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191047127040 = 2123357211641
BaseRepresentation
bin1011000111101101001…
…0111101000000000000
3200021010101212121122000
42301323102331000000
511112231031031130
6223433230544000
716542216533400
oct2617322750000
9607111777560
10191047127040
1174028139240
1231039368000
131502855c703
149365056800
154e824a6260
hex2c7b4bd000

191047127040 has 1248 divisors, whose sum is σ = 863255387520. Its totient is φ = 39636172800.

The previous prime is 191047126987. The next prime is 191047127059. The reversal of 191047127040 is 40721740191.

191047127040 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 191047126986 and 191047127004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 298045120 + ... + 298045760.

Almost surely, 2191047127040 is an apocalyptic number.

191047127040 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 191047127040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (431627693760).

191047127040 is an abundant number, since it is smaller than the sum of its proper divisors (672208260480).

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

191047127040 is a wasteful number, since it uses less digits than its factorization.

191047127040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 704 (or 669 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

The spelling of 191047127040 in words is "one hundred ninety-one billion, forty-seven million, one hundred twenty-seven thousand, forty".