its factorization.

139223282688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 186 counting only the distinct ones).

The product of its digits is 3981312, while the sum is 54.

The spelling of 139223282688 in words is "one hundred thirty-nine billion, two hundred twenty-three million, two hundred eighty-two thousand, six hundred eighty-eight".