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50983105536 = 21034111719173
BaseRepresentation
bin101111011110110101…
…000111010000000000
311212121002201002220000
4233132311013100000
51313403133334121
635231000520000
73453260150436
oct573665072000
9155532632800
1050983105536
111a6926a7870
129a6a180000
134a6664318c
142679120d56
1514d5d3a526
hexbded47400

50983105536 has 880 divisors, whose sum is σ = 186181364160. Its totient is φ = 13695713280.

The previous prime is 50983105529. The next prime is 50983105559. The reversal of 50983105536 is 63550138905.

50983105536 is a `hidden beast` number, since 5 + 0 + 9 + 8 + 3 + 105 + 536 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 50983105491 and 50983105500.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 294699946 + ... + 294700118.

It is an arithmetic number, because the mean of its divisors is an integer number (211569732).

Almost surely, 250983105536 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 50983105536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93090682080).

50983105536 is an abundant number, since it is smaller than the sum of its proper divisors (135198258624).

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

50983105536 is a wasteful number, since it uses less digits than its factorization.

50983105536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 486000, while the sum is 45.

The spelling of 50983105536 in words is "fifty billion, nine hundred eighty-three million, one hundred five thousand, five hundred thirty-six".