Search a number
-
+
50970850560 = 283457279127
BaseRepresentation
bin101111011110000110…
…010111010100000000
311212120020122111020000
4233132012113110000
51313342014204220
635225442120000
73453051036600
oct573606272400
9155506574200
1050970850560
111a686797493
129a66050000
134a63c42106
142677650c00
1514d4c19390
hexbde197500

50970850560 has 1080 divisors, whose sum is σ = 216537108480. Its totient is φ = 11412430848.

The previous prime is 50970850549. The next prime is 50970850577. The reversal of 50970850560 is 6505807905.

50970850560 is a `hidden beast` number, since 5 + 0 + 9 + 7 + 0 + 85 + 0 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (1080).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 119 ways as a sum of consecutive naturals, for example, 401345217 + ... + 401345343.

Almost surely, 250970850560 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 50970850560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108268554240).

50970850560 is an abundant number, since it is smaller than the sum of its proper divisors (165566257920).

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

50970850560 is a wasteful number, since it uses less digits than its factorization.

50970850560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 378000, while the sum is 45.

The spelling of 50970850560 in words is "fifty billion, nine hundred seventy million, eight hundred fifty thousand, five hundred sixty".