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49399823700864 = 2733713612575019
BaseRepresentation
bin10110011101101110010101…
…11100011001001110000000
320110220120120122120021201000
423032313022330121032000
522433331314331411424
6253021544332212000
713256006453150340
oct1316671274311600
9213816518507630
1049399823700864
11148163906a042a
12565a02500a000
1321744ca3b9270
14c2ad6db90d20
155aa0095ba3c9
hex2cedcaf19380

49399823700864 has 512 divisors, whose sum is σ = 182385576576000. Its totient is φ = 12814937579520.

The previous prime is 49399823700797. The next prime is 49399823700883. The reversal of 49399823700864 is 46800732899394.

49399823700864 is a `hidden beast` number, since 4 + 93 + 9 + 98 + 2 + 370 + 0 + 86 + 4 = 666.

49399823700864 is digitally balanced in base 2, 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 (72).

It is a junction number, because it is equal to n+sod(n) for n = 49399823700792 and 49399823700801.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17896747 + ... + 20471765.

It is an arithmetic number, because the mean of its divisors is an integer number (356221829250).

Almost surely, 249399823700864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49399823700864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91192788288000).

49399823700864 is an abundant number, since it is smaller than the sum of its proper divisors (132985752875136).

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

49399823700864 is a wasteful number, since it uses less digits than its factorization.

49399823700864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2575123 (or 2575105 counting only the distinct ones).

The product of its (nonzero) digits is 564350976, while the sum is 72.

The spelling of 49399823700864 in words is "forty-nine trillion, three hundred ninety-nine billion, eight hundred twenty-three million, seven hundred thousand, eight hundred sixty-four".