Search a number
-
+
5761214027040 = 25351011092234889
BaseRepresentation
bin101001111010110001100…
…0111011001010100100000
3202101202200220121021220210
41103311203013121110200
51223342431242331130
620130355402534120
71133143153142613
oct123654307312440
922352626537823
105761214027040
11192135413a74a
1279068ab07340
1332a384654384
1415cbb688217a
159ece08d85b0
hex53d631d9520

5761214027040 has 384 divisors, whose sum is σ = 18582388070400. Its totient is φ = 1500092006400.

The previous prime is 5761214027017. The next prime is 5761214027047. The reversal of 5761214027040 is 407204121675.

It is a self number, because there is not a number n which added to its sum of digits gives 5761214027040.

It is not an unprimeable number, because it can be changed into a prime (5761214027047) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1178400916 + ... + 1178405804.

It is an arithmetic number, because the mean of its divisors is an integer number (48391635600).

Almost surely, 25761214027040 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 5761214027040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9291194035200).

5761214027040 is an abundant number, since it is smaller than the sum of its proper divisors (12821174043360).

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

5761214027040 is a wasteful number, since it uses less digits than its factorization.

5761214027040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5340 (or 5332 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 39.

The spelling of 5761214027040 in words is "five trillion, seven hundred sixty-one billion, two hundred fourteen million, twenty-seven thousand, forty".