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139139204256 = 25321337163249
BaseRepresentation
bin1000000110010101010…
…1111100010010100000
3111022010211221220222100
42001211111330102200
54234424114014011
6143530352010400
713023666502503
oct2014525742240
9438124856870
10139139204256
11540104a95a8
1222b71530a00
1310175443bc0
146a3d19913a
15394538ad56
hex206557c4a0

139139204256 has 72 divisors (see below), whose sum is σ = 426113824500. Its totient is φ = 42812061696.

The previous prime is 139139204233. The next prime is 139139204257. The reversal of 139139204256 is 652402931931.

139139204256 is a `hidden beast` number, since 1 + 3 + 9 + 1 + 392 + 0 + 4 + 256 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 119912608656 + 19226595600 = 346284^2 + 138660^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (139139204257) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18577881 + ... + 18585368.

Almost surely, 2139139204256 is an apocalyptic number.

139139204256 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

139139204256 is an abundant number, since it is smaller than the sum of its proper divisors (286974620244).

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

139139204256 is a wasteful number, since it uses less digits than its factorization.

139139204256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37163278 (or 37163267 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The spelling of 139139204256 in words is "one hundred thirty-nine billion, one hundred thirty-nine million, two hundred four thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 72 78 96 104 117 144 156 208 234 288 312 416 468 624 936 1248 1872 3744 37163249 74326498 111489747 148652996 222979494 297305992 334469241 445958988 483122237 594611984 668938482 891917976 966244474 1189223968 1337876964 1449366711 1783835952 1932488948 2675753928 2898733422 3567671904 3864977896 4348100133 5351507856 5797466844 7729955792 8696200266 10703015712 11594933688 15459911584 17392400532 23189867376 34784801064 46379734752 69569602128 139139204256