Search a number
-
+
43294270251648 = 27313531311249133
BaseRepresentation
bin10011101100000001110111…
…00110010110001010000000
312200021220002010120221101210
421312000323212112022000
521133313131141023043
6232025040240330120
712055623243134463
oct1166007346261200
9180256063527353
1043294270251648
1112881aa6972329
124a32877613940
131b2082ab40a10
14a9964d5732da
155012b3abb633
hex27603b996280

43294270251648 has 256 divisors, whose sum is σ = 127146651730560. Its totient is φ = 12970187243520.

The previous prime is 43294270251643. The next prime is 43294270251709. The reversal of 43294270251648 is 84615207249234.

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (43294270251641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34034890 + ... + 35284022.

It is a 1-persistent number, because it is pandigital, but 2⋅43294270251648 = 86588540503296 is not.

Almost surely, 243294270251648 is an apocalyptic number.

43294270251648 is a gapful number since it is divisible by the number (48) 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 43294270251648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63573325865280).

43294270251648 is an abundant number, since it is smaller than the sum of its proper divisors (83852381478912).

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

43294270251648 is a wasteful number, since it uses less digits than its factorization.

43294270251648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1249347 (or 1249335 counting only the distinct ones).

The product of its (nonzero) digits is 23224320, while the sum is 57.

The spelling of 43294270251648 in words is "forty-three trillion, two hundred ninety-four billion, two hundred seventy million, two hundred fifty-one thousand, six hundred forty-eight".