Search a number
-
+
50544871786656 = 2532131919328313009
BaseRepresentation
bin10110111111000011001010…
…01000001100100010100000
320121222001011000112220210200
423133201211020030202200
523111111344134133111
6255255554334425200
713434514020246102
oct1337414510144240
9217861130486720
1050544871786656
1115117a6146aa95
125803b27362200
1322284900406b0
14c6a556043572
155c9bc4d07256
hex2df86520c8a0

50544871786656 has 576 divisors, whose sum is σ = 164376337507200. Its totient is φ = 14604471631872.

The previous prime is 50544871786621. The next prime is 50544871786663. The reversal of 50544871786656 is 65668717844505.

50544871786656 is a `hidden beast` number, since 5 + 0 + 5 + 4 + 487 + 1 + 7 + 86 + 65 + 6 = 666.

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

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 3885370680 + ... + 3885383688.

It is an arithmetic number, because the mean of its divisors is an integer number (285375585950).

Almost surely, 250544871786656 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 50544871786656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82188168753600).

50544871786656 is an abundant number, since it is smaller than the sum of its proper divisors (113831465720544).

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

50544871786656 is a wasteful number, since it uses less digits than its factorization.

50544871786656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13533 (or 13522 counting only the distinct ones).

The product of its (nonzero) digits is 1354752000, while the sum is 72.

The spelling of 50544871786656 in words is "fifty trillion, five hundred forty-four billion, eight hundred seventy-one million, seven hundred eighty-six thousand, six hundred fifty-six".