Search a number
-
+
20350414524 = 22311228149877
BaseRepresentation
bin10010111100111110…
…101010111010111100
31221112020220011121110
4102330332222322330
5313134201231044
613203204002020
71320205445406
oct227476527274
957466804543
1020350414524
1186a3307700
123b3b390310
131bc41776cb
14db0a5db76
157e18d76b9
hex4bcfaaebc

20350414524 has 72 divisors (see below), whose sum is σ = 52380279504. Its totient is φ = 6144723200.

The previous prime is 20350414517. The next prime is 20350414529. The reversal of 20350414524 is 42541405302.

It is a junction number, because it is equal to n+sod(n) for n = 20350414491 and 20350414500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20350414529) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 383074 + ... + 432950.

It is an arithmetic number, because the mean of its divisors is an integer number (727503882).

Almost surely, 220350414524 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 20350414524, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26190139752).

20350414524 is an abundant number, since it is smaller than the sum of its proper divisors (32029864980).

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

20350414524 is a wasteful number, since it uses less digits than its factorization.

20350414524 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50187 (or 50174 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

Adding to 20350414524 its reverse (42541405302), we get a palindrome (62891819826).

The spelling of 20350414524 in words is "twenty billion, three hundred fifty million, four hundred fourteen thousand, five hundred twenty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 121 132 242 281 363 484 562 726 843 1124 1452 1686 3091 3372 6182 9273 12364 18546 34001 37092 49877 68002 99754 102003 136004 149631 199508 204006 299262 408012 548647 598524 1097294 1645941 2194588 3291882 6035117 6583764 12070234 14015437 18105351 24140468 28030874 36210702 42046311 56061748 72421404 84092622 154169807 168185244 308339614 462509421 616679228 925018842 1695867877 1850037684 3391735754 5087603631 6783471508 10175207262 20350414524