Search a number
-
+
244661093238536 = 2313478921115971669
BaseRepresentation
bin110111101000010010011001…
…100011011000011100001000
31012002021101001020210220101122
4313220102121203120130020
5224032011404332113121
62224203430554134412
7102351115653242522
oct6750223143303410
91162241036726348
10244661093238536
1170a58206916967
1223534b61121408
13a669599390950
14445b935434a12
151d442e32d45ab
hexde84998d8708

244661093238536 has 256 divisors, whose sum is σ = 513253770624000. Its totient is φ = 108625044971520.

The previous prime is 244661093238533. The next prime is 244661093238547. The reversal of 244661093238536 is 635832390166442.

It is not an unprimeable number, because it can be changed into a prime (244661093238533) 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, 146591427110 + ... + 146591428778.

It is an arithmetic number, because the mean of its divisors is an integer number (2004897541500).

Almost surely, 2244661093238536 is an apocalyptic number.

244661093238536 is a gapful number since it is divisible by the number (26) 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 244661093238536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256626885312000).

244661093238536 is an abundant number, since it is smaller than the sum of its proper divisors (268592677385464).

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

244661093238536 is a wasteful number, since it uses less digits than its factorization.

244661093238536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3632 (or 3628 counting only the distinct ones).

The product of its (nonzero) digits is 134369280, while the sum is 62.

The spelling of 244661093238536 in words is "two hundred forty-four trillion, six hundred sixty-one billion, ninety-three million, two hundred thirty-eight thousand, five hundred thirty-six".