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139782955421760 = 26357157751176419
BaseRepresentation
bin11111110010000111000001…
…011001110101000001000000
3200022221010020111120120100020
4133302013001121311001000
5121310200443041444020
61213143223032253440
741304661641564120
oct3762070131650100
9608833214516306
10139782955421760
11405a2689224152
1213816a58b41280
135ccc6260c0791
142673761644c80
15112611e9d6c40
hex7f21c1675040

139782955421760 has 448 divisors, whose sum is σ = 511125672468480. Its totient is φ = 31704431616000.

The previous prime is 139782955421723. The next prime is 139782955421761. The reversal of 139782955421760 is 67124559287931.

It is a tau number, because it is divible by the number of its divisors (448).

It is not an unprimeable number, because it can be changed into a prime (139782955421761) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 792246831 + ... + 792423249.

It is a 2-persistent number, because it is pandigital, and so is 2⋅139782955421760 = 279565910843520, but 3⋅139782955421760 = 419348866265280 is not.

Almost surely, 2139782955421760 is an apocalyptic number.

139782955421760 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 139782955421760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255562836234240).

139782955421760 is an abundant number, since it is smaller than the sum of its proper divisors (371342717046720).

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

139782955421760 is a wasteful number, since it uses less digits than its factorization.

139782955421760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177354 (or 177344 counting only the distinct ones).

The product of its (nonzero) digits is 228614400, while the sum is 69.

The spelling of 139782955421760 in words is "one hundred thirty-nine trillion, seven hundred eighty-two billion, nine hundred fifty-five million, four hundred twenty-one thousand, seven hundred sixty".