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49764488970240 = 220355115367
BaseRepresentation
bin10110101000010101100101…
…01100000000000000000000
320112012102211210121100200000
423110022302230000000000
523010320133134021430
6253501253550400000
713324236266615112
oct1324126254000000
9215172753540600
1049764488970240
1114947001736710
1256b8836800000
13219ca04365875
14c408851d33b2
155b474dd63e60
hex2d42b2b00000

49764488970240 has 2016 divisors, whose sum is σ = 201820953874176. Its totient is φ = 11659829575680.

The previous prime is 49764488970227. The next prime is 49764488970253. The reversal of 49764488970240 is 4207988446794.

49764488970240 is a `hidden beast` number, since 4 + 9 + 76 + 4 + 488 + 9 + 70 + 2 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (49764488970227) and next prime (49764488970253).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 742753566687 + ... + 742753566753.

It is an arithmetic number, because the mean of its divisors is an integer number (100109600136).

Almost surely, 249764488970240 is an apocalyptic number.

49764488970240 is a gapful number since it is divisible by the number (40) 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 49764488970240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100910476937088).

49764488970240 is an abundant number, since it is smaller than the sum of its proper divisors (152056464903936).

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

49764488970240 is an frugal number, since it uses more digits than its factorization.

49764488970240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 780337152, while the sum is 72.

The spelling of 49764488970240 in words is "forty-nine trillion, seven hundred sixty-four billion, four hundred eighty-eight million, nine hundred seventy thousand, two hundred forty".