Search a number
-
+
50234954434560 = 211325717194912
BaseRepresentation
bin10110110110000001111001…
…00111010100100000000000
320120212102012100101012112200
423123000330213110200000
523041022141313401220
6254501341450153200
713403233000233450
oct1333007447244000
9216772170335480
1050234954434560
1115008585179335
125773a54722800
13220519c6a100c
14c59555b33d60
155c1ad6b63890
hex2db03c9d4800

50234954434560 has 1728 divisors, whose sum is σ = 222223195958400. Its totient is φ = 10217214443520.

The previous prime is 50234954434549. The next prime is 50234954434591. The reversal of 50234954434560 is 6543445943205.

50234954434560 is a `hidden beast` number, since 5 + 0 + 2 + 3 + 4 + 9 + 5 + 44 + 34 + 560 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 50234954434497 and 50234954434506.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 102311515915 + ... + 102311516405.

It is an arithmetic number, because the mean of its divisors is an integer number (128601386550).

Almost surely, 250234954434560 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 50234954434560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111111597979200).

50234954434560 is an abundant number, since it is smaller than the sum of its proper divisors (171988241523840).

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

50234954434560 is a wasteful number, since it uses less digits than its factorization.

50234954434560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1058 (or 544 counting only the distinct ones).

The product of its (nonzero) digits is 31104000, while the sum is 54.

The spelling of 50234954434560 in words is "fifty trillion, two hundred thirty-four billion, nine hundred fifty-four million, four hundred thirty-four thousand, five hundred sixty".